World Scientific Publishers - 2020 Mathematics

World Scientific Connecting Great Minds

2020 MATHEMATICS New books available on WorldSciNet

Highlights page

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Dragu Atanasiu (University of Borås, Sweden), Piotr Mikusiński (University of Central Florida, USA)

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Victor Guillemin & Peter Haine (Massachusetts Institute of Technology, USA)

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Vieri Benci & Mauro Di Nasso (Università di Pisa, Italy)

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John Mack (Sydney University, Australia), Bruce Vogeli (Columbia University, USA)

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Richard Michael Hill (University College London, UK)

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Dmitry Beliaev (University of Oxford, UK)

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James V Lambers & Amber C Sumner (The University of Southern Mississippi, USA)

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Ingram Olkin (Stanford), Leon J Gleser (University of Pittsburgh, USA) & Cyrus Derman (Columbia University, USA)

Mathematics 2020 page

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Gordana Dodig-Crnkovic (Chalmers University of Technology, Sweden & Mälardalen University, Sweden), Mark Burgin (University of California, Los Angeles, USA) page

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Frederic Y M Wan (University of California, Irvine, USA)

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Chen Ning Yang (Tsinghua University, China), Mo-Lin Ge (Chern Institute of Mathematics, China) & Yang-Hui He (City, University of London, UK)

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William Gasarch & Clyde Kruskal (University of Maryland, USA)

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Harumi Hattori (West Virginia University, USA)

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18

Mariana Montiel (Georgia State University, USA), Robert W Peck (Louisiana State University, USA)

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Martin J Lee (Stanford University, USA), Ken Tsang (Beijing Normal University - Hong Kong Baptist University United International College, China)

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Boyan Sirakov (Pontifical Catholic University of Rio de Janeiro, Brazil), Paulo Ney de Souza (UC Berkeley), Marcelo Viana (IMPA, Rio de Janeiro, Brazil)

c o n t e n t s

World Scientific Publishing is a leading independent publisher of books and journals for the scholarly, research, professional and educational communities. The company publishes about 600 books annually and over 140 journals in various fields. World Scientific collaborates with prestigious organisations like the Nobel Foundation, US National Academies Press, amongst others, to bring high quality academic and professional content to researchers and academics worldwide. To find out more about World Scientific, please visit www.worldscientific.com How to Order Please contact our representatives and the World Scientific office nearest to you.

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We would be delighted to hear from you if you are considering writing a book. Please contact any of our worldwide offices or email us at editor@worldscientific. com for more information. Alternatively, you can visit our website at www.worldscientific.com Other Catalogues We have produced these catalogues for the year 2020.

Please email us at mkt@wspc.com to request for any of them.

• Asian Studies • Business and Management • Chemistry • Civil Engineering • Computer Science • Earth, Energy and Environmental Science • Economics and Finance • Electrical and Electronic Engineering • Life Sciences • Mathematics • Materials Science and Nanoscience • Medical Science • Nonlinear Science • Physics • Popular Science

Mathematics

About World Scientific Publishing

Algebra & Number Theory ........................ 4 Combinatorics...............................................7 Computer Mathematics & Science.........7 Differential & Integral Equations ............8 Dynamical Systems & Ergodic Theory........................................................... 11 Geometry & Topology ............................. 12 Mathematical Analysis ............................ 15 Mathematical Biology ............................. 17 Mathematical Computation & Modeling ..................................................... 18 Mathematical Finance & Economics ................................................... 20 Mathematical Logic & Foundations .... 21 Numerical Analysis & Approximation........................................... 22 Mathematical Physics & Related Topics ............................................................ 23 Optimization & Control ........................... 27 Mathematics Education .......................... 28 Probability & Statistics............................. 31 Popular & Recreational Mathematics ............................................... 33 Proceedings ................................................ 35 Journals ........................................................ 36 Title Index .................................................... 40 Author Index............................................... 41

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Mathematics Catalogue 2020

ALEGBRA & NUMBER THEORY Copositive Matrices and Completely Positive Matrices C(O)P Matrices

by Naomi Shaked-Monderer (The Max Stern Yezreel Valley College, Israel), Abraham Berman (Technion — Israel Institute of Technology, Israel) This is a comprehensive book on copositive matrices and completely positive matrices. It contains new sections on the cone of copositive matrices, which is the dual of the cone of completely positive matrices, and new results on both copositive matrices and completely positive matrices. It is an up to date comprehensive resource for researchers in Matrix Theory and Optimization. It can also serve as a textbook for an advanced undergraduate or graduate course.

Readership: Advanced undergraduate, graduate and researchers in matrix theory and optimization.

400pp 978-981-120-434-0

May 2020 US$138

£120

Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes

Derived Functors and Sheaf Cohomology

by Ugo Bruzzo (International School for Advanced Studies, Trieste, Italy), Beatriz Graña Otero (Universidad de Salamanca, Spain) The aim of the book is to present a precise and comprehensive introduction to the basic theory of derived functors, with an emphasis on sheaf cohomology and spectral sequences. It keeps the treatment as simple as possible, aiming at the same time to provide a number of examples, mainly from sheaf theory, and also from algebra.

Readership: Graduate students and researchers interested in derived functors and sheaf cohomology.

200pp 978-981-120-728-0

Apr 2020 US$88

£75

Linear Algebra and Optimization with Applications to Machine Learning Volume I: Linear Algebra for Computer Vision, Robotics, and Machine Learning

by Jean Gallier & Jocelyn Quaintance (University of Pennsylvania, USA)

4

This book provides the mathematical fundamentals of linear algebra to practicers in computer vision, machine learning, robotics, applied mathematics, and electrical engineering. By only assuming a knowledge of calculus, the authors develop, in a rigorous yet down to earth manner, the mathematical theory behind concepts such as: vectors spaces, bases, linear maps, duality, Hermitian spaces, the spectral theorems, SVD, and the primary decomposition theorem. At all times, pertinent real-world applications are provided.

Readership: Undergraduate and graduate students interested in mathematical fundamentals of linear algebra in computer vision, machine learning, robotics, applied mathematics, and electrical engineering.

550pp 978-981-120-639-9 978-981-120-771-6(pbk)

Mar 2020 US$158 US$78

£140 £70

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Weight Representations

by Dimitar Grantcharov (University of Texas at Arlington, USA), Vera Serganova (University of California, Berkeley, USA) Weight representations are representations that include many important examples studied by both mathematicians and physicists. Using a combination of algebraic, geometric, and combinatorial methods, description of various classes (simple and indecomposable) of representations is provided in the book.

Readership: Advanced graduate students and junior researchers in the field of representation theory of Lie algebras.

200pp 978-981-120-434-0

Feb 2020 US$98

£85

Mathematics of Harmony as a New Interdisciplinary Direction of Modern Science Volume 1: The Golden Section, Fibonacci Numbers, Pascal Triangle, and Platonic Solids

by Alexey Stakhov (International Club of the Golden Section, Canada & Academy of Trinitarism, Russia), Samuil Aranson (Russian Academy of Natural History, Russia) This 3-volume book aims to promote more deep understanding of ancient conception of the “Universe Harmony “. Volume I is in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the “Mathematics of Harmony, “ a new interdisciplinary direction of modern science. This direction has its origins in Euclid’s Elements and has many unexpected applications in contemporary mathematics (e.g. a new approach to a history of mathematics), theoretical physics (e.g. new hyperbolic models of Nature) and computer science (e.g. algorithmic measurement theory).

Readership: Students and scientists interested in history of mathematics, Fibonacci numbers, golden section and their generalization.

200pp 978-981-120-710-5

Nov 2019 US$78

£70

Clifford Algebras and Zeons Geometry to Combinatorics and Beyond

by George Stacey Staples (Southern Illinois University Edwardsville, USA) Clifford algebras have many well-known applications in physics, engineering, and computer graphics. Zeon algebras are subalgebras of Clifford algebras whose combinatorial properties lend them to graphtheoretic applications such as enumerating minimal cost paths in dynamic networks. This book provides a foundational working knowledge of zeon algebras, their properties, and their potential applications in an increasingly technological world. Readers will need this as the first textbook to explore algebraic and combinatorial properties of zeon algebras in depth. The material is complemented by the CliffMath software package for Mathematica, which is freely available through the book’s webpage.

Readership: Advanced undergraduate students, graduate students and researchers.

350pp 978-981-120-257-5

Oct 2019 US$98

£85

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Higher Dimensional Categories From Double to Multiple Categories

by Marco Grandis (Universitàdi Genova, Italy) The study of higher dimensional categories has mostly been developed in the globular form of 2-categories, n-categories, omega-categories and their weak versions. Here we study a different form: double categories, n-tuple categories and multiple categories, with their weak and lax versions.

We want to show the advantages of this form for the theory of adjunctions and limits. Furthermore, this form is much simpler in higher dimension, starting with dimension three where weak 3-categories are already quite complicated, much more than weak or lax triple categories. Notions are presented in a ‘concrete’ way, with examples and exercises; endowed with a solution or hints. Part I, devoted to double categories, starts at basic category theory. Part II on multiple categories can be used independently by a reader acquainted with 2-dimensional categories.

Readership: Graduate and postgraduate students, researchers.

530pp 978-981-120-510-1

Aug 2019 US$148

£130

Linear Algebra and its Applications

by Tzuong-Tsieng Moh (Purdue University, USA) This is a book for students to better understand linear algebra. Writing from an experienced standpoint, the author touches on the many facets surrounding linear algebra, including but not limited to, echelon forms, matrix algebra, linear transformations, determinants, dual space, inner products, the Gram – Schmidt Theorem, Hilbert space, and more.

It is ideal for both newcomers and seasoned readers who want to attain a deeper understanding on both the basics and advanced topics of linear algebra and its vast applications. The wide range of topics combined with the depth of each discussion make it essential to be on the shelf of every mathematical beginner and enthusiast.

Readership: Graduate students and researchers interested in basic and advanced topics of linear algebra.

Sep 2019 US$98

A Bridge to Linear Algebra

by Dragu Atanasiu (University of Borås, Sweden), Piotr Mikusiński (University of Central Florida, USA) While many linear algebra texts neglect geometry, this book includes numerous geometrical applications. For example, the book presents classical analytic geometry using concepts and methods from linear algebra, discusses rotations from a geometric viewpoint, gives a rigorous interpretation of the right-hand rule for the cross product using rotations and applies linear algebra to solve some nontrivial plane geometry problems. Many students find learning introductory linear algebra difficult. This book will come in handy to facilitate the understanding of linear algebra whereby it gives a comprehensive, concrete treatment of linear algebra in R² and R³. This method has been shown to improve, sometimes dramatically, a student’s view of the subject.

Readership: Undergraduate students taking a first course in linear algebra 508pp 978-981-120-022-9 978-981-120-146-2(pbk)

Series on University Mathematics - Vol 10

316pp 978-981-3235-42-7

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Jun 2019 US$148 US$78

£130 £70

A Walk Through Weak Hyperstructures Hv-Structures

by Bijan Davvaz (Yazd University, Iran), Thomas Vougiouklis (Democritus University of Thrace, Greece) This book is devoted to the study of weak hyperstructures with natural examples. It begins with some basic results, which represent the most general algebraic context, in which reality can be modelled. There are also applications in natural science (Biology, Chemistry and Physics). The authors of the book are experts and well known on this theory. The overall strength of the book is in its presentation and introduction to some of the results, methods and ideas about weak hyperstructures.

Readership: Graduate students and researchers in hyperstructures..

£86

348pp 978-981-3278-86-8

Jan 2019 US$128

£115

Matrix Calculus, Kronecker Product and Tensor Product (3rd Edition)

Series on Number Theory and Its Applications - Vol 15

A Practical Approach to Linear Algebra, Multilinear Algebra and Tensor Calculus with Software Implementations

Monomial Resolutions of Admissible Representations

by Yorick Hardy (University of the Witwatersrand, South Africa), Willi-Hans Steeb (University of Johannesburg, South Africa) The volume contains many detailed worked-out examples. Each chapter includes exercises and supplementary problems.

Software implementations are provided for different concepts. Besides the standard techniques for linear algebra, multilinear algebra and tensor calculus, many advanced topics are included. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, Hopf algebra, Yang – Baxter relations, computer graphics, fractals, quantum mechanics, quantum computing, entanglement, teleportation and partial trace, which are covered comprehensively.

Readership: Students, engineers, and researchers in mathematical physics, applied mathematics, algebra & number theory, and numerical analysis.

388pp 978-981-120-251-3

Apr 2019 US$98

£85

Derived Langlands

by Victor Snaith (University of Sheffield, UK) The Langlands Programme is one of the most important areas in modern pure mathematics. The book describes an embedding of the Langlands Programme into an entirely newcontext of a new derived category. Therefore, the context used to explain examples is often the more generally accessible case of representations of finite general linear groups. For example, Galois basechange and epsilon factors for locally p-adic Lie groups are illustrated by the analogous Shintani descent and Kondo – Gauss sums, respectively.

The book contains an excellent bibliography of 146 sources detailing the category theory, homological algebra, representation theory and algebraic topology background as well as many survey articles concerning the Langlands Programme Readership: Graduate students and researchers in automorphic forms.

356pp 978-981-3275-74-4

Jan 2019 US$128

£115

5

Mathematics Catalogue 2020

Galois Theory and Applications

Infinite Group Theory

Solved Exercises and Problems

From the Past to the Future

by Mohamed Ayad (Universitédu Littoral, Calais, France)

edited by Paul Baginski (Fairfield University, USA), Benjamin Fine (Fairfield University, USA) & Anthony M Gaglione (United States Naval Academy, USA)

“There is a nice graduation of the level of the problems in the book. Some problems cover classical uses of the theory and will be very instructive to beginners, some are more refined and require a good knowledge of the theory and a bit of thinking, and some are even more sophisticated and sometimes close to Ayad’s research questions. The interested readers will gradually get into the field and the more motivated ones will find some really challenging questions possibly leading to quite advanced research questions. With more than 90 problems, this is a very nice contribution to the topic, for which only a limited list of standard problems was available in the literature ... This rich book will be helpful to many mathematicians.”

Pierre Dèbes Université Lille 1, France Readership: Undergraduate and graduate students in Galois group theory.

452pp 978-981-3238-30-5

Jun 2018 US$118

Theory and Table with Appendix on Stirling Transform

by Khristo N Boyadzhiev (Ohio Northern University, USA) This is a book for students to better understand linear algebra. Writing In this book, we present the theory of the binomial transform for sequences with a sufficient prerequisite of classical numbers and polynomials. The first part provides theorems and tools which help to compute binomial transforms of different sequences and also to generate new binomial identities from the old. These theoretical tools (formulas and theorems) can also be used for summation of series and various numerical computations.

In the second part, we have compiled a list of binomial transform formulas for easy reference. We also present the definition of the Stirling sequence transform and a short table of transformation formulas.

Readership: Graduate students and researchers interested in basic and advanced topics of linear algebra.

May 2018 US$88

£75

A Textbook for Beginners

by Marco Grandis (Universitàdi Genova, Italy) “It’s well written and is peppered with sections titled, ‘exercises and complements’. Clearly the reader needs to take these very seriously. I personally find exercises in category theory and homological algebra very satisfying because of their architecture and their minimalist quality: it’s a lot of fun for it all to come down to dancing all over a commutative diagram or two and to draw a lot of arrows. I like the subject a great deal, and I think this is a good book to learn it from.”

Mathematical Association of America Readership: Graduate students and researchers of mathematics, computer science, physics..

304pp 978-981-3231-06-1

452pp 978-981-3238-30-5

Jun 2018 US$118

£104

Essential Textbooks in Mathematics

by Richard Michael Hill (University College London, UK) This book is dedicated to concrete questions about integers, to place an emphasis on problem solving by students. It begins with introductory material, including uniqueness of factorization of integers and polynomials. Subsequent topics explore quadratic reciprocity, Hensel’s Lemma, p-adic powers series such as exp(px) and log(1+px), the Euclidean property of some quadratic rings, representation of integers as norms from quadratic rings, and Pell’s equation via continued fractions. Throughout the chapters and more than 100 exercises and solutions, readers gain the advantage of a number theory book that focuses on doing calculations.

Readership: Undergraduate students and educators in number theory.

264pp 978-1-78634-471-7 978-1-78634-489-2(pbk)

Jan 2018 US$108 US$58

£95 £51

NOTABLE BACKLIST The Golden Ratio and Fibonacci Numbers Richard A Dunlap (Dalhousie University, Canada) Linear Algebra: Pure & Applied Edgar G Goodaire (Memorial University, Canada)

Category Theory and Applications 6

Readership: Graduate students and researchers in group theory.

Introduction to Number Theory £104

Notes on the Binomial Transform

208pp 978-981-3234-97-0

The development of algebraic geometry over groups, geometric group theory and groupbased cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.

This book is centered on infinite group theory from a combinatorial and geometric point of view. It also contains material on non-commutative algebraic group-based cryptography

Mar 2018 US$98

Analytic Number Theory Paul T Bateman & Harold G Diamond (University of Illinois at UrbanaChampaign)

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£86

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COMBINATORICS

WORLD SCIENTIFIC

COMPUTER MATHEMATICS & SCIENCE

Gröbner – Shirshov Bases

World Scientific Series in Information Studies - Vol 11

Normal Forms, Combinatorial and Decision Problems in Algebra

Information in the World

by Leonid Bokut (Sobolev Institute of Mathematics, Russia), Yuqun Chen (South China Normal University, China), Kyriakos Kalorkoti (Informatics Forum, Scotland) & Pavel Kolesnikov (Sobolev Institute of Mathematics, Russia) The book is about (associative, Lie and other) algebras, groups, semigroups presented by generators and defining relations. One of the main problems for such presentations is the problem of normal forms of their elements. What is now called Gröbner – Shirshov bases theory is a general approach to the problem. Now Gröbner – Shirshov bases method has many applications both for classical algebraic structures (associative, Lie algebra, groups, semigroups) and new structures (dialgebra, pre-Lie algebra, Rota – Baxter algebra, operads). This is a general and powerful method in algebra.

Theoretical Information Studies edited by Mark Burgin (University of California, Los Angeles, USA), Gordana Dodig-Crnkovic (Chalmers University of Technology & Mälardalen University, Sweden) This book delineates the synthetic field of the theoretical study of information, treating information as the basic phenomenon on the fundamental level of the world encompassing nature, technology, individuals and society. The exploration of information is explored within Info-computational approaches, to natural and social phenomena with emphasis on inter-disciplinary, cross-disciplinary and trans-disciplinary knowledge.

Readership: Graduate students and researchers in Information Theory.

300pp 978-981-3277-48-9

May 2020 US$118

£105

Readership: Researchers in algebra and combinatorics.

Computing with Incomplete Information

450pp 978-981-4619-48-6

The Mathematics of Enumeration and Positive Reducibilities

May 2020 US$162

£134

Series on Knots and Everything

This book aims to provide a unique introduction to the mathematics of computing with imperfect information. The aim here is to bring a new coherence and clarity to this complex and expanding body of research, and to give a comprehensive overview. In many real-world contexts, it is necessary to make decisions based on incomplete information. This book deals with the mathematics underlying the practical computations that it entails.

Board Games Throughout the History and Multidimensional Spaces

by Jorma Kyppö (University of Jyväskylä, Finland) This richly illustrated book explores the history of board games dating back to Ancient Egypt, Mesopotamia, India and China. A description of the evolution and various interpretations of chess is provided. Furthermore, it offers the study of the old Celtic and Viking board games and the old Hawaiian board game Konane, and a new hypothesis about the interpretation of the famous Cretan Phaistos Disk. Descriptions of several chess variations, including highlights of the game theory and tiling in different dimensions, are followed by a multidimensional symmetrical n-person strategy game model, based on chess.

Readership: Researchers in combinatorics, complex manifolds and topology, game theory.

250pp 978-981-3233-52-2

Sep 2019 US$98

£86

by Kean Pew Foo, Mingyan, Simon Lin (University of Illinois at Urbana-Champaign, USA) This is the solutions manual of the bestselling textbook, “Principles and Techniques in Combinatorics. The solutions to each problem are written from a first principles approach, which would further augment the understanding of the important and recurring concepts in each chapter. Moreover, the solutions are written in a relatively self-contained manner, with very little knowledge of undergraduate mathematics assumed.

Readership: Secondary school and college students, undergraduates, teachers and professors in combinatorics.

Oct 2018 US$45

Readership: Students and experts in the mathematics of computing.

450pp 978-981-4383-14-1

Mar 2020 US$148

£130

World Scientific Series in Information Studies - Vol 10

Philosophy and Methodology of Information The Study of Information in the Transdisciplinary Perspective edited by Gordana Dodig-Crnkovic (Chalmers University of Technology, Sweden & Mälardalen University, Sweden), Mark Burgin (University of California, Los Angeles, USA) The book gives up-to-date, multi-aspect exposition of the philosophy and methodology of information, and related areas within the nascent field of the study of information. It presents the most recent achievements, ideas and opinions of leading researchers in this domain, as well as from physicists, biologists and social scientists.

Collaboration of researchers from different areas and fields opens new perspectives for the understanding of information essential in the innovative development of science, technology and society.

Principles and Techniques in Combinatorics (Solutions Manual)

440pp 978-981-3238-84-8(pbk)

by S Barry Cooper (University of Leeds, UK), Andrea Sorbi (University of Siena, Italy) & Mariya Soskova (Sofia University, Bulgaria)

£40

NOTABLE BACKLIST A Walk Through Combinatorics (4th Edition) Miklós Bóna (University of Florida, USA)

Readership: Graduate students and researchers in Information Theory.

576pp 978-981-3277-51-9

May 2019 US$158

£140

NOTABLE BACKLIST Examples in Markov Decision Processes A B Piunovskiy (The University of Liverpool, UK)

7

Mathematics Catalogue 2020

DIFFERENTIAL & INTEGRAL EQUATIONS An Introduction to Differential Equations with Applications

Interdisciplinary Mathematical Sciences - Vol 20

by Harold Cohen (California State University, Los Angeles, USA), Daniel Gallup (Pasadena Community College, USA) The book contains methods of approximation to solutions of various types of differential equations with practical applications, which will serve as a guide to programming so that such differential equations can be solved numerically with the use of a computer. The material is organized so that the presentations begin at a reasonably introductory level. Subsequent material is developed from this beginning. Readers with little experience can start at a lower level, while those with some experience can use the beginning material as a review, or skip this part to proceed to the next level.

Readership: Undergraduate students interested in the practical applications of differential equations.

900pp 978-981-3276-65-9

Jan 2020 US$198

£175

Difference Equations for Scientists and Engineering Interdisciplinary Difference Equations

by Michael A Radin (Rochester Institute of Technology, USA) We introduce interdisciplinary research and get students and the audience familiarized with the difference equations; solving them explicitly, determining the long-term behavior of solutions (convergence, boundedness and periodicity). We help to develop intuition in analyzing convergence of solutions in terms of subsequences and analyzing patterns of periodic cycles. Our book helps you learn applications in biology, economics and business, computer science and engineering.

Readership: Students and researchers in mathematics, physics, science and engineering.

300pp 978-981-120-385-5 978-981-120-296-4(pbk)

Sep 2019 US$98 US$58

£85 £50

Partial Differential Equations (2nd Edition)

edited by Xiaopeng Chen (Shantou University, China), Yan Lv (Nanjing University of Science and Technology, China) & Wei Wang (Nanjing University, China) This volume is devoted to original research results and survey articles reviewing recent developments in reduction for stochastic PDEs with multiscale as well as application to science and technology, and to present some future research direction. This volume includes a dozen chapters by leading experts in the area, with a broad audience in mind. It should be accessible to graduate students, junior researchers and other professionals who are interested in the subject.

Readership: Students and researchers.

240pp 978-981-120-034-2

by Harumi Hattori (West Virginia University, USA)

May 2019 US$98

£85

Series in Contemporary Applied Mathematics - Vol 22

Control and Inverse Problems for Partial Differential Equations

edited by Gang Bao (Zhejiang University, China), Jean-Michel Coron (UniversitéPierre et Marie Curie, France) & Tatsien Li (Fudan University, China)

This book is a collection of lecture notes on Control and Inverse Problems for Partial Differential Equations. Topics include theoretical and numerical aspects of control of PDEs, complex geometrical optics and Calderón’s problem, and a mini-course on stochastic control. The book provides the readers with a unique and valuable opportunity to learn from and communicate with leading experts in control and inverse problems.

And the readers are exposed not only to the basic theories and methods but also to the forefront of research directions in both fields.

Readership: Undergraduate and graduate students and researchers in PDEs. 264pp 978-981-3276-14-7

Methods, Applications and Theories

8

Stochastic PDEs and Modelling of Multiscale Complex System

Jun 2019 US$108

£95

Series in Contemporary Applied Mathematics - Vol 21

This is an introductory level textbook for partial differential equations (PDEs). It is applicationoriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of PDEs. Chapter 1 – 5 include the first-order equations and the three fundamental second-order equations. Through these equations, we learn the types of problems, how we pose the problems, and the methods of solutions.

The modeling aspects are explained as well. The methods introduced in earlier chapters are developed further in Chapters 6 – 12. They include the Fourier series, the Fourier and the Laplace transforms, and the Green’s functions. Equations in higher dimensions are also discussed in detail. In this edition, a new chapter is added and numerous improvements have been made. Extensions of nonlinear equations treated in earlier chapters are also discussed.

One-Dimensional Hyperbolic Conservation Laws and Their Applications

Readership: Undergraduate students in mathematics, science, and engineering.

Readership: Undergraduate and graduate students and researchers in one-dimensional hyperbolic conservation laws.

428pp 978-981-120-223-0

396pp 978-981-3276-17-8

Jul 2019 US$98

£85

edited by Jean-Michel Coron (Université Pierre et Marie Curie, France), Tatsien Li (Fudan University, China) & Yachun Li (Shanghai Jiao Tong University, China) This book is a collection of lecture notes on onedimensional Hyperbolic Conservation Laws and Their Applications. Topics include exact boundary controllability for onedimensional quasilinear hyperbolic systems, BV solutions to hyperbolic conservation laws, and an introduction to controllability problems for entropy solutions and numerical methods of one-dimensional systems of conservation laws.

Mar 2019 US$138

£120

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A Course in Analysis

Series on Analysis, Applications and Computation - Vol 9

Vol. IV: Fourier Analysis, Ordinary Differential Equations, Calculus of Variations

Nonlinear Waves A Geometrical Approach

by Niels Jacob & Kristian P Evans (Swansea University, UK)

by Petar Popivanov & Angela Slavova (Bulgarian Academy of Sciences, Bulgaria) This volume provides an in-depth treatment of several equations and systems, describing the propagation and interaction of nonlinear waves as different modifications of the KdV equation, Fornberg – Whitham equation, Vakhnenko equation, Camassa – Holm equation, several versions of the NLS equation, Kaup – Kupershmidt equation, Boussinesq paradigm, and Manakov system, as well as symmetrizable quasilinear hyperbolic systems. It contains a competent introduction to different methods for solving and studying the properties of several evolution PDEs: method of characteristics and first integrals, method of the simplest equation, dressing method, Hirota’s direct method and paradifferential method. All the solutions, their interaction and new born waves are geometrically illustrated and interpreted by 45 figures.

Readership: University and graduate students; researchers interested in evolution PDEs and their applications.

208pp 978-981-3271-60-9

Jan 2019 US$88

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ÂŁ75

This book is part of a coherent treatment of the entire core in mathematical analysis for undergraduate and graduate students. It is a unique source for learning as well as a reference text for later studies. The book contains a comprehensive and modern treatment of two indispensible theories for every mathematician: Fourier Analysis. Ordinary Differential equations, Calculus of Variations. There are more than 250 problems solved in full detail.

Readership: Undergraduate students in mathematics, studying fourier analysis, ODEs, calculus of variations.

768pp 978-981-3273-51-1 978-981-3274-52-5(pbk)

Sep 2018 US$188 US$78

ÂŁ165 ÂŁ70

Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions

by Lei Yang (Peking University, China)

An Operator Theory Problem Book

by Mohammed Hichem Mortad (University of Oran 1, Algeria) The book is divided into two parts. The first part contains essential background on all of the covered topics with the sections: True or False Questions, Exercises, Tests and More Exercises.

In the second part, readers may find answers and detailed solutions to the True or False Questions, Exercises and Tests. Another virtue of the book is the variety of the topics and the exercises and the way they are tackled.

In many cases, the approaches are different from what is known in the literature. Also, some very recent results from research papers are included.

Readership: Undergraduate students, lecturers and tutors in operator theory and functional analysis.

656pp 978-981-3236-25-7

Dec 2018 US$128

ÂŁ115

Trends in Abstract and Applied Analysis - Vol 8

Ordinary Differential Equations and Boundary Value Problems Volume II: Boundary Value Problems

by John R Graef (University of Tennessee at Chattanooga, USA), Johnny Henderson (Baylor University, USA), Lingju Kong (University of Tennessee at Chattanooga, USA) & Xueyan Sherry Liu (St Jude Children’s Research Hospital, USA & University of New Orleans, USA) Starting with the basics of boundary value problems for ordinary differential equations, linear equations and the construction of Green’s functions are presented clearly. The existence of solutions to both linear and nonlinear problems is discussed and this includes solution matching and the comparison of eigenvalues. The important and very active research area on existence and multiplicity of positive solutions is treated in detail. The last chapter is devoted to nodal solutions for BVPs with separated boundary conditions as well as for non-local problems.

Readership: Undergraduate and graduate students, researchers interested in ordinary differential equations.

344pp 978-981-3274-02-0

Nov 2018 US$98

ÂŁ85

In this book, we show that the following four apparently disjoint theories: the symmetries of the Hessian polyhedra (geometry), the resolution of some system of algebraic equations (algebra), the system of partial differential equations of Appell hypergeometric functions (analysis) and the modular equation of Picard modular functions (arithmetic) are in fact dominated by the structure of a single object, the Hessian group �′216. It provides another beautiful example on the fundamental unity of mathematics.

Readership: Academics and researchers.

316pp 978-981-3209-47-3

May 2018 US$148

ÂŁ123

Trends in Abstract and Applied Analysis - Vol 7

Ordinary Differential Equations and Boundary Value Problems Volume I: Advanced Ordinary Differential Equations

by John R Graef (University of Tennessee at Chattanooga, USA), Johnny Henderson (Baylor University, USA), Lingju Kong (University of Tennessee at Chattanooga, USA) & Xueyan Sherry Liu (St. Jude Children’s Research Hospital, USA) The reader will find this book to be a captivating introduction with a number of non-routine exercises dispersed throughout the book. Topics include Systems of Differential Equations; Continuation of Solutions and Maximal Intervals of Existence; Smooth Dependence on Initial Conditions and Smooth Dependence on a Parameter; Some Comparison Theorems and Differential Inequalities; Linear Systems of Differential Equations; Periodic Linear Systems and Floquet Theory; Stability Theory; Perturbed Systems and More on Existence of Periodic Solutions.

Readership: Graduate students and researchers interested in ODEs. 176pp 978-981-3236-45-5

Apr 2018 US$88

ÂŁ77

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Mathematics Catalogue 2020

Beyond the Triangle

An Introduction to Second Order Partial Differential Equations

Brownian Motion, Ito Calculus, and Fokker – Planck Equation — Fractional Generalizations

Classical and Variational Solutions

by Sabir Umarov (University of New Haven, USA), Marjorie Hahn (Tufts University, USA) & Kei Kobayashi (Fordham University, USA) The book is devoted to the fundamental relationship between three objects: a stochastic process, stochastic differential equations driven by that process and their associated Fokker – Planck – Kolmogorov equations. This book discusses wide fractional generalizations of this fundamental triple relationship, where the driving process represents a time-changed stochastic process; the Fokker – Planck – Kolmogorov equation involves time-fractional order derivatives and spatial pseudo-differential operators; and the associated stochastic differential equation describes the stochastic behavior of the solution process. It contains recent results in this direction.

Readership: Graduate students and researchers in science, engineering, economics.

192pp 978-981-3230-91-0

Apr 2018 US$98

£86

Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes - Vol 1

This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on lectures by well-known contributors. The editors strived for a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.

Readership: Graduate students and researchers interested in orthogonal polynomials and q-series. £157

Peking University Series in Mathematics - Vol 7

Selected Papers of Weiyue Ding

edited by You-De Wang (Chinese Academy of Sciences, China) This collection covers all papers and partial talks given by Prof Weiyue Ding, who was a member of the Chinese Academy of Sciences.

Prof Weiyue Ding devoted his academic career to the research in the field of ordinary differential equations and geometric analysis, e.g. Poincaré – Birkhoff fixed point theorems, blow-up analysis for heat flow of harmonic maps.

Readership: Researchers in partial differential equations and differential geometry.

632pp 978-981-3220-87-4

Feb 2018 US$158

Readership: Graduate and post-graduate students, researchers interested in PDEs 300pp 978-981-3229-17-4

Jan 2018 US$78

£69

by Arak M Mathai (McGill University, Canada), Hans J Haubold (UN Office for Outer Space Affairs, Vienna International Centre, Austria)

edited by M Zuhair Nashed & Xin Li (University of Central Florida, USA)

Feb 2018 US$178

The book extensively introduces classical and variational partial differential equations (PDEs).

The topics, even the most delicate, are presented in a detailed way. Part I gives an overview of classical PDEs, that is, equations which admit strong solutions, verifying the equations pointwise.

Classical solutions of the Laplace, heat, and wave equations are provided.

Part II deals with variational PDEs, where weak (variational) solutions are considered. They are defined by variational formulations of the equations, based on Sobolev spaces. A comprehensive and detailed presentation of these spaces is given. Examples of variational elliptic, parabolic, and hyperbolic problems with different boundary conditions are discussed.

Matrix Methods and Fractional Calculus

Frontiers in Orthogonal Polynomials and q-Series

576pp 978-981-3228-87-0

by Doina Cioranescu (Université Pierre et Marie Curie (Paris 6), France), Patrizia Donato (Université de Rouen, France) & Marian P Roque (University of the Philippines Diliman, Philippines)

£139

Fractional calculus in terms of mathematics and statistics and its applications to problems in natural sciences is becoming more important.

This book provides an approach to include topics of fractional calculus into university curricula.

Additionally the material is useful for people who do research work in the areas of special functions, fractional calculus, applications of fractional calculus, and mathematical statistics.

Readership: Graduate students and researchers in fractional calculus and its applications.

292pp 978-981-3227-52-1

Jan 2018 US$98

£86

NOTABLE BACKLIST Second Order Parabolic Differential Equations G M Lieberman (Iowa State University) Special Functions Z X Wang & D R Guo (Peking University) Lectures, Problems and Solutions for Ordinary Differential Equations (2nd Edition) Yuefan Deng (Stony Brook University, USA)

For more information, visit: www.worldscientific.com

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DYNAMICAL SYSTEMS & ERGODIC THEORY Chaos in Nature (2nd Edition)

Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications - Vol 4

This book is devoted to the history of chaos theory, from celestial mechanics (three-body problem) to electronics and meteorology. Many illustrative examples of chaotic behaviors exist in various contexts found in nature (chemistry, astrophysics, biomedicine). This book includes the most popular systems from chaos theory (Lorenz, Rö ssler, van der Pol, Duffing, logistic map, Lozi map, Hé non map etc.) and introduces many other systems, some of them very rarely discussed in textbooks as well as in scientific papers. The contents are formulated with an original approach as compared to other books on chaos theory.

Quantized Number Theory, Fractal Strings and the Riemann Hypothesis

by Christophe Letellier (CORIA, Normandy University, France)

Readership: Advanced undergraduates and graduate students in nonlinear dynamics, and non-experts interested in chaos theory.

436pp 978-981-120-119-6

Jun 2019 US$148

£130

An Introduction to Mathematical Billiards

by Utkir A Rozikov (V I Romanovskiy Institute of Mathematics, Tashkent, Uzbekistan) This book comprehensively presents known results on the behavior of a trajectory of a billiard ball on a planar table. It provides a systematic review of the theory of dynamical systems, with a concise presentation of billiards in elementary mathematics and simple billiards related to geometry and physics. The description of these trajectories leads to the solution of various questions in mathematics and mechanics: problems related to liquid transfusion, lighting of mirror rooms, crushing of stones in a kidney, collisions of gas particles, etc. The analysis of billiard trajectories can involve methods of geometry, dynamical systems, and ergodic theory, as well as methods of theoretical physics and mechanics, which has applications in the fields of biology, mathematics, medicine, and physics.

Readership: Graduate students and researchers interested in mathematical billiards and dynamical systems.

224pp 978-981-3276-46-8

Jan 2019 US$118

£105

Frequency-Domain Approach to Hopf Bifurcation Analysis Continuous Time-Delayed Systems

by Franco Sebastián Gentile, Jorge Luis Moiola (Universidad Nacional del Sur, Argentina) & Guanrong Chen (City University of Hong Kong, China) This book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuoustime nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diagrams for such nonlinear systems under simultaneous variations of several system parameters is presented. Some higher-order harmonic balance approximation formulas are derived for analyzing the oscillatory dynamics in small neighborhoods of certain types of Hopf and degenerate Hopf bifurcations.

Readership: Graduate students and researchers interested in nonlinear dynamics, control systems and applied mathematics for engineering systems.

350pp 978-981-120-546-0

Nov 2019 US$118

£105

From Spectral Operators to Phase Transitions and Universality

by Hafedh Herichi (Santa Monica College, USA), Michel L Lapidus (University of California, Riverside, USA) Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This book contributes to the literature on the subject in several different and new ways. In particular, the authors provide a rigorous and detailed study of the spectral operator, a map that sends the geometry of fractal strings onto their spectrum. To that effect, they use and develop methods from fractal geometry, functional analysis, complex analysis, operator theory, partial differential equations, analytic number theory and mathematical physics.

Readership: Researchers in the areas mentioned above.

400pp 978-981-3230-79-8

May 2020 US$128

£113

Continuous and Discontinuous Piecewise-Smooth OneDimensional Maps Invariant Sets and Bifurcation Structures

by Viktor Avrutin (University of Stuttgart, Germany), Laura Gardini (University of Urbino, Italy), Iryna Sushko (National Academy of Sciences of Ukraine, Ukraine & Kyiv School of Economics, Ukraine) & Fabio Tramontana (Catholic University of Milan, Italy) The investigation of dynamics of piecewise-smooth maps is both intriguing from the mathematical point of view and important for applications in various fields, ranging from mechanical and electrical engineering up to financial markets. In this book, we review the attracting and repelling invariant sets of continuous and discontinuous one-dimensional piecewise-smooth maps.

In addition, we present the map replacement technique which provides a powerful tool for the description of bifurcation structures in piecewiselinear and other form of invariant maps to a much further extent than the other approaches.

Readership: Researchers and graduate students working in the field of piecewise-smooth systems.

648pp 978-981-4368-82-7

Jul 2019 US$198

£175

NOTABLE BACKLIST The KAM Story: A Friendly Introduction to the Content, History, and Significance of Classical Kolmogorov–Arnold–Moser Theory H Scott Dumas (University of Cincinnati, USA) Elegant Chaos: Algebraically Simple Chaotic Flows Julien Clinton Sprott (University of Wisconsin-Madison, USA) The Nonlinear Workbook (6th Edition) Willi-Hans Steeb (University of Johannesburg, South Africa)

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Mathematics Catalogue 2020

GEOMETRY & TOPOLOGY Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications

Exploring Scale Symmetry

by Thomas Lowe (Commonwealth Scientific and Industrial Research Organisation (CSIRO), Australia) This book presents work in exploring the rich field of scale-symmetric and fractal geometry.

It ties together the many examples of new and beautiful geometric structures with novel classification systems in order to clarify and map out this relatively uncharted space. The chapters demonstrate the power of the hobbyist and online community-based exploration in discovering these mathematical worlds, and the power of play and mathematical beauty in driving new innovations. This is a very visual book, with many images to help the reader to understand the underlying structures. Every example is new and developed by the author, and is chosen because it pushes the field of scale-symmetric geometry into a scarcely explored region.

Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 37

Mathematics of Shapes and Applications

edited by Sergey Kushnarev (Singapore University of Technology and Design, Singapore), Anqi Qiu (National University of Singapore, Singapore) & Laurent Younes (Johns Hopkins University, USA) The volume illustrates this wealth of subjects by providing new contributions on the metric structure of diffeomorphism groups and shape spaces, recent developments on deterministic and stochastic models of shape evolution, new computational methods manipulating shapes, and new statistical tools to analyze shape datasets. In addition to these contributions, applications of shape analysis to medical imaging and computational anatomy are discussed, leading, in particular, to improved understanding of the impact of cognitive diseases on the geometry of the brain.

Readership: Interested readers and students with a mathematical background.

Readership: Graduate students, applied mathematicians, statisticians, computer scientists and biomedical engineers.

200pp 978-981-3278-54-7

170pp 978-981-120-012-0

Nov 2020 US$88

£75

Jan 2020 US$68

£60

Lectures on Convex Sets (2nd Edition)

Differential Geometrical Foundations of Information Geometry

The book provides a self-contained and systematic treatment of algebraic and topological properties of convex sets in the n-dimensional Euclidean space. The second edition essentially extends and revises the original book. Every chapter is rewritten, with many new theorems, examples, problems, and bibliographical references included. It contains three new chapters and 100 additional problems with solutions.

Geometry of Statistical Manifolds and Divergences

by Valeriu Soltan (George Mason University, USA)

Readership: Undergraduate and graduate students in mathematics, optimization and operations research.

604pp 978-981-120-211-7 978-981-120-351-0(pbk)

May 2020 US$148 US$78

£130 £70

High Dimensional Knotting An Illustrated Guide

by Dennis Roseman (University of Iowa, USA) Focused on concrete examples and constructions and using extensive computer generated three-dimensional graphics, this book serves as a guide to methods and examples of higher dimensional knotting. It has modest mathematical requirements, has been written with non-specialists in mind and contains considerable background information. Knotting whether fanciful or practical has been of interest to many — from sculptors to sailors and in more modern times of interest to mathematicians, biologists and physicists as well. Spaces of dimensions greater than three are also of widespread interest in the arts, sciences and engineering as well as mathematics.

Readership: Graduate students and researchers in geometric topology, manifolds and cell complexes, scientists and engineers who want a concrete introduction to high dimensional construction and visualization.

Feb 2020 US$178

This monograph gives foundations of information geometry from the viewpoint of differential geometry. In information geometry, a statistical manifold structure is important, which is related to geometry of a pair of dual affine connections and an asymmetric distance called divergence.

First, we summarize geometry of statistical manifolds. As applications, we explain statistical inferences and information criterions from the viewpoint of differential geometry.

Readership: Graduate students, researchers and professionals in Geometry.

350pp 978-981-4618-76-2

Series on Knots and Everything

500pp 978-981-3237-39-1

by Hiroshi Matsuzoe (Nagoya Institute of Technology, Japan)

£157

Feb 2020 US$130

£108

A Guide to Lie Systems with Compatible Geometric Structures

by Javier de Lucas (University of Warsaw, Poland), Cristina Sardon Munoz (Instituto de Ciencias Matemáticas, Spain)

The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known applications in the theory of Lie systems. The book also includes a brief exploration of the applications of Lie systems to superequations, discrete systems, and partial differential equations. Offering a complete overview from the topic’s foundations to the present, this book is an ideal resource for physics and mathematics students, doctoral students and researchers.

Readership: Physics and Mathematics advanced undergraduate students, doctoral students, and researchers.

322pp 978-1-78634-697-1

Oct 2019 US$128

£115

For more information, visit: www.worldscientific.com

Arc Schemes and Singularities

edited by Johannes Nicaise (Imperial College London, UK), David Bourqui & Julien Sebag (Universitéde Rennes 1, France) This book introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces. The main challenges are to understand the global and local structure of arc schemes, and how they relate to the nature of the singularities on the variety.

Since the arc scheme is an infinite dimensional object, new tools need to be developed to give a precise meaning to the notion of a singular point of the arc scheme. Written by leading international experts, it offers a broad overview of different applications of arc schemes in algebraic geometry, singularity theory and representation theory.

Readership: Graduate students interested in algebraic geometry, arc schemes and Nash problem for surfaces.

300pp 978-1-78634-719-0

Aug 2019 US$108

£95

Morse Theory of Gradient Flows, Concavity and Complexity on Manifolds with Boundary

by Gabriel Katz (Massachusetts Institute of Technology, USA)

Putting constraints on the nature of the interaction between nonsingular gradient-like fields and the boundary of a smooth compact manifold have profound implications for the topology of the manifold, and this book describes these implications. Along the way, this study extends into the spaces of flow trajectories, their complexity and intricate combinatorics.

New invariants of gradient flows, as well as invariants of the underlying manifold are produced, based on the understanding of these structures (on the space of trajectories and on the flow-generated spines). The process leading to a discovery is equally if not more important than the discover itself and in this book, classical singularity theory guides our investigations, and algebraic topology provides the tools.

Readership: Graduate students and researchers specialized in geometric topology, singularity theory and dynamical systems.

600pp 978-981-4368-75-9

Sep 2019 US$174

£144

Geometry of Biharmonic Mappings Differential Geometry of Variational Methods

by Hajime Urakawa (Tohoku University, Japan) The author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Fundamental materials on the theory of harmonic maps and biharmonic maps, as well as the rigidity and abundance of biharmonic maps are presented. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry.

Readership: Researchers in global analysis, geometry, calculus of variations and partial differential equations.

348pp 978-981-3236-39-4

by Victor Guillemin & Peter Haine (Massachusetts Institute of Technology, USA) This authoritative textbook is entirely devoted to the subject of differential forms and explores a lot of its important ramifications. In particular, our book provides a detailed and lucid account of a fundamental result in the theory of differential forms which is, as a rule, not touched upon in undergraduate texts: the isomorphism between the Čech cohomology groups of a differential manifold and its de Rham cohomology groups.

It includes numerous Examples and Exercises for further in-depth understanding on the presented concepts.

Readership: First-year graduate and advanced undergraduate students in math programs.

Mar 2019 US$88

£75

Jan 2019 US$118

£105

An Introduction to the Geometrical Analysis of Vector Fields with Applications to Maximum Principles and Lie Groups

by Stefano Biagi (Università Politecnica delle Marche, Italy), Andrea Bonfiglioli (Università di Bologna, Italy) This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following meaningful settings: ODE theory; Maximum Principles (weak, strong and propagation principles); Lie groups (with an emphasis on the construction of Lie groups). The book contains many figures and 182 exercises.

Readership: Graduate students and researchers in geometrical analysis.

452pp 978-981-3276-61-1

Differential Forms

272pp 978-981-3272-77-4

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Jan 2019 US$148

£130

Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications - Vol 3

Fractalize That!

A Visual Essay on Statistical Geometry

by John Shier This book brings a new class of geometric fractals to a wider audience of mathematicians and scientists. It describes a recently discovered random fractal space-filling algorithm.

Connections with tessellations and known fractals such as Sierpinski are developed. And, the mathematical development is illustrated by a large number of colorful images that will charm the readers. This book presents a descriptive development of the subject using the traditional shapes of geometry such as discs, squares, and triangles. It contains a detailed mathematical treatment of the algorithm, as well as a chapter on software implementation of the algorithm.

Readership: Students, mathematicians, physicists, professionals, and general public interested in fractal art.

For more information, visit: www.worldscientific.com

124pp 978-981-3275-16-4

Jan 2019 US$78

£70

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Mathematics Catalogue 2020 Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications - Vol 2

Elegant Fractals Automated Generation of Computer Art

by Julien Clinton Sprott (University of Wisconsin-Madison, USA) This colorful book describes methods for producing an endless variety of fractal art using a computer program that searches through millions of equations looking for those few that can produce images having aesthetic appeal.

Over a hundred examples of such images are included with a link to the software that produced these images, and can also produce many more similar fractals. The underlying mathematics of the process is also explained in detail.

Series on Knots and Everything - Vol 62

The Mereon Matrix Everything Connected through (K)nothing edited by Jytte Brender McNair (Aalborg University, Denmark), Lynnclaire Dennis (The Mereon Legacy CIC, UK) & Louis H Kauffman (University of Illinois at Chicago, USA) In this richly illustrated book, the contributors describe the Mereon Matrix, its dynamic geometry and topology. Through the definition of eleven First Principles, it offers a new perspective on dynamic, whole and sustainable systems that may serve as a template information model. This template has been applied to a set of knowledge domains for verification purposes: pre-life-evolution, human molecular genetics and biological evolution, as well as one social application on classroom management.

Readership: Student, professional and general public.

Readership: Researchers in knot theory, geometry and systems theory.

268pp 978-981-3237-13-1

904pp 978-981-3233-55-3

Nov 2018 US$118

£105

Nankai Tracts in Mathematics - Vol 16

by Lin Weng (Kyushu University, Japan)

by Yuanlong Xin (Fudan University, China) “This is an important book and is suitable for students who are familiar with the fundamentals of Riemannian geometry, as well as for specialists.”

Zentralblatt MATH This important book presents the Douglas – Rado solution to Plateau’s problem, but the main emphasis is on Bernstein’s problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons’ work for minimal graphic hypersurfaces, and contributions to Bernstein type theorems for higher codimension. This new edition contains recent work on the Lawson – Osserman’s problem for higher codimension, and on Chern’s problem for minimal hypersurfaces in the sphere.

Readership: Researchers and graduate students in differential geometry.

Oct 2018 US$138

£120

The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles

edited by Richard Wentworth (University of Maryland, USA), Graeme Wilkin (National University of Singapore, Singapore) In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ngô Bau Châu’s proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. This book collects lectures on recent topics of importance related to Higgs bundles in an accessible form.

Readership: Graduate students and researchers interested in Higgs bundles and their interactions within different areas of mathematics and physics.

Aug 2018 US$148

This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology theory, and the analytic one, from Langlands’ theory of Eisenstein systems and some techniques used in trace formula, respectively. Apparently different, they are unified via a Lafforgue type relation between Arthur’s analytic truncations and parabolic reductions of Harder – Narasimhan and Atiyah – Bott. Dominated by the stability condition and/or the Lie structures embedded in, these zeta functions have a standard form of the functional equation, admit much more refined symmetric structures, and most surprisingly, satisfy a weak Riemann hypothesis.

Readership: Graduate students and researchers in zeta functions.

Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 36

412pp 978-981-3229-08-2

£174

Zeta Functions of Reductive Groups and Their Zeros

Minimal Submanifolds and Related Topics (2nd Edition)

396pp 978-981-3236-05-9

Jul 2018 US$198

£130

556pp 978-981-3231-52-8

Apr 2018 US$168

£148

NOTABLE BACKLIST Lectures on Differential Geometry S S Chern (UC Berkeley, USA), W H Chen (Beijing University), K S Lam (California State Polytechnic University) An Introduction to Differential Manifolds Dennis Barden & Charles Thomas (University of Cambridge, UK) The Geometry of the Octonions Tevian Dray & Corinne A Manogue (Oregon State University, USA) Differential Geometry of Curves and Surfaces Masaaki Umehara & Kotaro Yamada (Tokyo Institute of Technology, Japan)

eTextbooks Available!

Digital resources made convenient for your students at a lower cost.

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MATHEMATICAL ANALYSIS Metric in Measure Spaces

by J Yeh (University of California, Irvine, USA) Measure and metric are two fundamental concepts in measuring the size of a mathematical object. Yet there has been no systematic investigation of this relation. The book closes this gap. Topics include: Measure and Outer Measure; Construction of Outer Measures; Borel Measures; Hausdorff Measures; Covering Theorems; Differentiation of Measures; Averaging Operators and Differentiation of Integrals; Lebesgue Differentiation Theorem for Integrals; Hardy – Littlewood Maximal Functions; Density of Sets; Approximate Limit and Approximate Continuity; Lipschitz Mappings Readership: Mathematicians and graduate students.

400pp 978-981-3200-39-5 978-981-3200-40-1(pbk)

Feb 2020 US$98 US$58

£81 £48

The Fractional Laplacian

by Wenxiong Chen, Yan Li (Yeshiva University, USA) & Pei Ma (Nanjing Normal University, China)

£113

Series in Contemporary Applied Mathematics - Vol 23

800pp 978-981-3203-17-4 978-981-3203-18-1(pbk)

Sep 2019 US$178 US$88

£148 £73

by Dmitry Beliaev (University of Oxford, UK) This textbook provides an accessible foundation of the theory of conformal maps and their connections with geometry. It offers a unique view of the field, as it is one of the first to discuss general theory of univalent maps at a graduate level, while introducing more complex theories of conformal invariants and extremal lengths. This book is an ideal resource for graduate courses in Complex Analysis or as an analytic prerequisite to study the theory of Schramm – Loewner Evolution.

Readership: Advanced undergraduate or graduate students in mathematics, especially those interested in analysis or theory of Schramm – Loewner Evolution.

230pp 978-1-78634-613-1

Sep 2019 US$88

£75

Series in Real Analysis - Vol 15

Kurzweil – Stieltjes Integral

by Giselle Antunes Monteiro (Czech Academy of Sciences, Czech Republic), Antonín Slavík (Charles University, Czech Republic) & Milan Tvrdý (Czech Academy of Sciences, Czech Republic)

edited by Jean-Michel Coron (Université Pierre et Marie Curie, France), Tatsien Li (Fudan University, China) & Wei-Min Wang (CNRS, France & Université de CergyPontoise, France) The book provides the readers with a unique and valuable opportunity to learn from and communicate with leading experts in nonlinear wave-type equations. The readers will witness the major development with the introduction of modern harmonic analysis and related techniques. Topics include: Dynamics of Nonlinear Wave Equations; Lectures on Nonlinear Wave Equations; Quasi-Periodic Solutions to Nonlinear PDEs; Universal Dynamics for the Logorithmic Schrö dinger Equations.

Readership: Undergraduate, graduate students and researchers in equations of mathematical physics.

Nov 2019 US$88

Readership: Undergraduate and graduate students; researchers in applied mathematics, and engineers.

Theory and Applications

Harmonic Analysis and Wave Equations

208pp 978-981-120-836-2

This second edition includes new and updated 300 examples and more than 500 problems to help readers understand and master the theories presented. In addition, necessary improvements for bringing the contents more up to date with current fundamental and applied developments in Chapters 1 – 10 were made. Now, Chapter 9 covers nonlinear and stochastic problems and Chapter 10, devoted to elements of numerical functional analysis, has been completely revised and broadened.

Advanced Textbooks in Mathematics

Readership: Graduate students and researchers interested in analysis and differential equations.

Nov 2019 US$128

by V S Pugachev & I N Sinitsyn (Russian Academy of Sciences, Russia)

Conformal Maps and Geometry

This is a unique book that provides comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of the fractional Laplacian, it gradually leads the readers to the frontier of the current research in this area. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, and direct blowing up and rescaling arguments and so on. Different from most other books, it emphasizes on illuminating the ideas behind the formal concepts and proofs, so that the readers can quickly grasp the essence.

350pp 978-981-3223-99-8

Lectures on Functional Analysis and Applications (2nd Edition)

£75

The book is primarily devoted to the Kurzweil – Stieltjes integral and its applications in functional analysis, theory of distributions, generalized elementary functions, as well as various kinds of generalized differential equations, including dynamic equations on time scales. It presents results in a thoroughly updated form and, simultaneously, it is written in a widely understandable way.

Readership: Advanced undergraduates, graduate students and researchers in mathematical analysis and differential equations.

400pp 978-981-4641-77-7

Nov 2018 US$148

£130

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Mathematics Catalogue 2020

Weighted Inequalities Involving ρ-quasiconcave Operators

by William Desmond Evans (Cardiff University, UK), Amiran Gogatishvili (Czech Academy of Sciences, Czech Republic) & Bohumír Opic (Charles University, Czech Republic) Some problems in mathematical analysis (e.g., in theory of function spaces, in approximation theory or in interpolation theory) lead to the investigation of weighted inequalities on certain classes of quasiconcave functions on the interval I=(a,b) ∊R. In this book we analyse the class Qρ(I) of ρ-quasiconcave functions in a complete generality in order to establish results needed for a comprehensive study of weighted inequalities on the class Qρ(I). We illustrate our results on weighted inequalities of Hardy type, on weighted inequalities of Hardy type involving supremum, and on reverse forms of these inequalities.

Readership: Graduate students and researchers in mathematical analysis.

156pp 978-981-3239-62-3

Sep 2018 US$98

£85

Integration for Calculus, Analysis, and Differential Equations Techniques, Examples, and Exercises

by Marat V Markin (California State University, Fresno, USA) Keeping the reader constantly focused on the three principal epistemological questions: “What for?”, “Why?”, and “How?”, the book is designated as a supplementary instructional tool and consists of 9 Chapters treating the three kinds of integral: indefinite, definite, and improper. Also covering various aspects of integral calculus from abstract definitions and theorems (with complete proof whenever appropriate) through various integration techniques to applications. The book contains a wealth of examples and thoughtfully selected problems with complete step-by-step solutions, while providing several methods of solving the same problem.

Readership: Undergraduates, advanced undergraduates interested in integration and its applications.

176pp 978-981-3272-03-3 978-981-3275-15-7(pbk)

Sep 2018 US$58 US$38

£50 £35

Mathematical Analysis for Machine Learning and Data Mining

Lipschitz Algebras (2nd Edition)

by Nik Weaver (Washington University in St. Louis, USA)

This is the standard reference on algebras of Lipschitz functions, written by the leading figure in the field. The second edition includes new chapters on nonlinear Banach space geometry, differentiability in metric measure spaces, and quantum metrics. This latest material reflects the importance of spaces of Lipschitz functions in a diverse range of current research directions.

Every functional analyst should have some knowledge of this subject.

Readership: Graduate students and specialists in functional analysis.

472pp 978-981-4740-63-0

Jun 2018 US$148

£130

Abstract Duality Pairs in Analysis

by Charles Swartz (New Mexico State University, USA) The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz – Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach – Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali – Hahn – Saks Theorem from measure theory and the Hahn – Schur Theorem from summability.

Readership: Graduate Students and researchers in functional analysis.

304pp 978-981-3232-76-1

Feb 2018 US$118

£104

NOTABLE BACKLIST Advanced Calculus (Revised Edition) Lynn Harold Loomis & Shlomo Sternberg (Harvard) A Guide to Distribution Theory and Fourier Transforms Robert S Strichartz (Cornell University, USA) Applied Analysis John K Hunter & Bruno Nachtergaele (UC Davis, USA)

by Dan Simovici (University of Massachusetts, Boston, USA)

Real Analysis: Theory of Measure and Integration (3rd Edition) J Yeh (UC Irvine)

This compendium provides a self-contained introduction to mathematical analysis in the field of machine learning and data mining. The mathematical analysis component of the typical mathematical curriculum for computer science students omits these very important ideas and techniques which are indispensable for approaching specialized area of machine learning centered around optimization such as support vector machines, neural networks, various types of regression, feature selection, and clustering.

Functions of Several Real Variables Martin Moskowitz (City University of New York,USA), Fotios Paliogiannis (St. Francis College, USA)

Readership: Researchers, academics, professionals and graduate students in artificial intelligence, and mathematical modeling.

984pp 978-981-3229-68-6

Jul 2018 US$198

£175

What is Calculus? From Simple Algebra to Deep Analysis R Michael Range (State University of New York at Albany, USA)

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MATHEMATICAL BIOLOGY Mathematical Population Genetics and Evolution of Bacterial Cooperation

by Volker Hösel, Christina Kuttler & Johannes Müller (Technical University Munich, Germany)

Social life of bacteria is in the focus of recent research. Bacteria are simple enough to be accessible by science, but still complex enough to show cooperation, division of labor, bet-hedging, cross-talk and synchronized activities, and a rich variety of social traits. A central question of evolutionary theory is the explanation why this social life did develop, and why these systems are evolutionary stable. This book introduces the reader into the theory of evolution, covering classical models and as well as recent developments. The theory developed is used to represent the up-to-date understanding of social bacteria.

Readership: Graduate students, lecturers and researchers interested in mathematical evolutionary theory.

550pp 978-981-120-549-1

Mar 2020 US$158

£140

by Frederic Y M Wan (University of California, Irvine, USA) This book provides a working knowledge of SDE based on the premise that familiarity with the basic elements of a stochastic calculus for random processes is unavoidable. Through some SDE models of familiar biological phenomena, we show how stochastic methods developed for other areas of science and engineering are also useful in the life sciences. In the process, the volume introduces to biologists a collection of analytical and computational methods for research and applications in this emerging area of life science. The additions broaden the available tools for SDE models for biologists that have been limited by and large to stochastic simulations.

Readership: Undergraduates, graduates, research students, professionals with interests in mathematical biology, stochastic processes and infectious diseases.

Aug 2019 US$98

£85

Computational and Mathematical Methods in Cardiovascular Physiology

by Liang Zhong, Ru San Tan (National Heart Centre Singapore, Singapore), Eddie Yin Kwee Ng (Nanyang Technological University, Singapore) & Dhanjoo N Ghista (University 2020 Foundation, USA)

This book provides a gateway for the new emerging scenario of (i) science and engineering based medical educational curriculum, and (ii) technologically framed medical and surgical procedures. It has literally transformed Cardiovascular Physiology into a STEM discipline, involving (i) quantitative formulations of heart anatomy and physiology, (ii) technologies for imaging the heart and blood vessels, (iii) coronary stenosis hemodynamics measure by means of fractional flow reserve and intervention by grafting and stenting, (iv) fluid mechanics and computational analysis of blood flow in the heart, aorta and coronary arteries, and (v) design of heart valves, percutaneous valve stents, and ventricular assist devices Readership: Academics, biomedical engineers, cardiologists, students, researchers.

460pp 978-981-3270-63-3

May 2019 US$148

Method of Lines in R

by William E Schiesser (Lehigh University, USA) This book provides a quantitative approach to the study of blood brain barrier (BBB) dynamics using a computer-based methodology programmed in R. Mathematical models are developed for mass transfer across the BBB based on partial differential equations (PDEs) applied to the blood capillaries, the endothelial membrane, and the brain tissue. The PDEs derived from mass balances and computer routines in R are presented for the numerical solution of the PDEs. The computed concentration profiles of the transferred components are functions of time and space within the BBB system, i.e., spatiotemporal solutions. The R routines and associated numerical algorithms for computing the numerical solutions are discussed.

The discussion is introductory, without formal mathematics.

Readership: Mathematical biologists, biophysicists, applied mathematicians, biomedical engineers.

Stochastic Models in the Life Sciences and Their Methods of Analysis

371pp 978-981-3274-60-0

Numerical PDE Analysis of the Blood Brain Barrier

£130

264pp 978-981-3275-79-9

Jan 2019 US$98

£85

A Mathematical Modeling Approach to Infectious Diseases Cross Diffusion PDE Models for Epidemiology

by William E Schiesser (Lehigh University, USA) This book provides a methodology for the analysis of infectious diseases by computerbased mathematical models. The approach is based on ordinary differential equations (ODEs) that provide time variation of the model dependent variables and partial differential equations (PDEs) that provide time and spatial (spatiotemporal) variations of the model dependent variables. The numerical methods for the computer implementation of ODE/PDE models for infectious diseases are illustrated with documented R routines for particular applications, including models for malaria and the Zika virus. The R routines are available from a download so that readers can reproduce the reported solutions, then extend the applications through computer experimentation.

Readership: Medical researchers, biologists, applied mathematicians, NIH, WHO, pharmaceutical companies.

460pp 978-981-3238-78-7

Aug 2018 US$98

£86

NOTABLE BACKLIST Dynamics of Cancer: Mathematical Foundations of Oncology Dominik Wodarz & Natalia L Komarova (UC Irvine) Fractal Physiology and Chaos in Medicine (2nd Edition) Bruce J West (Army Research Office, USA) Applications of Automata Theory and Algebra: Via the Mathematical Theory of Complexity to Biology, Physics, Psychology, Philosophy, and Games John Rhodes (University of California at Berkeley, USA) Towards a Mathematical Theory of Complex Biological Systems C Bianca & N Bellomo (Politecnico di Torino, Italy)

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Mathematics Catalogue 2020

MATHEMATICAL COMPUTATION & MODELING Fractional Calculus and Waves in Linear Viscoelasticity (2nd Edition) An Introduction to Mathematical Models

by Francesco Mainardi (University of Bologna, Italy) This book is a self-contained treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation and waves) with particular regard to models based on fractional calculus. It serves as a general introduction to the above-mentioned areas of mathematical modelling. In particular the relevant role played by some special functions is pointed out along with their visualization through plots. Graphics are extensively used in the book and a large general bibliography is included at the end. This new edition keeps the structure of the first edition but each chapter has been revised and expanded, and new additions include a novel appendix on complete monotonic and Bernstein functions that are known to play a fundamental role in linear viscoelasticity.

Readership: Engineers, graduate students and researchers in applied sciences.

400pp 978-1-78326-398-1

Jul 2020 US$150

£125

Dialogues Around Models and Uncertainty

edited by Pauline Barrieu (London School of Economics and Political Science, UK) This book helps develop a better understanding of how researchers from different scientific backgrounds view models and uncertainty. It provides key steps in fostering and encouraging interdisciplinary research, which is vital in addressing several big issues that society faces today, such as climate change, longevity, financial and actuarial risk management. To make progress in these areas, researchers must develop an understanding of differing perspectives and methods of those working in other disciplines.

Readership: Mathematicians interested in modelling, uncertainty, and conversations with researchers working in this field.

250pp 978-1-78634-774-9

Jan 2020 US$88

£75

Complexity Science An Introduction Edited by Mark A Peletier, Rutger A van Santen (Eindhoven University of Technology, The Netherlands), Erik Steur (Delft University of Technology, The Netherlands) In this two-part volume, the first part is a collection of chapters introducing different aspects in a coherent fashion, and providing a common basis and the founding principles of the different complexity science approaches; the next provides deeper discussions of the different methods of use in complexity science, with interesting illustrative applications. The fundamental topics deal with self-organization, pattern formation, forecasting uncertainties, synchronization and revolutionary change, self-adapting and self-correcting systems, and complex networks.

Examples are taken from biology, chemistry, engineering, epidemiology, robotics, economics, sociology, and neurology.

Readership: Graduate students and researchers interested in complexity.

428pp 978-981-3239-59-3

Apr 2019 US$138

£120

www.worldscinet.com

High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion Algorithm and Models for Anomalous Diffusion

by Weihua Deng & Zhijiang Zhang (Lanzhou University, China) This book extends the application field of anomalous diffusion, and describe the newly built models and the simulation techniques to the models. The book first introduces anomalous diffusion, then discusses the models characterizing anomalous diffusion and its applications, including the Fokker – Planck equation, the Feymann – Kac equations describing the functional distribution of the anomalous trajectories of the particles, and also the microscopic model — Langevin type equation. The second main part focuses on providing the high accuracy schemes for these kinds of models, and the corresponding convergence and stability analysis.

Readership: Graduate students and researchers in Numerical Analysis, Integral Equations, Partial Differential Equations, Statistical Physics, Computational Physics.

400pp 978-1-78326-398-1

Jul 2020 US$150

£125

Mathematical Music Theory Algebraic, Geometric, Combinatorial, Topological and Applied Approaches to Understanding Musical Phenomena edited by Mariana Montiel (Georgia State University, USA), Robert W Peck (Louisiana State University, USA) Q u e s t i o n s a b o u t v a r i a t i o n , s i m i l a r i t y, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music.

Readership: Students and researchers in Mathematical Music Theory.

372pp 978-981-3235-30-4

Dec 2018 US$128

£115

Chemotaxis, Reaction, Network Mathematics for Self-Organization

by Takashi Suzuki (Osaka University, Japan) This monograph is devoted to recent mathematical theories on the bottom up selforganization observed in closed and isolated thermo-dynamical systems. Its main features include: New mathematical results observed in nonlinear systems significantly associated with the physical background on self-organization; Mathematically self-contained descriptions based on systematic and comprehensive descriptions of recently developed mathematical techniques; Fusion of many areas by strongly supported theoretical leaderships, including, chemotaxis, turbulence, fluid motion, reaction, and network.

Readership: Researchers in partial differential equations, mathematical modeling, mathematical physics.

328pp 978-981-3237-73-5

Oct 2018 US$118

£104

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Numerical and Symbolic Computations of Generalized Inverses

Grammar of Complexity From Mathematics to a Sustainable World

by Dimitri Volchenkov (Texas Tech University, USA)

by Yimin Wei (Fudan University, China), Predrag Stanimirović & Marko Petković (University of Nis, Serbia) We introduce new methods connecting numerics and symbolic computations, i.e., both the direct and iterative methods as well as the symbolic method for computing the generalized inverses. These will be useful for Engineers and Statisticians, in addition to applied mathematicians. Also, main applications of generalized inverses will be presented. Symbolic method covered in our book but not discussed in other book, which is important for numericalsymbolic computations.

Readership: Graduate students and researchers.

472pp 978-981-3238-66-4

Sep 2018 US$158

£139

Readership: Graduate student in information theory, complex systems and mathematical modeling.

284pp 978-981-3232-49-5

Mar 2018 US$98

£86

Anomalous Transport Models

by Vladimir Uchaikin & Renat Sibatov (Ulyanovsk State University, Russia)

by Martin A Hjortsø & Peter Wolenski (Louisiana State University, USA)

This book will serve as an excellent introduction to linear mathematics for engineering students, both seniors and graduate students. It is the result of a collaboration between a chemical engineer and a mathematician, both of whom have taught classes on modelling and applied mathematics. It provides a broad collection of chemical engineering modelling examples to train students in model formulation and model simplification as well as give a thorough coverage of the mathematical tools used to analyze and solve linear chemical engineering models.

Readership: Engineering students.

Sep 2018 US$138

The book is an introduction, for both graduate students and newcomers to the field of the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and modern information theory.

As these are applied for the exploration and characterization of complex systems. Our selfconsistent review provides the necessary basis for consistency. We discuss a number of applications such diverse as urban structures and musical compositions.

Fractional Kinetics in Space

Linear Mathematical Models in Chemical Engineering (2nd Edition)

640pp 978-981-3270-87-9

WORLD SCIENTIFIC

£120

This book is first of its kind describing a new direction in modeling processes taking place in interplanetary and interstellar space. This method is based on a special mathematical analysis — fractional calculus. The reader will find in this book clear physical explanation of the fractional approach and will become familiar with basic rules in this calculus and main results obtained in frame of this approach. In spite of its profound subject, the book is not overloaded by mathematical details. It contains many illustrations, rich citation and remains accessible to a wide circle of researchers.

Readership: Graduate and postgraduate students, researchers specializing in applications of fractional calculus, astrophysics, solarterrestrial science and physics of cosmic rays.

300pp 978-981-3225-42-8

Jan 2018 US$108

£95

Advanced Textbooks in Mathematics

Crowds in Equations An Introduction to the Microscopic Modeling of Crowds

by Bertrand Maury (Université Paris-Sud, France), Sylvain Faure (UniversitéParis-Sud, France & CNRS, France) The book contains self-contained descriptions of existing models, accompanied by critical analyses of their properties both from a theoretical and practical standpoint. It aims to develop ‘modeling skills’ within the readers, giving them the ability to develop their own models and improve existing ones. Written in connection with a full, open source Python Library, this project also enables readers to run the simulations discussed within the text.

NOTABLE BACKLIST Calculating Catastrophe Gordon Woo Differential Equations as Models in Science and Engineering Gregory Baker (The Ohio State University, USA) Mathematics of Planet Earth: A Primer Dan Crisan (Imperial College London, UK) Modeling Love Dynamics Sergio Rinaldi (Politecnico di Milano, Italy) et al.

Readership: Students or researchers interested in crowd motion modeling.

200pp 978-1-78634-551-6

Sep 2018 US$78

£69

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19

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Mathematics Catalogue 2020

MATHEMATICAL FINANCE & ECONOMICS Handbook of Financial Econometrics, Mathematics, Statistics, and Machine Learning (In 4 Volumes) edited by Cheng Few Lee (Rutgers University, USA), John C Lee (Center for PBBEF Research, USA)

This four-volume handbook covers important concepts and tools used in the fields of financial econometrics, mathematics, statistics, and machine learning. Econometric methods have been applied in asset pricing, corporate finance, international finance, options and futures, risk management, and in stress testing for financial institutions. This handbook discusses a variety of econometric methods, including single equation multiple regression, simultaneous equation regression, and panel data analysis, among others.

It also covers statistical distributions, such as the binomial and log normal distributions, in light of their applications to portfolio theory and asset management in addition to their use in research regarding options and futures contracts.

Readership: Researchers and professionals who are interested in financial econometrics, mathematics, statistics, and technology.

4600pp 978-981-120-238-4(Set)

Jan 2020 US$1399

£1230

World Scientific Handbook in Financial Economics Series - Vol 7

Handbook of Heavy-Tailed Distributions in Asset Management and Risk Management

by Michele Leonardo Bianchi (Banca d’Italia, Italy), Stoyan V Stoyanov (Stony Brook University, USA), Gian Luca Tassinari (University of Bologna, Italy), Frank J Fabozzi (EDHEC Business School, France) & Sergio M Focardi (Léonard De Vinci University, France) In this book, the authors are primarily concerned with the statistical properties of heavy-tailed distributions and with the processes that exhibit jumps. A detailed overview with a Matlab implementation of heavy-tailed models applied in asset management and risk managements is presented.

The book is intended as a tool to understand the main concepts regarding heavy-tailed random variables and processes as applied to real-world applications in finance.

Readership: Those interested in heavy-tailed distributions and Lévy processes using probability or statistics.

600pp 978-981-3274-91-4

Mar 2019 US$188

£165

Risk and Stochastics Ragnar Norberg edited by Pauline Barrieu (London School of Economics and Political Science, UK) This collection of articles is written by respected academics who have influenced and been influenced by the life and work of Professor Norberg. His professional and academic achievements are celebrated here, most significantly the instrumental work he put into setting up the world-renowned Risk and Stochastics Enterprise at the London School of Economics (LSE). Subjects covered include discussion of risk measurements, ruin constraint, supporting stable pensions, filtration in discrete time, Riesz means and Beurling moving averages and orthonormal polynomial expansions. Also featured are notes from contributors giving account of their personal relations with Professor Norberg, as well as an autobiographical chapter from the man himself.

Readership: Graduate level students and researchers interested in the life and work of Ragnar Norberg and in modern actuarial and financial mathematics.

320pp 978-1-78634-194-5

May 2019 US$98

£85

Time Series Econometrics (In 2 Volumes)

Economics, Game Theory and International Environmental Agreements The Ca’Foscari Lectures

by Henry Tulkens (Université Catholique de Louvain, Belgium & Università Ca’ Foscari Venezia, Italy) This book introduces the multidimensional character of international environmental problems in general, and climate change in particular. Ecology, economics, game theory and diplomacy are called upon and brought together in the common framework of a basic mathematical model. Within that framework, and using tools from these four disciplines, the book develops a theory that explains and promotes cooperation in international environmental affairs. It offers a reasonably-sized synthesis of the multidimensional societal problems of transfrontier pollution, particularly of climate change.

Readership: Students and researchers interested in transboundary environmental issues from an environmental economics and game theory perspective.

460pp 978-981-3141-22-3 978-981-3143-01-2(pbk)

Jul 2019 US$118 US$58

£105 £50

edited by Pierre Perron (Boston University, USA)

Volume 1 covers statistical methods related to unit roots, trend breaks and their interplay. The book covers important topics such as the PhillipsPerron unit root test and theoretical analyses about their properties, how this and other tests could be improved, and ingredients needed to achieve better tests and the proposal of a new class of tests. Volume 2 is about statistical methods related to structural change in time series models. The approach adopted is off-line whereby one wants to test for structural change using a historical dataset and perform hypothesis testing.

The methods discussed have, and continue to be, applied in a variety of fields including economics, finance, life science, physics and climate change.

Readership: Graduate students and researchers interested in theoretical and applied time series analysis.

1736pp 978-981-3237-85-8(Set)

Apr 2019 US$358

£315

NOTABLE BACKLIST Elementary Stochastic Calculus, with Finance in View Thomas Mikosch (University of Groningen) Essentials of Stochastic Finance: Facts, Models, Theory Albert N Shiryaev (Steklov Mathematical Institute & Moscow State University) Change of Time and Change of Measure (2nd Edition) Ole E Barndorff-Nielsen (Aarhus University, Denmark), Albert Shiryaev (Steklov Mathematical Institute, Russia & Moscow State University, Russia) Probability and Statistics for Economists Yongmiao Hong (Cornell)

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MATHEMATICAL LOGIC & FOUNDATIONS Set Theory and Foundations of Mathematics: An Introduction to Mathematical Logic Volume I: Set Theory

by Douglas Cenzer, Jean Larson, Christopher Porter & Jindrich Zapletal (University of Florida, USA) This book provides an introduction to axiomatic set theory and descriptive set theory. It is designed as a flexible and accessible text for a one-semester introductory course in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered throughout the text.

Readership: Upper level undergraduate or beginning graduate students interested in set theory and mathematical logic.

150pp 978-981-120-192-9

Apr 2020 US$48

£40

Functional Interpretations From the Dialectica Interpretation to Interpretations of Classical and Constructive Set Theory

by Justus Diller (University of Münster, Germany) This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to Gödel’s Dialectica interpretation of Heyting arithmetic which replaces nested quantification by higher type operations and thus reduces the consistency problem for arithmetic to the problem of computability of primitive recursive functionals of finite types. Regular functional interpretations, i.e. Dialectica and Diller – Nahm interpretation as well as Kreisel’s modified realization, together with their Troelstra-style hybrids, are applied to constructive as well as classical systems of arithmetic, analysis, and set theory.

Unravelling Complexity

Readership: Researchers in mathematical logic and set theory.

The Life and Work of Gregory Chaitin

250pp 978-981-4551-39-7

edited by Shyam Wuppuluri (R N Podar Institute, India), Francisco Antonio Doria (Universidade Federal do Rio de Janeiro, Brazil) The revolutions that Gregory Chaitin brought within the fields of science are well known. From his discovery of algorithmic information complexity to his work on Gödel’s theorem, he has contributed deeply and expansively to such diverse fields. This book attempts to bring together a collection of articles written by his colleagues, collaborators and friends to celebrate his work in a festschrift. It encompasses various aspects of the scientific work that Chaitin has accomplished over the years. Topics range from philosophy to biology, from foundations of mathematics to physics, from logic to computer science, and all other areas Chaitin has worked on.

Readership: Students and researchers. Those interested in the works and life of Gregory Chaitin.

300pp 978-981-120-006-9

Apr 2020 US$118

£105

Computability, Forcing and Descriptive Set Theory edited by Douglas Cenzer (University of Florida, USA), Christopher Porter (Drake University, USA) & Jindrich Zapletal (University of Florida, USA)

This volume presents some exciting new developments occurring on the interface between set theory and computability as well as their applications in algebra, analysis and topology. These include effective versions of Borel equivalence, Borel reducibility and Borel determinacy. It also covers algorithmic randomness and dimension, Ramsey sets and Ramsey spaces. Prominent contributors and institutions include George Barmpalias (Chinese Acad. Sci. and U. Wellington, NZ), Andreas Blass (Fellow of AMS, U. Michigan), Andy Lewis-Pye (London School of Economics) Readership: Graduate students and researchers interested in the interface between set theory and computability.

200pp 978-981-3228-22-1

Feb 2020 US$98

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Sep 2019 US$98

£81

How to Measure the Infinite Mathematics with Infinite and Infinitesimal Numbers

by Vieri Benci & Mauro Di Nasso (Università di Pisa, Italy) This book contains an original introduction to the use of infinitesimal and infinite numbers, namely, the Alpha-Theory, which can be considered as an alternative approach to nonstandard analysis. The basic principles are presented in an elementary way by using the ordinary language of mathematics; this is to be contrasted with other presentations of nonstandard analysis where technical notions from logic are required since the beginning. Some applications are included and aimed at showing the power of the theory.

Readership: Advanced undergraduate and graduate students in mathematics and philosophy.

348pp 978-981-283-637-3

Feb 2019 US$118

£105

Eliminating the Universe Logical Properties of Natural Language

by Edward L Keenan (University of California, Los Angeles, USA) This book synthesizes the work on logical expressive power of natural language. It extends the tools and concepts of model theory as used in (higher order) predicate logic to the study of natural language semantics. It focuses on boolean structure, generalized quantification (separated from variable binding), covering some cases of anaphora. Different categories — predicates, adjective, quantifiers — are modeled by non-isomorphic boolean lattices. The work applies well understood boolean notions to an extended study of the meaning system of natural language — of interest then to computational linguistics and philosophical and mathematical studies of linguistically motivated logical systems.

Readership: Researchers in mathematical logic and artificial intelligence.

184pp 978-981-4719-83-4

Aug 2018 US$88

£75

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Mathematics Catalogue 2020

Proof and Computation

NUMERICAL ANALYSIS & APRROXIMATION

Digitization in Mathematics, Computer Science, and Philosophy edited by Klaus Mainzer (Technische Universität München, Germany), Peter Schuster (Università degli Studi di Verona, Italy) & Helmut Schwichtenberg (LudwigMaximilians-Universität München, Germany) This book introduces modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view.

Its scope includes Predicative Foundations, Constructive Mathematics and Type Theory, Computation in Higher Types, Extraction of Programs from Proofs, and Algorithmic Aspects in Financial Mathematics. By filling the gap between (under-)graduate level textbooks and advanced research papers, the book gives a scholarly account of recent developments and emerging branches of the aforementioned fields.

Readership: Graduate students, researchers, and professionals in Mathematics and Computer Science.

300pp 978-981-3270-93-0

Jul 2018 US$98

£85

Mathematics Almost Everywhere In Memory of Solomon Marcus

This volume intends to emphasize the mathematical fields in which Solomon Marcus worked, and demonstrate — as he also did — the interconnection between them. The authors who contribute to this volume are well-known experts in their fields. Most of them knew Solomon Marcus well, some even owed him for his decisive impulses for their careers and general development.

With articles in so diverse areas, the volume will attract readers who would like to diversify their own knowledge or find unexpected connections with other topics.

Readership: Graduate students and researchers.

Jun 2018 US$98

by Wen Shen (Penn State University, USA)

“For a compact volume, the homework is ample and well-conceived.

Homework problems concluding each chapter include applications, programming tasks, and a list of items to turn in. A complete set of solutions is available for instructor upon request... This is an excellent resource as a semester-long text, textbook adjunct, introduction for self-instruction, or a handy reference for practical implementations.”

Mathematical Assoication of America Readership: Undergraduate students interested in numerical computation and analysis.

320pp 978-981-120-441-8 978-981-120-518-7(pbk)

Oct 2019 US$85 US$45

£75 £40

Advanced Mathematical and Computational Tools in Metrology and Testing XI

edited by Alistair B Forbes (National Physical Laboratory, UK), Nien-Fan Zhang (National Institute of Standards and Technology, USA), Anna Chunovkina (Institute for Metrology “D I Mendeleyev”, Russia), Sascha Eichstädt (Physikalisch-Technische Bundesanstalt, Germany) & Franco Pavese (IMEKO TC21, Italy)

edited by Alexandra Bellow (Northwestern University, USA), Cristian S Calude (University of Auckland, New Zealand) & Tudor Zamfirescu (Technical University of Dortmund, Germany & “Simion Stoilow” Mathematical Institute of the Romanian Academy, Romania)

252pp 978-981-3237-30-8

An Introduction to Numerical Computation (2nd Edition)

£86

NOTABLE BACKLIST Forcing for Mathematicians Nik Weaver (Washington University in St. Louis, USA) A Beginner’s Further Guide to Mathematical Logic Raymond Smullyan Introduction to Mathematical Logic (Extended Edition) Michał Walicki (University of Bergen, Norway) Saturated Model Theory (2nd Edition) Gerald E Sacks (Harvard University, USA)

This volume contains original, refereed contributions by researchers from institutions and laboratories across the world that are involved in metrology and testing. The papers present new modeling approaches, algorithms and computational methods for analyzing data from metrology systems and for evaluation of the measurement uncertainty, and describe their applications in a wide range of measurement areas.

Readership: Researchers, graduate students, academics and professionals in metrology.

460pp 978-981-3274-29-7

Dec 2018 US$168

£150

Explorations in Numerical Analysis

by James V Lambers & Amber C Sumner (The University of Southern Mississippi, USA) This textbook introduces students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques.

Topics covered include error analysis, computer arithmetic, solution of systems of linear equations, least squares problems, eigenvalue problems, polynomial interpolation and approximation, numerical differentiation and integration, nonlinear equations, optimization, ordinary differential equations, and partial differential equations.

Readership: Undergraduate and graduate students in numerical analysis.

ENRICH YOUR LIBRARY’S COLLECTION RECOMMEND THESE BOOKS TO YOUR LIBRARIAN.

676pp 978-981-3209-96-1 978-981-3209-97-8(pbk)

Nov 2018 US$118 US$68

£98 £56

NOTABLE BACKLIST Meshfree Approximation Methods with Matlab Gregory E Fasshauer (Illinois Institute of Technology, USA) Kernel-based Approximation Methods using MATLAB Gregory Fasshauer (Illinois Institute of Technology, USA), Michael McCourt (University of Colorado Denver, USA)

For more information, visit: www.worldscientific.com

WORLD SCIENTIFIC

MATHEMATICAL PHYSICS & RELATED TOPICS Quantum Field Theory, Quantum Physics and Micro-Macro Duality

by Izumi Ojima (Research Origin for Dressed Photon, Japan), Kazuya Okamura (Nagoya University, Japan) & Hayato Saigo (Nagahama Institute of Bio-Science and Technology, Japan) According to the fundamental concept “adjunctions” in category theory, the Micro and Macro in nature can be connected in a coherent way, which constitutes quite an effective theoretical and mathematical machinery that has not been commonly recognized. On the basis of this concept, many important problems in physics and mathematics can be viewed from quite different and fresh angles, which facilitate deep understanding and the satisfactory solution of those problems.

Readership: Graduate students and researchers in quantum theory, mathematical physics, neural networks, pattern recognition.

300pp 978-981-3238-36-7

Nov 2020 US$98

£86

A Mathematics Primer for Physics Students

by Andrew E Blechman (Wayne State University, USA)

This primer is meant to be both an introduction and summary of many mathematical methods that are needed to solve problems in advanced undergraduate or early graduate physics courses. The material is presented through example to demonstrate how it would be useful in the context of solving physics problems, with minimal use of formalism or proof.

Topics include linear algebra; vector and tensor analysis; geometric tools such as metrics and curvature; mathematical groups, with emphasis on representation theory and Lie groups/algebras; complex calculus; integral transforms and differential equations; and an introduction to algebraic topology.

Readership: Undergraduate and graduate students.

300pp 978-981-3238-01-5

May 2020 US$78

£69

Mathematical Foundations of Quantum Field Theory

by Albert Schwarz (University of California at Davis, USA)

Written for both mathematicians and physicists, the author explains the theoretical formulation with a mixture of rigorous proofs and heuristic arguments; references are given for those who are looking for more details.

The author is also careful to avoid ambiguous definitions and statements that can be found in some physics textbooks. In terms of topics, almost all other books are devoted to relativistic quantum field theory, conversely this book is concentrated on the material that does not depend on the assumptions of Lorentz-invariance and/or locality.

Readership: Physics and mathematics students; researchers in quantum field theory.

350pp 978-981-3278-63-9

May 2020 US$128

Lectures of David Olive on Gauge Theories and Lie Algebras With Some Applications to Spontaneous Symmetry Breaking and Integrable Dynamical Systems With Foreword by Lars Brink edited by Andreas Fring (City, University of London, UK), Neil Turok (Perimeter Institute for Theoretical Physics, Canada) Professor David Olive was a renowned British theoretical physicist who made seminal contributions to superstrings, quantum gauge theories and mathematical physics. He was awarded the Dirac Medal by the International Centre for Theoretical Physics in Trieste in 1997, with his long-standing collaborator Peter Goddard. He was known for his visionary conjectures, including electromagnetic duality in spontaneously broken gauge theories, as well as his exceptionally clear and insightful style of exposition. These lectures, delivered by David Olive in 1982 at the University of Virginia, provide a pedagogical, self-contained introduction to gauge theory, Lie algebras, electromagnetic duality and integrable models. Despite enormous subsequent developments, they still provide a valuable entry point to some of the deepest topics in quantum gauge theory.

Readership: Graduate students and academics interested in quantum field theory.

170pp 978-981-3237-57-5

Feb 2020 US$68

£60

Series on Knots and Everything

On Complementarity A Universal Organizing Principle

by Jack Shulman Avrin This book features Complementarity, in which the matrix algebra is extended to characterize not only DNA itself but the well-known process of its replication, a most gratifying outcome. It explores Complementarity, with and without its matrix expression, as it occurs, not only in much of physics but in its extension to cosmology as well. This book arose as an outgrowth of the author’s previous book entitled “Knots, Braids and Moebius Strips (World Scientific, 2015) wherein the Principle itself was discovered to be expressible as a simple 2x2 matrix that summarizes the algebraic essence of the well-known Microbiology of DNA and the author’s version of elementary particles of physics. Thus, possibility of a wider utilization of that expression of Complementarity arose.

Readership: Undergraduate and graduate students in Mathematics and Physics.

160pp 978-981-3278-97-4

Jan 2020 US$78

£70

Quantum Systems and Finite Approximations £115

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Archimedean and Non-Archimedean

by Trond Digernes (The Norwegian University of Science and Technology (NTNU), Norway), Erik Makino Bakken (Norwegian Defence Research Establishment, Norway) In this volume various aspects of non-Archimedean quantum systems are discussed, such as spectral properties of their Schrö dinger operators, and their ability to be approximated by finite systems. Non-Archimedean stochastic methods are also discussed. There are already some excellent books on non-Archimedean physical models. In this monograph emphasis will be on topics not covered by these books, such as finite approximation properties. These will be illustrated by numerical results and graphics Readership: Researchers in mathematical physics, quantum physics and quantum mechanics.

150pp 978-981-4713-49-8

Feb 2020 US$90

£75

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Mathematics Catalogue 2020

Group Theory for Physicists (2nd Edition)

Essential Textbooks in Physics

How to Derive a Formula

by Zhong-Qi Ma (Institute of High Energy Physics, Beijing, China)

Volume 1: Basic Analytical Skills and Methods for Physical Scientists

This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists.

Calculation methods in the context of physics are emphasized. New materials drawn from the teaching and research experience of the author are included. The generalized Gel’fand’s method is presented to calculate the matrices of irreducible representations of the simple Lie algebra and its Clebsch – Gordan coefficients. This book is for graduate students and young researchers in physics, especially theoretical physics. It is also for graduate students in theoretical chemistry.

This book presents mathematical methods in simple terms, with more of an emphasis on skills as opposed to technical knowledge. Based on intuition and common sense rather than mathematical rigor, it teaches students from scratch using pertinent examples, many taken across the physical sciences. This book provides an interesting new perspective of what a mathematics textbook could be, including historical facts and humour to complement the material.

by Alexei Kornyshev & Dominic O’Lee (Imperial College London, UK)

Readership: Graduate students and researchers exploring the mathematical beauty of symmetry.

655pp 978-981-3277-38-0 978-981-3277-96-0(pbk)

Sep 2019 US$128 US$68

£115 £60

Series on Analysis, Applications and Computation

The Linearised Dam-Break Problem A Universal Organizing Principle

by D J Needham, S McGovern & J A Leach (University of Birmingham, UK) The monograph addresses a canonical problem in linear water wave theory, through the development-detailed, asymptotic analysis of contour integrals in the complex plane. It is anticipated that the methodology developed in the monograph will have applications to many associated linear wave evolution problems, to which the reader may adapt the approach developed in the monograph. The approach adopted in the monograph is novel, and there are no existing publications for comparison.

Readership: Graduate students and researchers.

168pp 978-981-3223-87-5

Sep 2019 US$88

£77

Elementary Mechanics (In 2 Volumes)

by John G Papastavridis (Georgia Institute of Technology, USA) This is a comprehensive and state-of-the-art compendium of NewtonianEulerian mechanics, from an advanced and unified viewpoint. The presentation is eminently readable and inclusive: the style is informal and the mathematics has been kept to the simplest necessary for a work of this level and scope — all ahistorical and intuition-deadening jargon and formalisms have been intentionally avoided. To make this volume as self-contained as possible, an extensive, handbook-like, exposition of the necessary mathematics is presented. A detailed treatment of the fundamentals of most basic concepts and general equations are discussed, as well as their approximations.

Readership: Teachers and Researchers in engineering (especially aerospace, mechanical, and engineering mechanics), physics, and applied mathematics.

1680pp 978-981-4603-04-1(Set)

Sep 2019 US$384

£319

Readership: Advanced and enthusiastic students preparing for universities, undergraduate students; lecturers.

462pp 978-1-78634-634-6 978-1-78634-644-5(pbk)

Sep 2019 US$108 US$58

£95 £50

Topology and Physics

edited by Chen Ning Yang (Tsinghua University, China), Mo-Lin Ge (Chern Institute of Mathematics, China) & Yang-Hui He (City, University of London, UK) In this eponymous volume, we are honoured to have contributions from an assembly of grand masters of the field, guiding us with their world-renowned expertise on the subject of the interplay between “Topology” and “Physics”.

Contributors include Chen Ning Yang, Sir Michael Atiyah, Nick Manton, Robbert Dijkgraaf, Edward Witten, Louis H Kauffman, Minhyong Kim, Sir Roger Penrose, Zhenghan Wang, Haijun Zhang, Shou-Cheng Zhang and Xiao-Gang Wen. Readership: Senior undergraduate student; graduate students; researchers.

232pp 978-981-3278-49-3 978-981-3278-50-9(pbk)

Mar 2019 US$88 US$28

£75 £25

A Guide to Mathematical Methods for Physicists Advanced Topics and Applications

by Michela Petrini (Sorbonne Université, Paris, France), Gianfranco Pradisi (University of Rome Tor Vergata, Italy) & Alberto Zaffaroni (University of Milano-Bicocca, Italy) This book provides a self-contained and rigorous presentation of the main mathematical tools needed to approach many courses in final year Physics undergraduates and MSc programs courses, from Electromagnetism to Quantum Mechanics. The different arguments are organised in three main sections: Complex Analysis, Differential Equations and Hilbert Spaces, covering most of the standard mathematical method tools in modern physics. It contains a large number of examples, problems and detailed solutions, emphasising the main purpose of relating concrete physical examples with more formal mathematical aspects.

Readership: Students and professionals in the field.

308pp 978-1-78634-548-6 978-1-78634-704-6(pbk)

Oct 2018 US$88 US$48

£77 £40

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WORLD SCIENTIFIC

Theoretical and Mathematical Physics

Fractional Quantum Mechanics

Problems and Solutions

Fractional quantum mechanics is a recently emerged and rapidly developing field of quantum physics. This is the first monograph on fundamentals and physical applications of fractional quantum mechanics, written by its founder. The fractional Schrödinger equation and the fractional path integral are new fundamental physical concepts introduced and elaborated in the book. The fractional Schrö dinger equation is a manifestation of fractional quantum mechanics.

The fractional path integral is a new mathematical tool based on integration over Lévy flights. The fractional path integral method enhances the wellknown Feynman path integral framework.

by Nick Laskin (TopQuark Inc., Canada)

by Willi-Hans Steeb (University of Johannesburg, South Africa) This updated and extended edition of the book combines the topics provided in the two parts of the previous editions as well as new topics. It is a comprehensive compilation covering most areas in mathematical and theoretical physics. The book provides a collection of problems together with their detailed solutions. Each chapter provides a short introduction with the relevant definitions and notations. All relevant definitions are given.

The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained.

Stimulating supplementary problems are also provided in each chapter.

Readership: Undergraduates, graduate students, academics and researchers in physics and mathematics.

736pp 978-981-3275-37-9 978-981-3275-96-6(pbk)

Oct 2018 US$148 US$88

£130 £75

Fractional Calculus (3rd Edition)

“The third edition of this book is designed to carefully and coherently introduce fractional calculus to physicists, by applying the ideas to two distinct applications: classical problems and multi-particle quantum problems. There remain many open questions and the field remains an active area of research. Dr Herrmann’s book is an excellent introduction to this field of study.”

Contemporary Physics Readership: Students, researchers as well as lecturers of various physics courses. £130

Inverse Scattering in Electromagnetism

by Hiroshi Isozaki (University of Tsukuba, Japan) The first three chapters, written comprehensively, can be used as a textbook for undergraduate students. Beginning with elementary vector calculus, this book provides fundamental results for wave equations and Helmholtz equations, and summarizes the potential theory. It also explains the cohomology theory in an easy and straightforward way, which is an essential part of electromagnetism related to geometry. It then describes the scattering theory for the Maxwell equation by the time-dependent method and also by the stationary method in a concise, but almost self-contained manner. Based on these preliminary results, the book proceeds to the inverse problem for the Maxwell equation.

Readership: Undergraduate and graduate students; researchers interested in inverse scattering theory for electromagnetism.

Sep 2018 US$118

£104

Ludwig Faddeev Memorial Volume

Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics. His fundamental contributions to scattering theory, quantum gauge theories, and the theory of classical and quantum completely integrable systems played a key role in shaping modern mathematical physics. This volume serves as a tribute to this legendary figure. Volume contributors include: Fields medalist Sir Michael Atiyah, Jürg Frö hlich, Roman Jackiw, Vladimir Korepin, Nikita Nekrasov, André Neveu, Alexander M Polyakov, Samson Shatashvili, Fedor Smirnov as well as Nobel laureates Frank Wilczek and C N Yang.

Readership: Students, researchers and academics in mathematical physics.

636pp 978-981-3233-76-8

Maxwell Equation

300pp 978-981-3232-69-3

Jul 2018 US$118

edited by Mo-Lin Ge (Chern Institute of Mathematics, China), Antti J Niemi (Stockholm University, Sweden & Uppsala University, Sweden), Kok Khoo Phua (NTU, Singapore) & Leon A Takhtajan (Stony Brook University, USA & Euler International Mathematical Institute, Russia)

by Richard Herrmann (GigaHedron, Germany)

Aug 2018 US$148

360pp 978-981-3223-79-0

A Life in Mathematical Physics

An Introduction for Physicists

636pp 978-981-3274-57-0

Readership: Graduate students and researches in quantum theory, stochastic processes, statistical mechanics, special functions.

£104

Jul 2018 US$128

£113

Theory of Groups and Symmetries Finite Groups, Lie Groups, and Lie Algebras

by Alexey P Isaev (Joint Institute for Nuclear Research, Dubna, Russia & M V Lomonosov Moscow State University, Russia), Valery A Rubakov (Russian Academy of Sciences, Moscow, Russia & M V Lomonosov Moscow State University, Russia) The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups. The book presents a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence.

Readership: Graduate students and researchers in theoretical and mathematical physics.

476pp 978-981-3236-85-1

May 2018 US$138

£121

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Mathematics Catalogue 2020

Langevin and Fokker – Planck Equations and their Generalizations

Analysis on Fock Spaces and Mathematical Theory of Quantum Fields

Descriptions and Solutions

An Introduction to Mathematical Analysis of Quantum Fields

by Sau Fa Kwok (State University of Maringá, Brazil) This invaluable book provides a broad introduction to a rapidly growing area of nonequilibrium statistical physics. The first part of the book complements the classical book on the Langevin and Fokker – Planck equations (H. Risken, The Fokker – Planck Equation: Methods of Solution and Applications (Springer, 1996)). Some topics and methods of solutions are presented and discussed in details which are not described in Risken’s book, such as the method of similarity solution, the method of characteristics, transformation of diffusion processes into the Wiener process in different prescriptions, harmonic noise and relativistic Brownian motion. Connection between the Langevin equation and Tsallis distribution is also discussed.

Readership: Advanced undergraduate and graduate students in mathematical physics and statistical physics.

208pp 978-981-3228-40-5

Apr 2018 US$98

£86

by John Baez (UC Riverside & Centre for Quantum Technologies, Singapore), Jacob D Biamonte (Skolkovo Institute of Science and Technology, Russia) We introduce the theory of chemical reaction networks and their relation to stochastic Petri nets — important ways of modeling population biology and many other fields. We explain how techniques from quantum mechanics can be used to study these models. This relies on a profound and still mysterious analogy between quantum theory and probability theory, which we explore in detail. We also give a tour of key results concerning chemical reaction networks and Petri nets.

Readership: Graduate students and researchers in the field of quantum and mathematical physics.

Apr 2018 US$98

£86

Noncommutative Cosmology

by Matilde Marcolli (California Institute of Technology, USA & Perimeter Institute for Theoretical Physics, Canada & University of Toronto, Canada) Modified gravity models play an important role in contemporary theoretical cosmology. The present book proposes a novel approach to the topic based on techniques from noncommutative geometry, especially the spectral action functional as a gravity model. The book discusses applications to early universe models and slowroll inflation models, to the problem of cosmic topology, to non-isotropic cosmologies like mixmaster universes and Bianchi IX gravitational instantons, and to multifractal structures in cosmology.

Readership: Graduate students and researchers in mathematical physics and theoretical cosmology.

292pp 978-981-3202-83-2 978-981-3202-84-9(pbk)

Feb 2018 US$98 US$48

This book provides a comprehensive introduction to Fock space theory and its applications to mathematical quantum field theory. The first half of the book, Part I, is devoted to detailed descriptions of analysis on abstract Fock spaces (full Fock space, boson Fock space, fermion Fock space and boson-fermion Fock space). The second half of the book, Part II, covers applications of the mathematical theories in Part I to quantum field theory. New topics are included, such as the theory of infinite dimensional Dirac operators and an abstract supersymmetric quantum field theory, which have been originally developed by the author.

Readership: Advanced undergraduate and graduate students in mathematics or physics, mathematicians and mathematical physicists.

892pp 978-981-3207-11-0

Feb 2018 US$188

£165

Peking University-World Scientific Advanced Physics Series - Vol 2

Quantum Techniques in Stochastic Mechanics

276pp 978-981-3226-93-7

by Asao Arai (Hokkaido University, Japan)

£86 £42

Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases (2nd Edition)

by Zhanchun Tu (Beijing Normal University, China), Zhongcan Ou-Yang, Jixing Liu (Chinese Academy of Sciences, China) & Yuzhang Xie (Tsinghua University, China)

“The book is highly recommended as a reference for advanced graduate students and scholars involved in geometric analysis of membranes and other elastic surfaces.

Valuable techniques may be learned from the book’s model constructions and sequential derivations and presentations of governing equations.

Detailed analysis and solutions enable the reader with an increased understanding of the physical characteristics of membranes in liquid crystal phases such as their preferred shapes.”

Contemporary Physics Readership: Researchers working with biomembranes.

288pp 978-981-3227-72-9

Jan 2018 US$128

£113

Mathematics for Physics An Illustrated Handbook

by Adam Marsh This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses. The exposition is pedagogical but compact, and the emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions, alternative notations and jargon, and relevant facts and theorems. The primary physical models targeted are general relativity, spinors, and gauge theories, with notable chapters on Riemannian geometry, Clifford algebras, and fiber bundles.

Readership: Students in math and physics who want to explore a level deeper into actual mathematical content.

300pp 978-981-3233-91-1

Jan 2018 US$98

£86

For more information, visit: www.worldscientific.com

Scattering by Obstacles and Potentials

OPTIMIZATION & CONTROL

by Alexander G Ramm (Kansas State University, USA)

A New Method of Constructing Brakke’s Motion

The book is important as it contains results many of which are not available in the literature, except in the author’s papers. Among other things, it gives uniqueness theorems for inverse scattering problems when the data are nonover-determined, numerical method for solving inverse scattering problems, a method (MRC) for solving direct scattering problem.

Readership: Researchers and graduate students in mathematics, computational mathematics, physics, acoustics, mechanical engineering.

620pp 978-981-3220-96-6

Jan 2018 US$178

£157

Emergence of the Quantum from the Classical Mathematical Aspects of Quantum Processes

This book demonstrates that quantum mechanics can indeed be viewed as a refinement of Hamiltonian mechanics, and builds on the work of George Mackey in relation to their mathematical foundations. Additionally when looking at the differences with classical mechanics, quantum mechanics crucially depends on the value of Planck’s constant h. Recent cosmological observations tend to indicate that not only the fine structure constant αbut also h might have varied in both time and space since the Big Bang. We explore the mathematical and physical consequences of a variation of h; surprisingly we see that a decrease of h leads to transitions from the quantum to the classical.

Readership: Undergraduate and graduate students of mathematics and physics.

Jan 2018 US$118

by Kazuhiro Horihata (Tohoku University, Japan)

The paper entitled “Convergence of the Allen-Cahn equation to Brakke’s motion by mean curvature” by T Ilmanen constructs Brakke’s motion from Allen-Cahn equation, which is one of the measure theoretic approaches to motion by mean curvature. This book first proposes a new idea that involves a new equation of the Allen-Cahn type to construct Brakke’s motion; secondly explaining how to construct it through Ilmanen’s approach as easily as possible.

Readership: Researchers in calculus of variations and optimal control, partial differential equations, ordinary differential equations, integral equations, differential geometry.

400pp 978-981-3228-58-0

May 2020 US$138

£121

Nonlinear Algebra in an ACORN With Applications to Deep Learning

by Maurice de Gosson (University of Vienna, Austria)

308pp 978-1-78634-414-4

WORLD SCIENTIFIC

by Martin J Lee (Stanford University, USA), Ken Tsang (Beijing Normal University - Hong Kong Baptist University United International College, China) A simple algorithm for solving a set of nonlinear equations by matrix algebra has been discovered recently — first by transforming them into an equivalent matrix equation and then finding the solution analytically in terms of the inverse matrix of this equation. With this newly developed ACORN (Adaptive Constrained Optimal Robust Nonlinear) algorithm, it is possible to minimize the objective function without computing its derivatives. This book will present the details of ACORN algorithm and how it is used to solve large scale nonlinear equations with an innovative approach. The ultimate motivation of this work is its application to optimization.

Readership: Students and researchers of optimization.

92pp 978-981-3271-51-7

Nov 2018 US$48

£40

£104

Optimization Theory A Concise Introduction NOTABLE BACKLIST Feynman Motives Matilde Marcolli (California Institute of Technology, USA) Gauge Fields, Knots and Gravity John Baez & Javier P Muniain (UC Riverside) Lagrangian and Hamiltonian Mechanics M G Calkin (Dalhousie University) Modern Differential Geometry for Physicists (2nd Edition) Chris J Isham (Imperial College)

by Jiongmin Yong (University of Central Florida, USA) This book introduces some classical and basic results of optimization theory, including nonlinear programming with Lagrange multiplier method, the Karush – Kuhn – Tucker method, Fritz John’s method, problems with convex or quasiconvex constraints, and linear programming with geometric method and simplex method.

We present nonlinear programming, convex programming, and linear programming in a self-contained manner. This book is for a one-semester course for upper level undergraduate students or first/second year graduate students. It should also be useful for researchers working on many interdisciplinary areas other than optimization.

Readership: Undergraduates; graduates and researchers interested in classical and basic optimization theory.

236pp 978-981-3237-64-3

www.worldscientific.com/page/ecatalogues

Jul 2018 US$78

£69

NOTABLE BACKLIST Introduction to the Calculus of Variations (3rd Edition) Bernard Dacorogna (Ecole Polytechnique Fédérale Lausanne, Switzerland) Moments, Positive Polynomials and Their Applications Jean Bernard Lasserre (LAAS-CNRS & Institute of Mathematics, University of Toulouse, France)

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Mathematics Catalogue 2020

MATHEMATICS EDUCATION Mathematical Outreach

Integrating Computers and Problem Posing in Mathematics Teacher Education

Explorations in Social Justice Around the Globe edited by Hector Rosario (Julia Robinson Mathematics Festival, USA & American Institute of Mathematics, USA)

by Sergei Abramovich (State University of New York at Potsdam, USA)

This groundbreaking anthology is a collection of accounts from leaders in mathematical outreach initiatives. The experiences range from prison education programs to alternative urban and Indian reservation classrooms across the United States, traversing the planet from the Americas to Africa, Asia, and the Indian subcontinent. Through these stories, the authors share their educational philosophy, personal experiences, and student outcomes. They incorporate anecdotal vignettes since research articles in mathematics education often exclude them. The inclusion of these stories is an element that adds immeasurable value to the larger narratives they tell.

Readership: Researchers, leaders in mathematics outreach programs, social justice organisations.

230pp 978-981-121-060-0

Sep 2019 US$88

£75

Association of Mathematics Educators, Singapore

Nov 2018 US$98

£85

Series on Mathematics Education - Vol 15

edited by Tin Lam Toh & Joseph B W Yeo (Nanyang Technological University, Singapore) The new emphasis in the Singapore mathematics education is on Big Ideas. This book contains more than 15 chapters from various experts on mathematics education that describe various aspects of Big Ideas from theory to practice.

It contains chapters that discuss the historical development of mathematical concepts, specific mathematical concepts in relation to Big Ideas in mathematics, the spirit of Big Ideas in mathematics and its enactment in the mathematics classroom.

Readership: Graduate students, researchers, practitioners and teachers in mathematics.

Jul 2019 US$148

Readership: Mathematics teachers.

256pp 978-981-3273-91-7

Big Ideas in Mathematics

404pp 978-981-120-536-1

The book is written to share ideas stemming from technology-rich K-12 mathematics education courses over the past two decades. It includes examples of problems posed by the teacher candidates using computers. These examples are analyzed through the lenses of the theory proposed in the book. The book includes examples of computer-enabled formulation as well as reformulation of rather advanced problems associated with the pre-digital era problem-solving curriculum. The goal of the problem reformulation is at least two-fold: to make curriculum materials compatible with the modern-day emphasis on democratizing mathematics education and to find the right balance between positive and negative affordances of technology. The book focuses on the use of spreadsheets, Wolfram Alpha, Maple, and The Graphing Calculator (also known as NuCalc) in problem posing.

£130

Mathematics and its Teaching in the Asia-Pacific Region

edited by John Mack (Sydney University, Australia), Bruce Vogeli (Columbia University, USA) This book provides the global mathematics education community with information on the recent and current status of the teaching of mathematics in a group of island nations in the Asia-Pacific region. Sri Lanka, Indonesia, Japan, the Philippines, Australia, Papua New Guinea, New Zealand, and twelve nations in the South Pacific Ocean. It is the third volume in a series conceived by Dr Bruce Vogeli of Columbia University Teachers College, aimed at producing contemporary accounts of mathematics teaching in a world-wide group of nations. Previous volumes have covered Central and South American nations and a selection of Muslim nations respectively.

Readership: Researchers, policy makers, politicians and general public interested in mathematics education.

Theoretical and Practical Pedagogy of Mathematical Music Theory

324pp 978-981-3272-12-5

Music for Mathematics and Mathematics for Music, From School to Postgraduate Levels edited by Mariana Montiel (Georgia State University, USA), Francisco Gómez (Universidad Politécnica de Madrid, Spain)

Oct 2018 US$128

£115

Mathematics Instruction: Goals, Tasks and Activities Association of Mathematics Educators, Singapore

Mathematics students have seen in Music in Mathematics courses, how their accumulated knowledge of abstract ideas can be applied to an important human activity while reinforcing their dexterity in Mathematics.

Similarly, new general education courses in Music and Mathematics are being developed and are arising at the university level, as well as for high school and general audiences without requiring a sophisticated background in either music nor mathematics. These courses and projects have been implemented in the USA, in China, Ireland, France, Australia, and Spain.

This volume shares the motivation and content of new Mathematical Theory and Music in Mathematics courses while contributing concrete materials.

edited by Pee Choon Toh & Boon Liang Chua (Nanyang Technological University, Singapore)

Readership: Students, teachers, researchers. Also a library reference.

This book offers mathematics teachers a cache of teaching ideas and resources for classroom instruction. Readers will find various task design principles, examples of mathematical tasks used in classrooms and teaching approaches to implement the tasks.

Through these discussions, readers are invited to reflect and rethink their beliefs about mathematics teaching and learning in the 21st century, and reexamine the tasks and activities that they use in the classroom, in order to bring about positive impact on students’ learning of mathematics.

324pp 978-981-3228-34-4

Readership: Graduate students, researchers, practitioners and teachers in mathematics.

Dec 2018 US$118

£105

288pp 978-981-3271-66-1

Jul 2018 US$98

£85

For more information, visit: www.worldscientific.com Series on Mathematics Education - Vol 13

K-12 Mathematics Education in Israel Issues and Innovations edited by Nitsa Movshovitz-Hadar (Technion – Israel Institute of Technology, Israel) The book provides the reader with a multifaceted picture of mathematics education in Israel, put into an international perspective where relevant.

It is intended to give an overview of a wide range of topics covering issues such as raising and maintaining motivation, search for excellence, treatment of difficulties, teacher education, language issues, minorities issues, curriculum changes over the first 70 years of the state of Israel, and many more. This includes aspects of research and practice into the teaching and learning of mathematics, innovation, developments, policy, achievements, and implementation with some international comparison as well.

Readership: General public, students, mathematics educators, researchers, educational policy makers.

460pp 978-981-3231-18-4

Apr 2018 US$162

£145

Logic in Wonderland An Introduction to Logic through Reading Alice’s Adventures in Wonderland

by Nitsa Movshovitz-Hadar (Technion - Israel Institute of Technology, Israel), Atara Shriki (Oranim Academic College of Education, Israel) Ordinary textbooks for such a course are purely mathematical in their nature, and students usually find the course difficult, boring and very technical. Our approach is likely to motivate the students through reading the classic novel Alice’s Adventures in Wonderland, and discussing quotes from that book as a trigger for developing basic notions in Logic. This guidebook includes the student’s worksheets with exemplary solutions, the background in elementary logic, and pedagogical comments. There is a student’s workbook that accompanies this guidebook which includes the student’s worksheets without solutions.

Readership: Professional college mathematics teachers, high school mathematics teachers and prospective teachers of high school mathematics.

WORLD SCIENTIFIC

Mathematical Olympiad Books World Century Mathematical Olympiad Series - Vol 2

Algebraic Inequalities In Mathematical Olympiad and Competitions

by Ji Chen (Ningbo University, China), Chaocheng Ji (Ningbo High School, China) The focus of this book is algebraic inequalities.

Not only is it the current Mathematical Olympiad hot topic, it is also the basis of geometric inequalities. In addition, the book involves some analysis on inequality. This book serves as a good reference in the field of algebraic inequalities as faced in problems found in a Mathematical Olympiad.

Readership: School students keen to learn more of mathematics and specifically mathematics related to the IMO; coaches and instructors of mathematical competitions.

200pp 978-1-938134-95-1 978-1-938134-92-0(pbk)

Oct 2019 US$68 US$38

£56 £32

Mathematical Olympiad Series - Vol 15

Mathematical Olympiad in China (2011 – 2014) Problems and Solutions edited by Bin Xiong (East China Normal University, China), Peng Yee Lee (NTU, Singapore) This book includes the problems and solutions of the most important mathematical competitions from 2010 to 2014 in China, such as China Mathematical Competition, China Mathematical Olympiad, China Girls’ Mathematical Olympiad. These problems are almost exclusively created by the experts who are engaged in mathematical competition teaching and researching. Some of the solutions are from national training team and national team members, their wonderful solutions being the feature of this book.

Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts.

368pp 978-981-3143-74-6 978-981-3142-93-0(pbk)

May 2018 US$78 US$38

£65 £32

OTHER MATHEMATICAL OLYMPIAD BOOKS A Central European Olympiad: The Mathematical Duel

Teacher’s Guidebook 332pp 978-981-3208-62-9 978-981-3209-81-7(pbk)

Nov 2018 US$98 US$48

£81 £40

Student’s Workbook 256pp 978-981-3208-67-4(pbk)

Nov 2018 US$38

£35

NOTABLE BACKLIST Motivating Mathematics David Wells (Fox & Howard Literary Agency, UK) How Chinese Learn Mathematics Fan Lianghuo (NTU, Singapore) et al.

Problem-Solving Strategies in Mathematics: From Common Approaches to Exemplary Strategies Alfred S Posamentier (Mercy College New York, USA), Stephen Krulik (Temple University, USA) Mathematics Problem-Solving Challenges for Secondary School Students and Beyond David Linker & Alan Sultan (City University of New York, USA)

Solving Problems in Geometry: Insights and Strategies for Mathematical Olympiad and Competitions Probability and Expectation: In Mathematical Olympiad and Competitions Combinatorial Extremization: In Mathematical Olympiad and Competitions Geometric Inequalities: In Mathematical Olympiad and Competitions Graph Theory: In Mathematical Olympiad and Competitions Methods and Techniques for Proving Inequalities: In Mathematical Olympiad and Competitions Problems of Number Theory in Mathematical Competitions Combinatorial Problems in Mathematical Competitions Mathematical Olympiad in China (2003-2014): Problems and Solutions Selected Problems of the Vietnamese Mathematical Olympiad (1962–2009) Lecture Notes on Mathematical Olympiad Courses: For Junior & Senior Section A First & Second Step to Mathematical Olympiad Problems

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Mathematics Catalogue 2020

Problem Solving in Mathematics and Beyond Engaging Young Students in Mathematics through Competitions — World Perspectives and Practices Volume I — Competition-ready Mathematics edited by Robert Geretschläger (BRG Kepler, Austria) This book contains a wide variety of fascinating mathematical problems of the type often presented at mathematics competitions as well as papers by an international group of authors involved in problem development, in which we can get a sense of how such problems are created in various specialized areas of competition mathematics as well as recreational mathematics. It is part of a 2-volume book which presents a wide scope of aspects relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment.

Readership: Students, teachers, and general public interested in math competition problems.

200pp 978-981-120-582-8 978-981-120-723-5(pbk)

Nov 2019 US$68 US$38

£60 £35

The Psychology of Problem Solving The Background to Successful Mathematics Thinking

A Problem-Solving Approach to Supporting Mathematics Instruction in Elementary School A Guide for Parents, Teachers, and Students

by Sheldon Rothman (Long Island University Post, USA) The book takes a problem-solving approach to learning elementary school mathematics and develops concepts by considering examples to uncover patterns. It includes both standard and non-standard problems and exercises, some of which are challenging while others are mainly for reinforcement. It is written in a relaxed style and includes amusing quotations as well as brief biographies and fun facts about the people who made these quotes.

Also included are interesting and surprising applications of mathematics.

Readership: Elementary school teachers, parents, and those in elementary education.

348pp 978-981-3274-81-5 978-981-3275-95-9(pbk)

Aug 2019 US$58 US$38

£50 £35

by Alfred S Posamentier (City University of New York, USA), Gary Kose (Long Island University, USA), Danielle Sauro Virgadamo (Kennedy Krieger Institute, USA) & Kathleen Keefe-Cooperman (Long Island University, USA)

Tools to Help Your Children Learn Math

The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of thought processes that help address certain problem-solving situations.

by Alfred S Posamentier (City University of New York, USA), Gavrielle Levine, Aaron Lieberman & Danielle Sauro Virgadamo (Long Island University, USA)

Readership: Students, researchers, and general public.

160pp 978-981-120-570-5

Oct 2019 US$68

£60

Solving Problems in Our Spatial World

by Guenter Maresch (University of Salzburg, Austria), Alfred S Posamentier (City University of New York, USA) Immerse yourself in the fascinating world of geometry and spatial ability either individually or in small groups, either as challenges or play problems! This is why you should use this book: Train and improve your spatial ability structurally! Problems address all subcomponents of spatial ability; Train spatial ability on all 3 levels in which we learn mathematics! Haptic, figurative, symbolic and mostly mental, or a combination; Store geometric objects with various characteristics in the brain! Enhances ability to solve geometric, spatial and mathematical tasks; Hours of fun! From the several thousand students and adults who worked with the problems, we know that it is fun solving these problems in various ways.

Readership: General public, educators and students interested in mathematical games & puzzles.

380pp 978-981-3278-03-5

Aug 2019 US$148

£130

NOTABLE BACKLIST A Central European Olympiad: The Mathematical Duel Teaching Children to Love Problem Solving: A Reference from Birth through Adulthood

Strategies, Curiosities, and Stories to Make Math Fun for Parents and Children

This book offers a wide variety of aspects related to the parent’s role as a support to their child’s learning of mathematics, and above all appreciation for the subject. This unique book provides parents the information they need about how mathematics is taught in today’s early grades. We then provide a plethora of ideas that can motivate children with information beyond that which is taught in the classroom.

Readership: Parents and teachers.

220pp 978-981-3271-42-5 978-981-3272-47-7(pbk)

May 2019 US$88 US$38

£75 £35

The Mathematics Coach Handbook

by Alfred S Posamentier (City University of New York, USA), Stephen Krulik (Temple University, USA) Many schools throughout the United States are now employing coaches to support teachers in the teaching of mathematics. Very often, these are professionals selected from the current teaching ranks who did not receive any special training to serve as a coach. This book provides the skills, knowledge, and lessons from experience that lead such a mentor to function effectively. Aside from describing the basic duties of an effective math coach, we also provide a plethora of resources to enrich instruction, improve problem-solving direction, and provide teachers with a wide variety of techniques to enhance their teaching effectiveness.

Readership: Math coaches, math teachers, school leaders.

184pp 978-981-3271-70-8

Dec 2018 US$48

£40

Strategy Games to Enhance Problem-Solving Ability in Mathematics

Problems for Metagrobologists: A Collection of Puzzles with Real Mathematical, Logical or Scientific Content

Mathematics Problem-Solving Challenges for Secondary School Students and Beyond

Problem-Solving Strategies in Mathematics: From Common Approaches to Exemplary Strategies

For more information, visit: www.worldscientific.com

WORLD SCIENTIFIC

PROBABILITY & STATISTICS Probability

Series on Multivariate Analysis - Vol 11

Theory, Problems, Simulations

by Hannelore Lisei (Babeş-Bolyai University, Romania), Wilfried Grecksch (Martin-Luther-University HalleWittenberg, Germany), Mihai Iancu (Babeş-Bolyai University, Romania) A key pedagogical feature of the textbook is the accessible approach to probability concepts through examples with explanations and problems with solutions. The reader is encouraged to simulate in Matlab random experiments and to explore the theoretical aspects of the probabilistic models behind the studied experiments. By this appropriate balance between simulations and rigorous mathematical approach, the reader can experience the excitement of comprehending basic concepts and can develop the intuitive thinking in solving problems.

Readership: Undergraduate and graduate students in mathematics, sciences, engineering and computer science.

320pp 978-981-120-573-6 978-981-120-719-8(pbk)

May 2020 US$98 US$58

£85 £50

Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore

Genealogies of Interacting Particle Systems

edited by Matthias Birkner (Johannes Gutenberg-Universität Mainz, Germany), Rongfeng Sun (National University of Singapore, Singapore) & Jan M Swart (The Czech Academy of Sciences, Czech Republic) Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology.

Written by respected researchers, including experts in the field such as Steve Evans, member of the US National Academy of Sciences, as well as Anton Wakolbinger, Andreas Greven, and many others, this volume will no doubt be a valuable contribution to the probability community.

Readership: Graduate students, university professors, researchers and professional mathematicians interested in probability theory, and models arising from population genetics.

350pp 978-981-120-608-5

Jan 2020 US$128

£115

Probability Theory An Elementary Course

by Zhengyan Lin, Zhonggen Su & Lixin Zhang (Zhejiang University, China) This volume introduces various concepts that quantitatively describe random phenomena, including probability, random variables, distribution functions, density functions, mathematical expectations, variance, moments, and characteristic functions. It finishes off by presenting probability limit theory, including various convergences. Practical examples to illustrate the introduced concept are always used. In order to meet the needs of different levels of readers, there is a section on Supplements and Notes at the end of each chapter to enhance and expand the content in the body of the textbook. This volume contains a large number of problems of varying levels for the reader with the purpose to review, consolidate, deepen and expand their knowledge.

Readership: Undergraduate and graduate students, and researchers interested in probability theory.

350pp 978-981-120-019-9

Feb 2020 US$98

£85

eTextbooks Available!

Digital resources made convenient for your students at a lower cost.

Linear Models and Regression with R An Integrated Approach

by Debasis Sengupta (Indian Statistical Institute, India), Sreenivasa Rao Jammalamadaka (University of California, Santa Barbara, USA) “... this book deserves attention from researchers and students in statistics as well as people who are applying linear models and wish to go deeper into parts of the theory. The broad scope of linear model topics covered by the book has a very well-written and unified presentation.”

Mathematical Reviews Readership: Researchers, graduates and undergraduates in statistics and applied mathematics.

772pp 978-981-120-040-3

Dec 2019 US$138

£120

Probability Models and Applications (Revised 2nd Edition)

by Ingram Olkin (Stanford University, USA), Leon J Gleser (University of Pittsburgh, USA), Cyrus Derman (Columbia University, USA) Written by renowned experts in the field, this textbook has as its unifying theme the role that probability models have had, and continue to have, in scientific and practical applications. It includes many examples, with actual data, of real-world use of probability models, while expositing the mathematical theory of probability at an introductory calculus-based level. Detailed descriptions of the properties and applications of probability models that have successfully modeled real phenomena are given, as well as an explanation of methods for testing goodness of fit of these models.

Readership: Undergraduates in probability models, concepts and applications.

734pp 978-981-3202-03-0 978-981-3202-04-7(pbk)

Sep 2019 US$158 US$78

£131 £65

Basic Probability What Every Math Student Should Know

by Henk Tijms (Vrije University, The Netherlands)

31

Written by international award-winning probability expert Henk Tijms, this book presents the essentials of elementary probability. In a highly accessible way, a modern treatment of the subject is given with emphasis on conditional probability and Bayesian probability, on striking applications of the Poisson distribution, and on the interface between probability and computer simulation. In modern society, it is important to be able to critically evaluate statements of a probabilistic nature presented in the media in order to make informed judgments. A basic knowledge of probability theory is indispensable to logical thinking and statistical literacy. The book provides this knowledge and illustrates it with numerous everyday situations.

Readership: High school, college and undergraduate students exposed to probability for the first time.

132pp 978-981-120-235-3 978-981-120-376-3(pbk)

Jun 2019 US$48 US$28

£40 £25

32

Mathematics Catalogue 2020

Robust Mixed Model Analysis

Estimations and Tests in Change-Point Models

by Jiming Jiang (University of California, Davis, USA)

Mixed-effects models have found broad applications in various fields. As a result, the interest in learning and using these models is rapidly growing. On the other hand, some of these models, such as the linear mixed models and generalized linear mixed models, are highly parametric, involving distributional assumptions that may not be satisfied in reallife problems. Therefore, it is important, from a practical standpoint, that the methods of inference about these models are robust to violation of model assumptions. This monograph provides a comprehensive account of methods of mixed model analysis that are robust in various aspects, such as to violation of model assumptions, or to outliers. It is suitable as a reference book for a practitioner who uses the mixed-effects models, and a researcher who studies these models. It can also be treated as a graduate text for a course on mixed-effects models and their applications.

Readership: Graduate students and researchers in statistics and biostatistics.

268pp 978-981-4733-83-0

Sep 2019 US$98

£85

Multifractional Stochastic Fields Wavelet Strategies in Multifractional Frameworks

by Antoine Ayache (Université de Lille, France) The book provides most of the required basic knowledge, for undertaking research works in the area Multifractional and Anisotropic Stochastic Fields. The book describes with precision a non standard strategy for finely studying path behavior of Multifractional and Anisotropic Stochastic Fields, and explain how it can be applied to some classical examples of Multifractional Fields. The book also discusses some topics concerning them which are not directly related to the wavelet strategy. The book is self-contained and unified in presentation.

Readership: Researchers in probability and statistics, real analysis and stochastic analysis.

236pp 978-981-4525-65-7

Nov 2018 US$118

£105

Random Processes First-Passage and Escape

by Jaume Masoliver (University of Barcelona, Spain) Random processes are one of the most powerful tools in the study and understanding of countless phenomena in natural and social sciences. The book is a complete medium-level introduction to the subject. The book is written in a clear and pedagogical manner but with enough rigor and scope that can appeal to both students and researchers. This book is addressed to advanced students and professional researchers in many branches of science where level crossings and extremes appear but with some particular emphasis on some applications in socio-economic systems.

Readership: Advanced students and professional researchers.

388pp 978-981-3225-31-2

Aug 2018 US$128

£113

by Odile Pons (INRA, National Institute for Agronomical Research, France) This book provides a detailed exposition of the specific properties of methods of estimation and test in a wide range of models with changes.

They include parametric and nonparametric models for samples, series, point processes and diffusion processes, with changes at the threshold of variables or at a time or an index of sampling. The book contains many new results and fills a gap in statistics literature, where the asymptotic properties of the estimators and test statistics in singular models are not sufficiently developed.

Readership: Graduate students and researchers in statistics, governmental laboratories and academia.

304pp 978-981-3231-76-4

Jul 2018 US$118

£104

Statistical Data Science

edited by Niall Adams & Edward Cohen (Imperial College London, UK) As an emerging discipline, data science broadly means different things across different areas.

Exploring the relationship of data science with statistics, a well-established and principled data-analytic discipline, this book provides insights about commonalities in approach, and differences in emphasis. Featuring chapters from established authors in both disciplines, the book also presents a number of applications and accompanying papers.

Readership: Statisticians, mathematicians, computer scientists, data scientists, application users of data science and statistics 192pp 978-1-78634-539-4

Jun 2018 US$88

£75

Nonconventional Limit Theorems and Random Dynamics

by Yeor Hafouta & Yuri Kifer (Hebrew University of Jerusalem, Israel)

The book is devoted to limit theorems for nonconventional sums and arrays. Asymptotic behavior of such sums were first studied in ergodic theory but recently it turned out that main limit theorems of probability theory, such as central, local and Poisson limit theorems can also be obtained for such expressions. In order to obtain sufficiently general local limit theorem, we develop also thermodynamic formalism type results for random complex operators, which is one of the novelties of the book.

Readership: Advanced graduate students and researchers in probability theory and stochastic processes and dynamical systems and ergodic theory.

300pp 978-981-3235-00-7

Jun 2018 US$98

£86

NOTABLE BACKLIST Extreme Value Distributions Samuel Kotz (The George Washington University, USA), Saralees Nadarajah (The University of Nottingham, UK) A First Look at Rigorous Probability Theory (2nd Edition) Jeffrey S Rosenthal (University of Toronto, Canada)

For more information, visit: www.worldscientific.com

WORLD SCIENTIFIC

POPULAR & RECREATIONAL MATHEMATICS The Alladi Diary Memoirs of Alladi Ramakrishnan edited by Krishnaswami Alladi (University of Florida, USA) This is a kaleidoscopic account of the remarkable life story of Alladi Ramakrishnan (1923 – 2008), an internationally reputed physicist. Part I gives a fascinating account of his early life in India.

Then follows the incredible saga of his creation of MATSCIENCE, The Institute of Mathematical Sciences in Madras, inspired by his visit to the Institute for Advanced Study in Princeton, and the result of a Theoretical Physics Seminar he organized, which received endorsement by Nobel Laureate Niels Bohr, and the support of India’s Prime Minister. Part II covers his term as Director of MATSCIENCE, and his visits to about 200 centres worldwide, where he interacted with leading scientists and lectured on his research in the fields of Probability, Stochastic Processes, Elementary Particle Physics, Matrix Theory, and on his novel treatment of Einstein’s Special Relativity.

Readership: General public.

652pp 978-981-120-287-2

Mar 2019 US$98

£85

Exploring Math and Computer Science

“Points, questions, stories, and occasional rants introduce the 24 chapters of this engaging volume. With a focus on mathematics and peppered with a scattering of computer science settings, the entries range from lightly humorous to curiously thought-provoking. Each chapter includes sections and sub-sections that illustrate and supplement the point at hand. Most topics are self-contained within each chapter, and a solid high school mathematics background is all that is needed to enjoy the discussions. There certainly is much to enjoy here.”

CHOICE Readership: Researchers in probability and statistics, real analysis and stochastic analysis. £60 £35

In the Search for Beauty

by Voldemar Smilga “Smilga not only offers a thorough account of the historical development of geometry from Euclid to Einstein, but does this in a very entertaining and enjoyable way. In his characteristic witty and engaged style, he describes the struggle of many outstanding mathematicians in Europe and in the Orient to grasp the significance of Euclid’s fifth postulate. It is amazing to follow the ensuing intellectual fights. The zeal with which Lobachevsky”s resolution of the problem was rejected by some of his contemporaries, for instance, shows that it was not easy to distinguish facts from beliefs even before the invention of the internet ... I highly recommend the book — it is a real pleasure to read.”

Heinrich Leutwyler (Albert Einstein Center for Fundamental Physics, Universität Bern) Readership: Researchers, lecturers, postgraduates, graduates and undergraduates in statistics and applied mathematics.

Jan 2019 US$78 US$38

In this book, the distinguished mathematician and physicist, Yvonne Choquet–Bruhat recounts and reflects upon various key events and people from her life. She recalls conversations, collaborations and even arguments with many great scientists, including her experiences with Albert Einstein.

At once reflective, enlightening and bittersweet, this book allows readers a look into the life and thought processes of an esteemed female academic.

Readership: Academics and students interested in the life of an accomplished mathematician and theoretical physicist.

364pp 978-981-3231-62-7

Jan 2018 US$88

£77

by Greg N Frederickson (Purdue University, USA) “It is a practical book that shows the beauty of dissection and how we can get from a polygon to another by cutting it to pieces and recollect them in some special way. The book is written in a very elegant style, and nicely presented.

Freese’s manuscript was photographed and wasn’t altered in any way — this preserved its beauty. Freese’s drawing shows ingenuity and it shows how meticulous he was. For those people who are interested in geometry or in geometric dissections and for those who admire puzzles and recreational mathematics this book is a must.”

Mathematical Association of America Readership: General public and math puzzle enthusiasts.

432pp 978-981-3220-46-1 978-981-3220-47-8(pbk)

Jan 2018 US$98 US$38

£81 £32

NOTABLE BACKLIST

Unravelling Non-Euclidean Geometry

248pp 978-981-3274-35-8 978-981-120-830-0(pbk)

“This book is a recollection of her long life and impressive career. Overall it is a delightful selfportrait of a remarkable woman.”

Mathematical Association of America

The Man, the Manuscript, the Magnificent Dissections!

by William Gasarch & Clyde Kruskal (University of Maryland, USA)

Apr 2019 US$68 US$38

by Yvonne Choquet – Bruhat (University Pierre et Marie Curie, France & French Academy of Sciences, France & American Academy of Arts and Sciences, USA)

Ernest Irving Freese’s Geometric Transformations

Problems with a Point

284pp 978-981-3279-72-8 978-981-3279-97-1(pbk)

A Lady Mathematician in this Strange Universe: Memoirs

£70 £35

The Power of Computational Thinking: Games, Magic and Puzzles to Help You Become a Computational Thinker Paul Curzon & Peter W McOwan (Queen Mary University of London, UK) Problems for Metagrobologists: A Collection of Puzzles with Real Mathematical, Logical or Scientific Content David Singmaster (University College London, UK) Mathematics, Poetry and Beauty Ron Aharoni (Technion, Haifa, Israel) The Magic Garden of George B and Other Logic Puzzles Raymond Smullyan Number Treasury3 Margaret J Kenney & Stanley J Bezuszka (Boston College, USA) Origamics: Mathematical Explorations Through Paper Folding Kazuo Haga (University of Tsukuba, Japan)

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Mathematics Catalogue 2020

KenKen: Math & Logic Puzzles That Will Make You Smarter!

Puzzle Books Series

KENKEN: A Puzzle A Day!

The Soma Puzzle Book

365 Puzzles That Make You Smarter

A New Approach to the Classic Pieces

edited by Robert Fuhrer (KenKen Puzzle LLC, USA)

by David Goodman, Ilan Garibi

Give your brain a treat with these fascinating puzzles starting today! You’ll find a KenKen puzzle for every day of the year in this book. That’s right — 365 puzzles, ranging in size from 4 x 4 to 9 x 9, and ranging in difficulty from easy to advanced levels! We’re hopeful that you will find time each day to indulge in just one intriguing puzzle. You’ll also discover three different types of KenKen puzzles: Traditional puzzles, which use the typical rules of KenKen; No-ops puzzles, in which there are no operations in the cages, only target numbers; Twist puzzles, which require you to use a different set of numbers to fill in the grid.

The Soma Cube is one of the most famous mechanical puzzles in the world. The traditional challenge is to build a cube or other structures from all seven pieces. The puzzles in this unique Soma-inspired collection are no longer predicated upon using all seven pieces at one time! By varying the number of pieces, there are many new and versatile puzzle challenges, from all types of recreational mathematics fields. There is something magical and enchanting in those seven pieces that enabled us to find many puzzles and challenges! It presents many geometrical and mathematical principles, and makes them easier to understand without any special knowledge.

Readership: KenKen Puzzle enthusiasts and all those who like to solve math puzzles.

340pp 978-981-3236-68-4 978-981-3235-87-8(pbk)

Jan 2020 US$48 US$14

£42 £12

KENKEN: Lim-Ops, No-Ops and Twist!

180 6 x 6 Puzzles That Make You Smarter edited by Robert Fuhrer (KenKen Puzzle LLC, USA) Hours of Fun, Frustration and Ultimate Satisfaction! This book will challenge seasoned KenKen players, enhance their solving techniques, and provide hours of fun puzzle play and brain training.

New Rules Introduced: Limited-operations puzzles, where puzzles may contain only addition, only subtraction, or a mix of addition and subtraction.

None will contain multiplication or division; No-operations puzzles, where puzzles will use all four operations including multiplication and division.

And a BRAND NEW puzzle, Twist puzzles where instead of using 1 to 6 for a 6 x 6 puzzle as you do in regular KENKEN, you’ll use a different candidate set each time.

Readership: KenKen Puzzle Enthusiasts at the Intermediate and Advanced Level. Good for all ages!

160pp 978-981-3236-67-7 978-981-3235-84-7(pbk)

Jan 2020 US$38 US$9

£33 £8

The KENKEN Method — Puzzles for Beginners

Readership: Puzzle and riddle lovers.

180pp 978-981-3275-31-7 978-981-3275-94-2(pbk)

May 2019 US$48 US$28

£40 £25

The Tangram Puzzle Book A New Approach to the Classic Pieces

by David Goodman, Ilan Garibi Tangram is one of the oldest types of dissection puzzles in the world. It traditionally requires the participant to arrange seven pieces (or “tans”) into a shape just by looking at the given silhouette. The puzzles in this unique book are fresh, innovative and compelling. The puzzle pieces are building units for puzzles that boost mental dexterity with a variety of challenges from various fields of recreational mathematics. Come on and play with symmetry puzzles, cover-up puzzles and self-similarity puzzles to increase your skill and mental acuity!

Readership: Puzzle and riddle lovers.

164pp 978-981-3234-00-0 978-981-3235-20-5(pbk)

Jul 2018 US$48 US$28

£40 £25

150 Puzzles and Solutions to Make You Smarter

The Paper Puzzle Book

edited by Robert Fuhrer (KenKen Puzzle Company)

by Ilan Garibi, David Goodman & Yossi Elran

KenKen is the world’s fastest growing puzzle since sudoku. Originally intended to improve reasoning, creativity, concentration, and perseverance, this simple yet sophisticated puzzle has since expanded beyond the classroom into a global sensation. KenKen can be found daily in The New York Times and is now available in over 200 publications worldwide.

Unlimited KenKen puzzles can be accessed on www.kenkenpuzzle.com and can also be played on mobile devices via the KenKen Classic app. It is supported by the National Council of Teachers of Mathematics (NCTM), the world’s largest math education organization, and is used by over 30,000 educators worldwide.

“This is a marvellous book. The diversity of possible puzzles that can be given with these very limited resources, which are basically some paper and scissors, is overwhelming, and the challenges are sometimes very tough. Even the two-star problems may be hard for an untrained puzzler. This is medicine against boredom on long rainy days, but be careful not to get addicted or it may suck up your less empty and sunny days as well.”

European Mathematical Society

Readership: General public who like to solve puzzles.

264pp 978-981-3202-40-5 978-981-3202-41-2(pbk)

128pp 978-981-3232-55-6(pbk)

Feb 2018 US$9

All You Need is Paper!

£8

Readership: Puzzle and riddle lovers, and origami enthusiasts.

Mar 2018 US$48 US$28

£42 £25

For more information, visit: www.worldscientific.com

WORLD SCIENTIFIC

Proceedings TITLE SINGULARITIES - KAGOSHIMA 2017: PROCEEDINGS OF THE 5TH FRANCOJAPANESE-VIETNAMESE SYMPOSIUM ON SINGULARITIES PROCEEDINGS OF THE 6TH INTERNATIONAL COLLOQUIUM ON DIFFERENTIAL GEOMETRY AND ITS RELATED FIELDS

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128

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09-May-19

9784864970570

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9789813272873

850

750

ALGEBRAIC AND GEOMETRIC COMBINATORICS ON LATTICE POLYTOPES PROCEEDINGS OF THE SUMMER WORKSHOP ON LATTICE POLYTOPES

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85

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9784864970525

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60

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KONNO HITOSHI, SAKAI HIDETAKA, SHIRAISHI JUNICHI, SUZUKI TAKAO & YAMADA YASUHIKO

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9784864970501

96

85

MATHEMATICAL PHYSICS - PROCEEDINGS OF THE 14TH REGIONAL CONFERENCE

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9789813224964

178

157

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27-Dec-17

9784864970488

80

70

AUTHOR

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£

GEOMETRY OF SPHERICAL SPACE FORM GROUPS, THE (SECOND EDITION)

GILKEY PETER B

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9789813220782

148

123

NUMBER THEORY AND ITS APPLICATIONS II

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2018 Frontlist TITLE

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158

139

RESONANCE AND BIFURCATION TO CHAOS IN PENDULUM

LUO ALBERT C J

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PROCEEDINGS OF THE

WORLD’S LARGEST & MOST PRESTIGIOUS EVENT IN MATHEMATICS

INTERNATIONAL CONGRESS OF MATHEMATICIANS 2018 Mar 2019 | 978-981-3272-87-3 (Set) | US$850 £750

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Mathematics Catalogue 2020

JOURNALS Algebra & Related Topics

Algebra Colloquium (AC)

International Journal Of Number Theory (IJNT)

Print ISSN: 1005-3867 http://www.worldscientific.com/ac

Print / Online ISSN: 1793-0421 / 1793-7310 http://www.worldscientific.com/ijnt

This is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.

Editor-in-Chief Chongying Dong, University of California, Santa Cruz, USA Managing Editor Zhongming Tang, Suzhou University, China

Discrete Mathematics, Algorithms and Applications (DMAA) Print / Online ISSN: 1793-8309 / 1793-8317 http://www.worldscientific.com/dmaa The aim of this journal is to advance and promote the theory and applications of discrete mathematics, which is a research area in mathematics with applications in computer science, industrial engineering, bio-informatics, chemistry and communication networks.

The journal encourages contributions from the two important parts of discrete mathematics, graph theory and combinatorics. The former includes structural graph theory, extremal graph theory, algebraic graph theory, random graphs and internet graphs. The latter consists of combinatorial design, combinatorial enumeration, coding theory, combinatorial probabilistic method, etc.

Co-Editors-in-Chief Ding-Zhu Du, University of Texas, Dallas, USA Jinlong Shu, East China Normal University, China

International Journal of Algebra and Computation (IJAC) Print / Online ISSN: 0218-1967 / 1793-6500 http://www.worldscientific.com/ijac This journal publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.

Managing Editor Benjamin Steinberg, City College of New York, USA Founding Editor and Honorary Editor-in-Chief John Rhodes, Univ. of California, Berkeley, USA

This journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.

Managing Editors Yuri Bilu, UniversitĂŠ de Bordeaux and CNRS, France Michael Filaseta, University of South Carolina, USA R. Sujatha, The University of British Columbia, Canada Founding Editor Bruce Berndt, University of Illinois at Urbana-Champaign, USA

Journal of Algebra and Its Applications (JAA) Print / Online ISSN: 0219-4988 / 1793-6829 http://www.worldscientific.com/jaa This journal publishes papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic subdiscipline will be considered.

Executive Editors S K Jain, Ohio University, USA and King Abdulaziz University, Saudi Arabia S R LĂłpez-Permouth, Ohio University, USA

Random Matrices: Theory and Applications (RMTA) Print / Online ISSN: 2010-3263 / 2010-3271 http://www.worldscientific.com/rmta This journal publishes high quality papers on all aspects regarding random matrices, both theory and applications. These areas will include, but not be limited to, spectral theory, new ensembles (those not generally considered in classical random matrix theory), and applications to a wide variety of areas, including high dimensional data analysis, wireless communications, finance, and economics. Only papers that contain original, innovative and correct results, which deepen our understanding on the theory of random matrices and its applications, will be considered for publications.

Editors-in-Chief Zhidong Bai (Founding Editor), Northeast Normal University, China Yang Chen (Founding Editor), University of Macau, China Wang Zhou, National University of Singapore, Singapore

For more information, visit: www.worldscientific.com

Applied Mathematics

Infinite Dimensional Analysis, Quantum Probability and Related Topics (IDAQP) Print / Online ISSN: 0219-0257 / 1793-6306 http://www.worldscientific.com/idaqp

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Differential & Integral Equations

Mathematical Analysis

Open Systems & Information Dynamics (OSID) Print / Online ISSN: 1230-1612 / 1793-7191 http://www.worldscientific.com/osid

In the past few years the fields of infinite dimensional analysis and quantum probability have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. The number of first-class papers in these fields has grown at the same rate. This is currently the only journal which is devoted to these fields.

The aim of this journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.

Managing Editor L Accardi, Università di Roma Tor Vergata, Italy

Editor-in-Chief D. Chrušciński, Nicolaus Copernicus University, Poland

Founding Editor T Hida, Nagoya University and Meijo University, Japan

International Journal of Wavelets, Multiresolution and Information Processing (IJWMIP) Print / Online ISSN: 0219-6913 / 1793-690X http://www.worldscientific.com/ijwmip This journal considers the current state-of-the-art theories of wavelet analysis, multiresolution and information processing as well as their applications. This journal aims at publishing papers in both the theories and applications, concentrating on the practical applications of the wavelets, multiresolution and information processing to all areas in science and engineering.

Editor-in-Chief Yuan Y Tang, Chengdu University and University of Macau, China Managing Editor Luoqing Li, Hubei University, China

Impact Factor: 3.142 Ranked 12th in Applied Mathematics Mathematical Models and Methods in Applied Sciences (M3AS) Print / Online ISSN: 0218-2025 / 1793-6314 http://www.worldscientific.com/m3as The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems.

Editors Nicola Bellomo, Politecnico di Torino, Italy Franco Brezzi, IMATI - CNR, Italy

International Journal of Mathematics for Industry (IJMI) Print / Online ISSN: 2661-3352 / 2661-3344 https://www.worldscientific.com/ijmi This journal is dedicated to enhancing the interaction between mathematics and industrial applications as a two-way process. It publishes original research articles that illustrate how, through the utilization of mathematical results, questions about industrial problems including various scientific questions potentially connected to industrial problems are answered to yield new insight for both industry and mathematics.

Editor-in-Chief Masato Wakayama, Kyushu University, Japan

Impact Factor: 1.231 Ranked within Quartile 1 in Mathematics Analysis and Applications (AA) Print / Online ISSN: 0219-5305 / 1793-6861 http://www.worldscientific.com/aa This journal publishes high quality mathematical papers that treat those parts of analysis which have direct or potential applications to the physical and biological sciences and engineering. Some of the topics from analysis include approximation theory, asymptotic analysis, calculus of variations, integral equations, integral transforms, ordinary and partial differential equations, delay differential equations, and perturbation methods. The primary aim of the journal is to encourage the development of new techniques and results in applied analysis.

Editors-in-Chief Ding-Xuan Zhou, City University of Hong Kong, Hong Kong Honorary Editors-in-Chief Philippe G Ciarlet, City University of Hong Kong, Hong Kong Roderick S C Wong, City University of Hong Kong, Hong Kong

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Mathematics Catalogue 2020

JOURNALS General Mathematics

Asian-European Journal of Mathematics (AEJM) Print / Online ISSN: 1793-5571 / 1793-7183 http://www.worldscientific.com/aejm This is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics.

Honorary Chief Editor Wu Wentsun, Chinese Academy of Sciences, China Chief Editor K P Shum, Yunnan University, China Managing Editor Jörg Koppitz, Universität Potsdam, Germany

Impact Factor: 1.714 Ranked 25th in Mathematics Bulletin of Mathematical Sciences (BMS) Print / Online ISSN: 1664-3607 / 1664-3615 http://www.worldscientific.com/bms This peer-reviewed and open access journal will publish original research work of highest quality and of broad interest in all branches of mathematical sciences. It publishes well-written expository articles of exceptional value giving the latest state of the art on a specific topic, and short articles containing significant results of wider interest. It is launched by King Abdulaziz University, Jeddah, Saudi Arabia.

Mathematical Biology

Mathematical Logic & Foundations

Impact Factor : 1.394 Top 50 in Mathematics Communications in Contemporary Mathematics (CCM) Print / Online ISSN: 0219-1997 / 1793-6683 http://www.worldscientific.com/ccm With traditional boundaries between various specialized fields of mathematics becoming less and less visible, Communications in Contemporary Mathematics (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.

Editors-in-Chief Haïm Brezis, Rutgers University, USA Yi-Zhi Huang, Rutgers University, USA

International Journal of Biomathematics (IJB) Print / Online ISSN: 1793-5245 / 1793-7159 http://www.worldscientific.com/ijb The goal of this journal is to present the latest achievements in biomathematics, facilitate international academic exchanges and promote the development of biomathematics. Its research fields include mathematical ecology, infectious disease dynamical system, biostatistics and bioinformatics.

Editor-in-Chief Lansun Chen, Academy of Mathematics and System Sciences, Academia Sinica, and Xinyang Normal University, China

Executive Editors and Editors-in-Chief Efim Zelmanov, University of California, San Diego, USA S. K. Jain, King Abdulaziz University, Saudi Arabia and Ohio University, USA Ahmed Alsaedi, King Abdulaziz University, Saudi Arabia

Journal of Mathematical Logic (JML)

International Journal of Mathematics (IJM)

Print / Online ISSN: 0219-0613 / 1793-6691 http://www.worldscientific.com/jml

Print / Online ISSN: 0129-167X / 1793-6519 http://www.worldscientific.com/ijm The International Journal of Mathematics publishes original research papers of high quality in all topics of pure mathematics. The journal has been published monthly. The first issue appeared in March 1990.

Founding Advisor S S Chern, Chern Institute of Mathematics, Nankai University, China Chair Yasuyuki Kawahigashi, University of Tokyo, Japan

One of the Top Journals

This journal provides an important forum for the communication of original contributions in all areas of mathematical logic and its applications. It aims at publishing papers at the highest level of mathematical creativity and sophistication. JML intends to represent the most important and innovative developments in the subject.

Managing Editors Chitat Chong, National University of Singapore Qi Feng, Chinese Academy of Sciences, China Theodore A Slaman, University of California, Berkeley, USA W Hugh Woodin, Harvard University, USA

For more information, visit: www.worldscientific.com

Geometry & Topology

International Journal of Geometric Methods in Modern Physics (IJGMMP) Print / Online ISSN: 0219-8878 / 1793-6977 http://www.worldscientific.com/ijgmmp This journal publishes short communications, research and review articles devoted to all applications of geometric methods (including commutative and non-commutative Differential Geometry, Riemannian Geometry, Finsler Geometry, Complex Geometry, Lie Groups and Lie Algebras, Bundle Theory, Homology an Cohomology, Algebraic Geometry, Global Analysis, Category Theory, Operator Algebra and Topology) in all fields of Mathematical and Theoretical Physics.

Managing Editor Salvatore Capozziello, Università Di Napoli “Federico II”, Italy

First & Only Journal in Knot Theory

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Mathematical Physics

Reviews in Mathematical Physics (RMP) Print / Online ISSN: 0129-055X / 1793-6659 http://www.worldscientific.com/rmp This journal fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers - introductory and survey papers - are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics.

Founding Editor Huzihiro Araki, Kyoto University, Japan Editors-in-Chief Jacob Schach Møller, Aarhus University, Denmark Antti Niemi, Stockholm University, Sweden

Stochastics and Dynamics (SD) Journal of Knot Theory and Its Ramifications (JKTR) Print / Online ISSN: 0218-2165 / 1793-6527 http://www.worldscientific.com/jktr This Journal is intended as a forum for new developments in knot theory, particularly developments that create connections between knot theory and other aspects of mathematics and natural science. The stance is interdisciplinary due to the nature of the subject. Papers include new research in the theory of knots and links, and their applications; new researches in related fields; tutorial and review papers, etc.

Editor-in-Chief L H Kauffman, University of Illinois, Chicago, USA Managing Editors C Adams, Williams College, USA S Gukov, California Institute of Technology, USA S Kamada, Osaka University, Japan V. O. Manturov, Bauman Moscow State Technical University, Russia J. H. Przytycki, George Washington Univ., USA

Journal of Topology and Analysis (JTA) Print / Online ISSN: 1793-5253 / 1793-7167 http://www.worldscientific.com/jta This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.

Managing Editors Shmuel Weinberger, University of Chicago, USA Guoliang Yu, Texas A&M University, USA

Print / Online ISSN: 0219-4937 / 1793-6799 http://www.worldscientific.com/sd This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system’s point of view.

Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.

Editor-in-Chief Manfred Denker, Penn State University, USA Managing Editor Jinqiao Duan, Illinois Institute of Technology, USA

Journal of Hyperbolic Differential Equations (JHDE) Print / Online ISSN: 0219-8916 / 1793-6993 http://www.worldscientific.com/jhde This journal publishes original research papers on nonlinear hyperbolic problems and related topics, of mathematical and/or physical interest. Specifically, it invites papers on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics.

Editor-in-Chief Philippe G LeFloch, Université Pierre et Marie Curie (Paris 6), France Co-Editor Jian-Guo Liu, Duke University, USA

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Mathematics Catalogue 2020

Title Index

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Tick the titles and email to mkt@wspc.com to recommend to your librarian.

Contents A Bridge to Linear Algebra ......................................................................................................5 Abstract Duality Pairs in Analysis ..........................................................................................16 A Course in Analysis ...............................................................................................................9 Advanced Mathematical and Computational Tools in Metrology and Testing XI ....................22 A Guide to Lie Systems with Compatible Geometric Structures ............................................12 A Guide to Mathematical Methods for Physicists ..................................................................24 A Lady Mathematician in this Strange Universe: Memoirs.....................................................33 Algebraic Inequalities ...........................................................................................................29 A Mathematical Modeling Approach to Infectious Diseases ..................................................17 A Mathematics Primer for Physics Students ...........................................................................23 Analysis on Fock Spaces and Mathematical Theory of Quantum Fields .................................26 A New Method of Constructing Brakke’s Motion ..................................................................27 An Introduction to Differential Equations with Applications ....................................................8 An Introduction to Mathematical Billiards ............................................................................11 An Introduction to Numerical Computation (2nd Edition) .....................................................22 An Introduction to Second Order Partial Differential Equations .............................................10 An Introduction to the Geometrical Analysis of Vector Fields ................................................13 An Operator Theory Problem Book .........................................................................................9 A Problem-Solving Approach to Supporting Mathematics Instruction in Elementary School ..30 Arc Schemes and Singularities ..............................................................................................13 A Walk Through Weak Hyperstructures...................................................................................5 Basic Probability...................................................................................................................31 Beyond the Triangle ..............................................................................................................10 Big Ideas in Mathematics ......................................................................................................28 Board Games..........................................................................................................................7 Category Theory and Applications ..........................................................................................6 Chaos in Nature (2nd Edition)...............................................................................................11 Clifford Algebras and Zeons....................................................................................................4 Computing with Incomplete Information ................................................................................7 Conformal Maps and Geometry............................................................................................15 Continuous and Discontinuous Piecewise-Smooth One-Dimensional Maps .........................11 Control and Inverse Problems for Partial Differential Equations ...............................................8 Copositive Matrices and Completely Positive Matrices............................................................4 Derived Functors and Sheaf Cohomology ...............................................................................4 Derived Langlands ..................................................................................................................5 Dialogues Around Models and Uncertainty ..........................................................................18 Difference Equations for Scientists and Engineering ................................................................8 Differential Forms .................................................................................................................13 Differential Geometrical Foundations of Information Geometry ............................................12 Economics, Game Theory and International Environmental Agreements ...............................20 Elegant Fractals .....................................................................................................................14 Elementary Mechanics (In 2 Volumes)...................................................................................24 Emergence of the Quantum from the Classical .....................................................................27 Engaging Young Students in Mathematics through Competitions — World Perspectives and Practices ...............................................................................................................................30 Ernest Irving Freese’s Geometric Transformations ..................................................................33 Estimations and Tests in Change-Point Models ......................................................................32 Explorations in Numerical Analysis.......................................................................................22 Exploring Scale Symmetry ....................................................................................................12 Fractalize That! .....................................................................................................................13 Fractional Calculus (3rd Edition) ...........................................................................................25 Fractional Calculus and Waves in Linear Viscoelasticity (2nd Edition) ...................................18 Fractional Kinetics in Space ..................................................................................................19 Fractional Quantum Mechanics ............................................................................................25 Frequency-Domain Approach to Hopf Bifurcation Analysis ..................................................11 Frontiers in Orthogonal Polynomials and q-Series .................................................................10 Functional Interpretations .....................................................................................................21 Galois Theory and Applications ..............................................................................................6 Genealogies of Interacting Particle Systems...........................................................................31 Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases (2nd Edition) ..26 Geometry of Biharmonic Mappings ......................................................................................13 Grammar of Complexity .......................................................................................................19 Gröbner – Shirshov Bases .......................................................................................................7 Group Theory for Physicists (2nd Edition)..............................................................................24 Handbook of Financial Econometrics, Mathematics, Statistics, and Machine Learning (In 4 Volumes) ......................................................................................................................20 Handbook of Heavy-Tailed Distributions in Asset Management and Risk Management ........20 Harmonic Analysis and Wave Equations ...............................................................................15 Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions ...........................9 High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion .....18 High Dimensional Knotting ..................................................................................................12 Higher Dimensional Categories ..............................................................................................5 How to Derive a Formula .....................................................................................................24 How to Measure the Infinite .................................................................................................21 Infinite Group Theory .............................................................................................................6 Integrating Computers and Problem Posing in Mathematics Teacher Education .....................28 Integration for Calculus, Analysis, and Differential Equations................................................16 In the Search for Beauty .......................................................................................................33 Introduction to Number Theory ..............................................................................................6 K-12 Mathematics Education in Israel ...................................................................................29 KENKEN: A Puzzle A Day!....................................................................................................34 KENKEN: Lim-Ops, No-Ops and Twist!.................................................................................34 KenKen: Math & Logic Puzzles That Will Make You Smarter! ................................................34 Kurzweil – Stieltjes Integral ...................................................................................................15 Langevin and Fokker – Planck Equations and their Generalizations ......................................26 Lectures of David Olive on Gauge Theories and Lie Algebras ...............................................23 Lectures on Convex Sets (2nd Edition) ..................................................................................12 Lectures on Functional Analysis and Applications (2nd Edition) ............................................15 Linear Algebra and its Applications .........................................................................................5 Linear Algebra and Optimization with Applications to Machine Learning ...............................4 Linear Mathematical Models in Chemical Engineering (2nd Edition).....................................19 Linear Models and Regression with R ...................................................................................31 Lipschitz Algebras (2nd Edition) ............................................................................................16 Logic in Wonderland ............................................................................................................29 Ludwig Faddeev Memorial Volume .......................................................................................25 Mathematical Foundations of Quantum Field Theory ............................................................23

Mathematical Music Theory..................................................................................................18 Mathematical Olympiad in China (2011 – 2014) ..................................................................29 Mathematical Outreach ........................................................................................................28 Mathematical Population Genetics and Evolution of Bacterial Cooperation ..........................17 Mathematics Almost Everywhere ..........................................................................................22 Mathematics and its Teaching in the Asia-Pacific Region .......................................................28 Mathematics for Physics .......................................................................................................26 Mathematics Instruction: Goals, Tasks and Activities .............................................................28 Mathematics of Harmony as a New Interdisciplinary Direction of Modern Science ................4 Mathematics of Shapes and Applications ..............................................................................12 Matrix Calculus, Kronecker Product and Tensor Product (3rd Edition) .....................................5 Matrix Methods and Fractional Calculus ...............................................................................10 Maxwell Equation.................................................................................................................25 Metric in Measure Spaces .....................................................................................................15 Minimal Submanifolds and Related Topics (2nd Edition) .......................................................14 Morse Theory, Gradient Flows, Concavity and Complexity on Manifolds with Boundary ......13 Multifractional Stochastic Fields ...........................................................................................32 Noncommutative Cosmology ...............................................................................................26 Nonconventional Limit Theorems and Random Dynamics ....................................................32 Nonlinear Algebra in an ACORN ..........................................................................................27 Nonlinear Waves ....................................................................................................................9 Notes on the Binomial Transform ............................................................................................6 Numerical and Symbolic Computations of Generalized Inverses ..........................................19 Numerical PDE Analysis of the Blood Brain Barrier ..............................................................17 On Complementarity ............................................................................................................23 One-Dimensional Hyperbolic Conservation Laws and Their Applications ...............................8 Optimization Theory.............................................................................................................27 Ordinary Differential Equations and Boundary Value Problems...............................................9 Ordinary Differential Equations and Boundary Value Problems...............................................9 Other Mathematical Olympiad books...................................................................................29 Other Titles in this Series.......................................................................................................30 Partial Differential Equations (2nd Edition) ..............................................................................8 Philosophy and Methodology of Information ..........................................................................7 Principles and Techniques in Combinatorics (Solutions Manual) .............................................7 Probability ............................................................................................................................31 Probability Models and Applications (Revised 2nd Edition)...................................................31 Probability Theory ................................................................................................................31 Problems with a Point ...........................................................................................................33 Proof and Computation ........................................................................................................22 Puzzle Books Series ..............................................................................................................34 Quantized Number Theory, Fractal Strings and the Riemann Hypothesis ..............................11 Quantum Field Theory, Quantum Physics and Micro-Macro Duality.....................................23 Quantum Systems and Finite Approximations .......................................................................23 Quantum Techniques in Stochastic Mechanics .....................................................................26 Random Processes ...............................................................................................................32 Risk and Stochastics .............................................................................................................20 Robust Mixed Model Analysis...............................................................................................32 Scattering by Obstacles and Potentials ..................................................................................27 Selected Papers of Weiyue Ding ...........................................................................................10 Set Theory and Foundations of Mathematics: An Introduction to Mathematical Logic ...........21 Solving Problems in Our Spatial World.................................................................................30 Statistical Data Science.........................................................................................................32 Stochastic Models in the Life Sciences and Their Methods of Analysis ..................................17 Stochastic PDEs and Modelling of Multiscale Complex System...............................................8 The Alladi Diary ...................................................................................................................33 The Fractional Laplacian .......................................................................................................15 The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles .............................14 The KENKEN Method — Puzzles for Beginners ....................................................................34 The Linearised Dam-Break Problem......................................................................................24 The Mathematics Coach Handbook ......................................................................................30 The Mereon Matrix ...............................................................................................................14 Theoretical and Mathematical Physics ..................................................................................25 Theoretical and Practical Pedagogy of Mathematical Music Theory ......................................28 Theoretical Information Studies ..............................................................................................7 Theory of Groups and Symmetries ........................................................................................25 The Paper Puzzle Book ........................................................................................................34 The Psychology of Problem Solving ......................................................................................30 The Soma Puzzle Book .........................................................................................................34 The Tangram Puzzle Book.....................................................................................................34 Time Series Econometrics (In 2 Volumes) ..............................................................................20 Tools to Help Your Children Learn Math ...............................................................................30 Topology and Physics ...........................................................................................................24 Unravelling Complexity ........................................................................................................21 Weighted Inequalities Involving ρ-quasiconcave Operators ..................................................16 Weight Representations ..........................................................................................................4 Zeta Functions of Reductive Groups and Their Zeros ............................................................14

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Author Index Abramovich Sergei ................................ 28 Adams Niall M ...................................... 32 Alladi Krishnaswami .............................. 33 Arai Asao ............................................... 26 Aranson Samuil ....................................... 4 Araujo Javier De Lucas .......................... 12 Atanasiu Dragu........................................ 5 Avrin Jack .............................................. 23 Avrutin Viktor ........................................ 11 Ayache Antoine ..................................... 32 Ayad Mohamed ....................................... 6 Baez John C........................................... 26 Baginski Paul ........................................... 6 Bakken Erik Makino............................... 23 Bao Gang ................................................ 8 Barrieu Pauline ................................ 18, 20 Beliaev Dmitry ...................................... 15 Bellow Alexandra .................................. 22 Benci Vieri ............................................. 21 Berman Abraham..................................... 4 Biagi Stefano ......................................... 13 Biamonte Jacob D ................................. 26 Bianchi Michele Leonardo ..................... 20 Birkner Matthias .................................... 31 Blechman Andrew E .............................. 23 Bokut Leonid ........................................... 7 Bonfiglioli Andrea.................................. 13 Bourqui David ....................................... 13 Boyadzhiev Khristo N .............................. 6 Bruzzo Ugo ............................................. 4 Burgin Mark ............................................ 7 Calude Cristian S ................................... 22 Cenzer Douglas ..................................... 21 Chen Guanrong ..................................... 11 Chen Ji .................................................. 29 Chen Wenxiong..................................... 15 Chen Xiaopeng ........................................ 8 Chen Yuqun ............................................. 7 Choquet-Bruhat Yvonne......................... 33 Chua Boon Liang ................................... 28 Chunovkina Anna G .............................. 22 Cioranescu Doina.................................. 10 Cohen Ed............................................... 32 Cohen Harold.......................................... 8 Cooper S Barry ........................................ 7 Coron Jean-Michel ............................ 8, 15 Davvaz Bijan ........................................... 5 De Gosson Maurice A ........................... 27 Deng Weihua ........................................ 18 Dennis Lynnclaire .................................. 14 Derman Cyrus ....................................... 31 Di Nasso Mauro .................................... 21 Digernes Trond ...................................... 23 Diller Justus ........................................... 21 Dodig-Crnkovic Gordana ........................ 7 Donato Patrizia ...................................... 10 Doria Francisco Antonio ........................ 21 Eichstadt Sascha .................................... 22 Elran Yossi.............................................. 34 Evans Kristian P ....................................... 9 Evans William Desmond........................ 16 Fabozzi Frank J ...................................... 20 Faure Sylvain ......................................... 19 Fine Benjamin ......................................... 6 Focardi Sergio........................................ 20 Foo Kean Pew .......................................... 7 Forbes Alistair B ..................................... 22 Frederickson Greg N.............................. 33 Fring Andreas ........................................ 23 Fuhrer Robert ........................................ 34 Gaglione Anthony ................................... 6 Gallier Jean H.......................................... 4 Gallup Daniel.......................................... 8 Gardini Laura ........................................ 11 Garibi Ilan ............................................. 34 Gasarch William .................................... 33 Ge Mo-Lin ....................................... 24, 25 Gentile Franco Sebastian ....................... 11 Geretschlager Robert ............................. 30 Ghista Dhanjoo N ................................. 17 Gleser Leon J ......................................... 31 Gogatishvili Amiran ............................... 16 Gomez Francisco................................... 28 Goodman David Hillel .......................... 34 Graef John R ............................................ 9 Grandis Marco .................................... 5, 6 Grantcharov Dimitar................................ 4 Grecksch Wilfried .................................. 31 Guillemin Victor .................................... 13 Hafouta Yeor .......................................... 32 Hahn Marjorie ....................................... 10 Haine Peter............................................ 13

Hardy Yorick ............................................ 5 Hattori Harumi ........................................ 8 Haubold Hans J ..................................... 10 He Yang-Hui .......................................... 24 Henderson Johnny L ................................ 9 Herichi Hafedh...................................... 11 Herrmann Richard ................................. 25 Hill Richard Michael ............................... 6 Hjortso Martin Aksel .............................. 19 Horihata Kazuhiro ................................. 27 Hosel Volker .......................................... 17 Iancu Mihai ........................................... 31 Isaev Alexey P ....................................... 25 Isozaki Hiroshi ...................................... 25 Jacob Niels .............................................. 9 Jammalamadaka S Rao .......................... 31 Ji Chaocheng ......................................... 29 Jiang Jiming ........................................... 32 Kalorkoti Kyriakos.................................... 7 Katz Gabriel .......................................... 13 Kauffman Louis H .................................. 14 Keefe-Cooperman Kathleen ................... 30 Keenan Edward L ................................... 21 Kifer Yuri ................................................ 32 Kobayashi Kei ........................................ 10 Kong Lingju ............................................. 9 Kornyshev Alexei A................................ 24 Kose Gary .............................................. 30 Krulik Stephen ....................................... 30 Kruskal Clyde ........................................ 33 Kushnarev Sergey .................................. 12 Kuttler Christina ..................................... 17 Kwok Sau Fa .......................................... 26 Kyppo Jorma ............................................ 7 Lambers James V.................................... 22 Lapidus Michel L ................................... 11 Larson Jean ............................................ 21 Laskin Nick ........................................... 25 Leach John Andrew ............................... 24 Lee Alice C ............................................ 20 Lee Cheng-Few ...................................... 20 Lee Dominic J O'................................... 24 Lee John C ............................................. 20 Lee Martin J ........................................... 27 Lee Peng Yee.......................................... 29 Letellier Christophe ............................... 11 Levine Gavrielle .................................... 30 Li Ta-Tsien ......................................... 8, 15 Li Xin..................................................... 10 Li Yachun ................................................. 8 Li Yan..................................................... 15 Lin Simon Mingyan ................................. 7 Lin Zhengyan ........................................ 31 Lisei Hannelore ..................................... 31 Liu Jixing ............................................... 26 Liu Sherry Xueyan ................................... 9 Lowe Thomas ........................................ 12 Lv Yan ...................................................... 8 Ma Pei ................................................... 15 Ma Zhong-Qi ........................................ 24 Mack John M ......................................... 28 Mainardi Francesco ............................... 18 Mainzer Klaus ....................................... 22 Marcolli Matilde .................................... 26 Maresch Guenter ................................... 30 Markin Marat V...................................... 16 Marsh Adam .......................................... 26 Masoliver Jaume .................................... 32 Mathai Arak M....................................... 10 Matsuzoe Hiroshi .................................. 12 Maury Bertrand ..................................... 19 Mcgovern S ........................................... 24 Mcnair Jytte Brender .............................. 14 Mikusinski Piotr ....................................... 5 Moh Tzuong-Tsieng ................................. 5 Moiola Jorge Luis................................... 11 Monteiro Giselle Antunes ...................... 15 Montiel Mariana .............................. 18, 28 Mortad Mohammed Hichem ................... 9 Movshovitz-Hadar Nitsa ........................ 29 Muller Johannes .................................... 17 Munoz Cristina Sardon .......................... 12 Nashed M Zuhair .................................. 10 Needham David J .................................. 24 Ng Eddie Yin-Kwee ................................ 17 Nicaise Johannes ................................... 13 Niemi Antti ............................................ 25 Ojima Izumi .......................................... 23 Okamura Kazuya ................................... 23 Olkin Ingram ......................................... 31 Opic Bohumir ....................................... 16 Otero Beatriz Grana ................................ 4

Ou-Yang Zhong-Can.............................. 26 Papastavridis John G .............................. 24 Peck Robert W ....................................... 18 Perron Pierre.......................................... 20 Petkovic Marko...................................... 18 Petrini Michela ...................................... 24 Phua Kok Khoo ...................................... 25 Piontkovski Dmitri ................................... 7 Pons Odile............................................. 32 Popivanov Petar Radoev .......................... 9 Porter Christopher.................................. 21 Posamentier Alfred S .............................. 30 Pradisi Gianfranco ................................. 24 Pugachev V S ......................................... 15 Qiu Anqi ............................................... 12 Quaintance Jocelyn ................................. 4 Radin Michael A ...................................... 8 Ramm Alexander G ............................... 27 Roque Marian P..................................... 10 Rosario Hector ...................................... 28 Roseman Dennis ................................... 12 Rothman Sheldon N .............................. 30 Rozikov Utkir A ..................................... 11 Rubakov Valery A .................................. 25 Saigo Hayato ......................................... 23 Schiesser William E ............................... 17 Schuster Peter Michael .......................... 22 Schwarz Albert ...................................... 23 Schwichtenberg Helmut ........................ 22 Sebag Julien........................................... 13 Sengupta Debasis .................................. 31 Serganova Vera ........................................ 4 Shaked-Monderer Naomi ........................ 4 Shen Wen .............................................. 22 Shier John .............................................. 13 Shriki Atara ............................................ 29 Sibatov Renat T ...................................... 19 Simovici Dan A ..................................... 16 Sinitsyn Igor........................................... 15 Slavik Antonin ....................................... 15 Slavova Angela ........................................ 9 Smilga Voldemar.................................... 33 Snaith Victor P ......................................... 5 Soltan Valeriu ........................................ 12 Sorbi Andrea............................................ 7 Soskova Mariya ....................................... 7 Sprott Julien Clinton .............................. 14 Stakhov Alexey ........................................ 4 Stanimirovic Predrag ............................. 18 Staples George Stacey ............................. 4 Steeb Willi-Hans................................ 5, 25 Stoyanov Stoyan .................................... 20 Su Zhonggen ......................................... 31 Sumner Amber C ................................... 22 Sun Rongfeng ........................................ 31 Sushko Iryna .......................................... 11 Suzuki Takashi ....................................... 18 Swart Jan M ........................................... 31 Swartz Charles W .................................. 16 Takhtajan Leon A ................................... 25 Tan Ru San ............................................ 17 Tassinari Gian Luca ............................... 20 Tijms Henk ............................................ 31 Toh Pee Choon ...................................... 28 Toh Tin Lam ........................................... 28 Tramontana Fabio .................................. 11 Tsang Ken Kang Too .............................. 27 Tu Zhanchun ......................................... 26 Tulkens Henry ....................................... 20 Turok Neil ............................................. 23 Tvrdy Milan ........................................... 15 Uchaikin Vladimir V .............................. 19 Umarov Sabir ........................................ 10 Urakawa Hajime ................................... 13 Virgadamo Danielle Sauro..................... 30 Vogeli Bruce R....................................... 28 Volchenkov Dimitri ............................... 19 Vougiouklis Thomas................................. 5 Wan Frederic Y M .................................. 17 Wang Wei ............................................... 8 Wang Wei-Min ...................................... 15 Wang Youde .......................................... 10 Weaver Nik ........................................... 16 Wei Yimin.............................................. 18 Weng Lin ............................................... 14 Wentworth Richard ............................... 14 Wilkin Graeme ...................................... 14 Wolenski Peter R ................................... 19 Wuppuluri Shyam.................................. 21 Xie Yuzhang ........................................... 26 Xin Yuanlong ......................................... 14 Xiong Bin .............................................. 29 Yang Chen Ning .................................... 24

Yang Lei................................................... 9 Yeh James J ............................................ 15 Yeo Joseph B W ..................................... 28 Yong Jiongmin ....................................... 27 Younes Laurent ...................................... 12 Zaffaroni Alberto ................................... 24 Zamfirescu Tudor ................................... 22 Zapletal Jindrich .................................... 21 Zhang Lixin ........................................... 31 Zhang Nien Fan ..................................... 22 Zhang Zhijiang ...................................... 18 Zhong Liang .......................................... 17

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