Mathematics Catalogue 2015

Mathematics cambridge.org/mathematics2015

2015

Welcome to the Mathematics books catalogue 2015.

Here you will find new and forthcoming titles, representing the highest level of academic research from renowned authors. Our highlights this year include exciting new works from T. W. Körner and Gabriel J. Lord.

Our publications are available in a variety of formats, including ebooks and print, as well as online collections for institutional purchase via our publishing service University Publishing Online, which incorporates the Cambridge Books Online platform.

We also publish a range of leading Mathematics journals, including The Journal of Fluid Mechanics (see back inside page for more information).

You can recommend our books, online collections and journals (include if relevant to your area) to your librarian by filling out the form at the back of this catalogue.

To see more book listings, product information, preview extracts and reviews, and to find out which conferences we are attending, you can find us online at www.cambridge.org/mathematics2015.

You can also keep up to date with the latest news and author views from our academic blog at http://www.cambridgeblog.org/.

We hope that you enjoy reading about our latest publications. For queries, suggestions or proposals, you can find a list of useful contacts at the back of this catalogue.

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Contents General and recreational mathematics 1 Logic, categories and sets 1 Algebra 2 Number theory 3 Real and complex analysis 4 Topology and geometry 5 Discrete mathematics, information theory and coding theory 6 Abstract analysis 7 Probability theory and stochastic processes 7 Statistics for econometrics, finance and insurance 8 Differential and integral equations, dynamical systems and control 8 Mathematical modelling and methods 9 Optimization, OR and risk analysis 9 Numerical analysis 10 Fluid dynamics and solid mechanics 10 Computational science 11 Programming languages and applied logic 12 Algorithmics, complexity, computer algebra and computational geometry 12 Cryptography, cryptology and coding 12 Computational biology and bioinformatics 12 Knowledge management, databases, datamining 12 Theoretical physics and mathematical physics 13 Quantum physics, quantum information and quantum computation 13 Engineering mathematics and programming 13 Thermal-fluids engineering 14 Chemical engineering 15 Control systems and optimization 15 Solid mechanics and materials 15 Microeconomics 16 Econometrics, statistics and mathematical economics 16 Finance 16 Also of interest 17 Information on related journals Inside back cover

Knots and Borromean Rings,

see page1

Rep-Tiles, and Eight Queens M A RT I N G A R D N E R

T h e L ogic of

see page 1

i n f i n iT y

Ba r na By Sh e ppa r d

CalCulus

see page 5

for the ambitious

T. W. Körner

CAMBRIDGE TEXTS IN APPLIED MATHEMATICS

see page 11

Flow, Deformation and Fracture

G. I. BARENBLATT

A Guide to

MATLAB

®

for Beginners and Experienced Users THIRD EDITION

Brian R. Hunt Ronald L. Lipsman Jonathan M. Rosenberg

see page 11

Featured authors Barnaby Sheppard Author of The Logic of Infinity Georg Cantor’s groundbreaking and highly imaginative work on the mathematics of infinity in the late 19th century opened the door to a formal theory of sets which was carefully developed in the decades that followed. Aimed at the motivated novice, this book provides an overview of some of the key ideas in set theory, bridging the gap between technical accounts of the foundations of mathematics and popular accounts of logic.

T. W. Körner, University of Cambridge Author of Calculus for the Ambitious

Ca lC ul us

for the ambitious

Most students of calculus study it in order to pass a calculus exam and most books on calculus are written to help them pass that exam. I have tried to write a little book for those students who wish to know why calculus is important and beautiful and how it works.

T. W. Körn er

‘This third edition of Numbers and Functions: Steps into Analysis continues the author’s long-term commitment to support every reader in making sense of mathematics by responding to a succession of well-chosen questions that encourage personal reflection and discussion with others. Groups of questions are followed by a summary to build the bigger picture. Every chapter includes details of the historical development and ends with al list of concise solutions.

The author is aware of the difficulties that students encounter with the complexity of the limit concept and begins with a pragmatic approach to null sequences.

This broadens into a full study of limits of sequences, completeness, and a full range of tests for convergence of infinite series. It continues with a study of the continuity of (real) functions, the consequences of completeness and on to formal theorems in differentiation, riemann integration, circle functions, sequences of functions and the broader ideas of pointwise and uniform continuity. This latest edition maintains the original chapters of the original, while benefiting from detailed improvements that have arisen from the experience of many readers.

Thoroughly recommended.’

problem-solving rather than lectures, working from the understanding which students have when arriving at university from school. New ideas, definitions

and axioms are introduced from concrete examples with clear distinction made David Tall, Professor in Mathematica

l Thinking, University of Warwick

between results which need or do not need completeness. Historical references

numbers and Functions

This text covers a standard first course in real analysis. It progresses by accessible

Third edition

The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this third edition of Numbers and Functions, Professor Burn invites the student reader to tackle each of the key concepts in turn, progressing from experience through a structured sequence of more than 800 problems to concepts, definitions and proofs of classical real analysis. The sequence of problems, most of which are supplied with brief answers, draws students into constructing definitions and theorems for themselves.

This natural development is informed and complemented by historical insight. Carefully corrected and updated throughout, this new edition includes revised introductions to convergence and integration.

The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties.

Burn

9781107444539 Burn PB C M Y K

Bob Burn, University of Exeter Author of Numbers and Functions

r.P. Burn

numbers

and Functions

Steps into Analysis Third edition

are strong, enabling students to sense that they are walking in the footsteps of the Masters.

Visit www.cambridge.org/authorhub for a range of step-by-step guides for authors

General and recreational mathematics / Logic, categories and sets

General and recreational mathematics

Manifold Mirrors The Crossing Paths of the Arts and Mathematics Felipe Cucker City University of Hong Kong

The Computing Universe

This fascinating book will interest anyone wanting to learn more about the relationship between mathematics and the arts.

A Journey through a Revolution Tony Hey

PROSE Award for Mathematics 2013 – Honourable mention

Microsoft Research, Redmond, Washington

and Gyuri Pápay University of Southampton

Computers now impact almost every aspect of our lives, from our social interactions to the safety and performance of our cars. How did this happen in such a short time? And this is just the beginning. In this book, Tony Hey and Gyuri Pápay lead us on a journey from the early days of computers in the 1930s to the cutting-edge research of the present day that will shape computing in the coming decades.

Along the way, they explain the ideas behind hardware, software, algorithms, Moore’s Law, the birth of the personal computer, the Internet and the Web, the Turing Test, Jeopardy’s Watson, World of Warcraft, spyware, Google, Facebook and quantum computing. This book also introduces the fascinating cast of dreamers and inventors who brought these great technological developments into every corner of the modern world.

This exciting and accessible introduction will open up the universe of computing to anyone who has ever wondered where his or her smartphone came from.

‘Tony Hey has made significant contributions to both physics and computer science and with The Computing Universe he and his co-author share the knowledge and history that has inspired us all.’

Bill Gates 2014 297 x 210 mm 424pp 596 colour illus. 20 tables 978-0-521-76645-6 Hardback £50.00 / US$85.00 978-0-521-15018-7 Paperback £24.99 / US$39.99 For all formats available, see

www.cambridge.org/9780521766456

2013 247 x 174 mm 426pp 55 b/w illus. 100 colour illus. 30 music examples 978-0-521-42963-4 Hardback £59.99 / US$94.99 978-0-521-72876-8 Paperback £21.99 / US$29.99 For all formats available, see

www.cambridge.org/9780521429634

Highlight

Games and Mathematics Subtle Connections David Wells

A unique book providing a tour through the fascinating connections between mathematics and games.

2012 228 x 152 mm 258pp 160 b/w illus.

978-1-107-02460-1 Hardback £49.99 / US$89.99

individual/social) that they hoped to overcome. The scholarship is excellent and the writing is clear and concise.’

Alf Coles, University of Bristol Learning in Doing: Social, Cognitive and Computational Perspectives

2014 228 x 152 mm 284pp 65 b/w illus. 2 tables 978-1-107-03948-3 Hardback £65.00 / US$99.00 For all formats available, see

www.cambridge.org/9781107039483

Highlight

Knots and Borromean Rings, Rep-Tiles, and Eight Queens Martin Gardner’s Unexpected Hanging Martin Gardner

The hangman’s paradox, cat’s cradle, gambling, peg solitaire, pi and e – all these and more are back in Martin Gardner’s inimitable style, with updates on new developments and discoveries.

Read about how knots and molecules are related; take a trip into the fourth dimension; try out new dissections of stars, crosses and polygons; and challenge yourself with new twists on classic games.

For all formats available, see

‘Martin Gardner’s fifteen volumes about mathematical games are the Canon – timeless classics that are always worth reading and rereading.’

www.cambridge.org/9781107024601

Don Knuth

978-1-107-69091-2 Paperback £15.99 / US$24.99

Mathematics and the Body Material Entanglements in the Classroom Elizabeth de Freitas Adelphi University, Garden City, New York

and Nathalie Sinclair Simon Fraser University, British Columbia

This books presents an ‘inclusive materialist’ approach to studying mathematics education, which offers a fresh perspective on human and nonhuman bodies and their relationship to mathematical concepts. The authors provide empirical examples to challenge current assumptions about the role of the senses, language, and ability in teaching and learning mathematics.

‘This book is a fabulous and timely contribution. It is a much-needed and radical critique of current embodied approaches within mathematics education, arguing that such approaches have, in large part, retained the very splits (inner/outer,

1

The New Martin Gardner Mathematical Library, 4

2014 216 x 138 mm 288pp 137 b/w illus.

978-0-521-75613-6 Hardback £30.00 / US$45.00 978-0-521-75871-0 Paperback £12.99 / US$17.99 For all formats available, see

www.cambridge.org/9780521756136

Logic, categories and sets The Logic of Infinity Barnaby Sheppard Freelance writer

Few mathematical results capture the imagination like Georg Cantor’s theory of infinity. Bridging the gap between technical accounts of mathematical foundations and popular accounts of logic, this book conveys to the

eBooks available at www.cambridge.org/ebookstore

2

Logic, categories and sets / Algebra novice the big ideas in the rigorous mathematical theory of infinite sets.

2014 247 x 174 mm 494pp 45 b/w illus.

978-1-107-05831-6 Hardback £70.00 / US$110.00 978-1-107-67866-8 Paperback £27.99 / US$42.99 For all formats available, see

www.cambridge.org/9781107058316

New in Paperback

Kurt Gödel and the Foundations of Mathematics Horizons of Truth Edited by Matthias Baaz Technische Universität Wien, Austria

Christos H. Papadimitriou University of California, Berkeley

Hilary W. Putnam Harvard University, Massachusetts

Dana S. Scott Carnegie Mellon University, Pennsylvania

and Charles L. Harper, Jr Vision-Five.com Consulting, United States

This volume commemorates the life, work and foundational views of Kurt Gödel by exploring the impact of his work and its future implications.

2014 254 x 178 mm 540pp 22 b/w illus. 1 table 978-1-107-67799-9 Paperback £38.99 / US$59.99 Also available 978-0-521-76144-4 Hardback £84.99 / US$124.99 For all formats available, see

www.cambridge.org/9781107677999

Basic Category Theory Tom Leinster University of Edinburgh

Assuming little mathematical background, this short introduction to category theory is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. Suitable for independent study or as a course book, it gives extensive explanations of the key concepts along with hundreds of examples and exercises.

Cambridge Studies in Advanced Mathematics, 143

2014 228 x 152 mm 190pp 100 exercises 978-1-107-04424-1 Hardback £37.99 / US$65.00

Monoidal Topology A Categorical Approach to Order, Metric, and Topology Edited by Dirk Hofmann Universidade de Aveiro, Portugal

Gavin J. Seal Swiss Federal Institute of Technology, Lausanne

and Walter Tholen York University, Toronto

Monoidal Topology will appeal to a broad range of mathematicians and theoretical computer scientists who work with ordered, metric and topological structures. It presents frontline research in a number of fields and provides all the necessary prerequisites in order and category theory.

Encyclopedia of Mathematics and its Applications, 153

2014 234 x 156 mm 518pp 225 exercises 978-1-107-06394-5 Hardback £80.00 / US$130.00

Algebra A Concise Text on Advanced Linear Algebra Yisong Yang Polytechnic School of Engineering, New York University

An engaging textbook for advanced undergraduate students and beginning graduates covering the core subjects in linear algebra. The author clearly motivates the theory to give readers a thorough grasp of the concepts and draws clear links to applications in mathematics and beyond.

2014 228 x 152 mm 331pp 390 exercises 978-1-107-08751-4 Hardback £70.00 / US$115.00

For all formats available, see

978-1-107-45681-5 Paperback £29.99 / US$55.00

www.cambridge.org/9781107063945

For all formats available, see

Turing’s Legacy Developments from Turing’s Ideas in Logic Edited by Rod Downey

www.cambridge.org/9781107087514

Representation Theory A Combinatorial Viewpoint Amritanshu Prasad

Victoria University of Wellington

Institute of Mathematical Sciences, Chennai

A collection of essays celebrating the influence of Alan Turing’s work in logic, computer science and related areas.

This book examines the fundamental results of modern combinatorial representation theory. The exercises are interspersed with text to reinforce readers’ understanding of the subject.

In addition, each exercise is assigned a difficulty level to test readers’ learning.

Solutions and hints to most of the exercises are provided at the end.

Lecture Notes in Logic, 42

2014 228 x 152 mm 539pp 978-1-107-04348-0 Hardback £60.00 / US$95.00 For all formats available, see

www.cambridge.org/9781107043480

Pure Inductive Logic

Cambridge Studies in Advanced Mathematics, 147

University of Manchester

2015 244 x 170 mm 202pp 978-1-107-08205-2 Hardback £50.00 / US$80.00

and Alena Vencovská

Publication February 2015

Jeffrey Paris University of Manchester

This book establishes pure inductive logic as a contemporary branch of mathematical logic. Collecting together research from a wide range of sources within one unified context, it provides both a comprehensive account of the subject up to cutting-edge modern research, and an accessible reference for the philosopher or computer scientist.

Perspectives in Logic

For all formats available, see

2015 228 x 152 mm 360pp 1 b/w illus.

978-1-107-04230-8 Hardback c. £60.00 / c. US$95.00

www.cambridge.org/9781107044241

Publication April 2015 For all formats available, see

www.cambridge.org/9781107042308

For all formats available, see

www.cambridge.org/9781107082052

Group Cohomology and Algebraic Cycles Burt Totaro University of California, Los Angeles

Group cohomology reveals a deep relation between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic geometry more broadly.

This book presents a coherent suite of computational tools for the study of group cohomology and algebraic cycles.

‘The author is one of the world experts on the Chow ring of algebraic cycles on the classifying space of an algebraic group and its interplay with the classical mod p cohomology ring.

Algebra / Number theory With a focus on finite groups, this text develops in parallel the theory of these two important families of rings. Very recent results about deep structural properties are presented here for the first time in book form, including, notably, Symonds’s calculation of the Castelnuovo– Mumford regularity of group cohomology and its consequences.

Some results about group cohomology are improvements on the literature, and many of the parallel results about Chow rings are new. The book is recommended for advanced students and researchers interested in seeing some of the lovely ways in which representation theory, algebraic topology, algebraic geometry, and commutative algebra fruitfully interact.’

and updated, with Chapter 9 being completely rewritten via the useful new notion of ‘minimal type’ for pseudoreductive groups.

Nicholas Kuhn, University of Virginia

New Mathematical Monographs, 26

Cambridge Tracts in Mathematics, 204

2014 228 x 152 mm 246pp 2 b/w illus.

978-1-107-01577-7 Hardback £55.00 / US$85.00 For all formats available, see

www.cambridge.org/9781107015777

Review of previous edition: ‘This book is an impressive piece of work; many hard technical difficulties are overcome in order to provide the general structure of pseudo-reductive groups and to elucidate their classification by means of reasonable data. In view of the importance of this class of algebraic groups ... and of the impact of a better understanding of them on the general theory of linear algebraic groups, this book can be considered a fundamental reference in the area.’

Mathematical Reviews 2015 228 x 152 mm 686pp 978-1-107-08723-1 Hardback £90.00 / US$145.00 Publication April 2015 For all formats available, see

www.cambridge.org/9781107087231

3

Automorphic Forms and Galois Representations Volume 1 Edited by Fred Diamond King’s College London

Payman L. Kassaei King’s College London

and Minhyong Kim University of Oxford

This collection, the first of two volumes arising from an LMS-EPSRC Durham Symposium, explores the importance of automorphic forms and Galois representations in number theory.

The expository articles and research papers within cover recent progress in anabelian geometry, p-adic Hodge theory, the Langlands program, and p-adic methods in number theory.

London Mathematical Society Lecture Note Series, 414

2014 228 x 152 mm 390pp 978-1-107-69192-6 Paperback £50.00 / US$85.00 For all formats available, see

www.cambridge.org/9781107691926

Non-Associative Normed Algebras

Number theory

Volume 1: The Vidav–Palmer and Gelfand– Naimark Theorems Miguel Cabrera García

Neverending Fractions

Universidad de Granada

and Ángel Rodríguez Palacios Universidad de Granada

The first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume of two focuses on C*-algebras and related structure.

Encyclopedia of Mathematics and its Applications, 154

2014 234 x 156 mm 733pp 3 b/w illus. 20 exercises 978-1-107-04306-0 Hardback £99.00 / US$160.00 For all formats available, see

www.cambridge.org/9781107043060

Pseudo-reductive Groups Second edition Brian Conrad

An Introduction to Continued Fractions Jonathan Borwein University of Newcastle, New South Wales

Alf van der Poorten Macquarie University, Sydney

Jeffrey Shallit University of Waterloo, Ontario

and Wadim Zudilin University of Newcastle, New South Wales

This contemporary introduction to the fascinating theory of continued fractions covers a variety of applications that will interest graduates, postgraduates and researchers, as well as teachers and even amateur enthusiasts.

Australian Mathematical Society Lecture Series, 23

2014 228 x 152 mm 224pp 11 b/w illus. 75 exercises 978-0-521-18649-0 Paperback £24.99 / US$39.99 For all formats available, see

www.cambridge.org/9780521186490

Automorphic Forms and Galois Representations Volume 2 Edited by Fred Diamond King’s College London

Payman L. Kassaei King’s College London

and Minhyong Kim University of Oxford

This collection, the second of two volumes arising from an LMS-EPSRC Durham Symposium, explores the importance of automorphic forms and Galois representations in number theory.

The expository articles and research papers within cover recent progress in anabelian geometry, p-adic Hodge theory, the Langlands program, and p-adic methods in number theory.

London Mathematical Society Lecture Note Series, 415

2014 228 x 152 mm 390pp 978-1-107-69363-0 Paperback £50.00 / US$85.00 For all formats available, see

www.cambridge.org/9781107693630

Stanford University, California

Ofer Gabber Institut des Hautes Études Scientifiques, France

and Gopal Prasad University of Michigan, Ann Arbor

This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form.

This second edition has been revised

For regular email alerts visit www.cambridge.org/alerts

4

Number theory / Real and complex analysis The Bloch–Kato Conjecture for the Riemann Zeta Function

Thin Groups and Superstrong Approximation

Edited by John Coates

Edited by Emmanuel Breuillard

University of Cambridge

Université de Paris XI

A. Raghuram

and Hee Oh

Indian Institute of Science Education and Research, Pune

Yale University, Connecticut

Anupam Saikia Indian Institute of Technology, Guwahati

and R. Sujatha University of British Columbia, Vancouver

An account of a significant body of recent work that resolves some longstanding mysteries concerning special values of the Riemann zeta function. It brings together many important results from K-theory, motivic cohomology, and Iwasawa theory, accessible at graduate level and above.

London Mathematical Society Lecture Note Series, 418

2015 228 x 152 mm 320pp 978-1-107-49296-7 Paperback £50.00 / US$80.00 Publication March 2015

This collection of survey articles focuses on recent developments at the boundary between geometry, dynamical systems, number theory and combinatorics.

Mathematical Sciences Research Institute Publications, 61

2014 234 x 156 mm 373pp 978-1-107-03685-7 Hardback £65.00 / US$99.00 For all formats available, see

www.cambridge.org/9781107036857

Real and complex analysis

For all formats available, see

www.cambridge.org/9781107492967

Number Theory, Fourier Analysis and Geometric Discrepancy Giancarlo Travaglini Università degli Studi di Milano-Bicocca

Textbook

Numbers and Functions

Publication February 2015 For all formats available, see

www.cambridge.org/9781107444539

University of Cambridge

Advance praise: ‘This third edition of Numbers and Functions continues the author’s long-term commitment to support every reader in making sense of mathematics by responding to a succession of well-chosen questions that encourage personal reflection and discussion with others. Groups of questions are followed by a summary to build the bigger picture.

Every chapter includes details of the historical development and ends with a full list of solutions. The author is aware of the difficulties that students encounter with the complexity of the limit concept and begins with a pragmatic approach to null sequences.

This broadens into a full study of limits of sequences, completeness, and a full range of tests for convergence of infinite series … This latest edition maintains the original chapters of the original, while benefiting from

www.cambridge.org/9781107044036

2015 228 x 152 mm 371pp 65 b/w illus. 800 exercises 978-1-107-44453-9 Paperback £34.99 / US$69.99

University of Exeter

London Mathematical Society Student Texts, 81

For all formats available, see

Contents: Preface to first edition; Preface to second edition; Preface to third edition; Glossary; Part I. Numbers: 1 Mathematical induction; 2. Inequalities; 3. Sequences: a first bite at infinity; 4. Completeness: what the rational numbers lack; 5. Series: infinite sums; Part II. Functions: 6. Functions and continuity: neighbourhoods, limits of functions; 7. Continuity and completeness: functions on intervals; 8. Derivatives: tangents; 9. Differentiation and completeness: mean value theorems, Taylor’s Theorem; 10. Integration: the fundamental theorem of calculus; 11. Indices and circle functions; 12. Sequences of functions; Appendix 1. Properties of the real numbers; Appendix 2. Geometry and intuition; Appendix 3. Questions for student investigation and discussion; Bibliography; Index.

A Course in Mathematical Analysis

In this updated edition of Numbers and Functions, the reader is invited to tackle each of the key concepts of mathematical analysis in turn, progressing from experience through a structured sequence of over 800 problems to concepts, definitions and proofs of classical real analysis.

978-1-107-61985-2 Paperback £25.99 / US$42.00

David Tall, University of Warwick

Steps into Analysis Third edition R. P. Burn

Geometric discrepancy theory is a rapidly growing modern field. This book provides a complete introduction to the topic with exposition based on classical number theory and Fourier analysis, but assuming no prior knowledge of either. Ideal as a guide to the subject for advanced undergraduate or beginning graduate students.

2014 228 x 152 mm 252pp 22 b/w illus. 1 table 100 exercises 978-1-107-04403-6 Hardback £65.00 / US$110.00

detailed improvements that have arisen from the experience of many readers. Thoroughly recommended.’

D. J. H. Garling 2014 247 x 174 mm 970pp 55 b/w illus. 890 exercises 978-1-107-62534-1 3-Volume Hardback Set £200.00 / US$320.00 For all formats available, see

www.cambridge.org/9781107625341

A Course in Mathematical Analysis Volume 1: Foundations and Elementary Real Analysis D. J. H. Garling University of Cambridge

The first volume of three providing a full and detailed account of undergraduate mathematical analysis.

2013 247 x 174 mm 318pp 21 b/w illus. 340 exercises 978-1-107-03202-6 Hardback £79.99 / US$134.99 978-1-107-61418-5 Paperback £29.99 / US$54.99 For all formats available, see

www.cambridge.org/9781107032026

Real and complex analysis / Topology and geometry A Course in Mathematical Analysis Volume 2: Metric and Topological Spaces, Functions of a Vector Variable D. J. H. Garling University of Cambridge

The second volume of three providing a full and detailed account of undergraduate mathematical analysis.

2014 247 x 174 mm 336pp 15 b/w illus. 280 exercises 978-1-107-03203-3 Hardback £75.00 / US$125.00 978-1-107-67532-2 Paperback £30.00 / US$50.00 For all formats available, see

www.cambridge.org/9781107032033

A Course in Mathematical Analysis Volume 3: Complex Analysis, Measure and Integration D. J. H. Garling University of Cambridge

The third volume of three providing a full and detailed account of undergraduate mathematical analysis.

2014 247 x 174 mm 332pp 20 b/w illus. 270 exercises 978-1-107-03204-0 Hardback £75.00 / US$125.00 978-1-107-66330-5 Paperback £30.00 / US$50.00

Orthogonal Polynomials of Several Variables Second edition Charles F. Dunkl University of Virginia

and Yuan Xu

Calculus for the Ambitious This short introduction is perfect for any 16 to 18 year old about to begin studies in mathematics, or anyone who would like to see a different account of the calculus from that given in the standard texts. Easy to read, this book will enthuse a new generation of mathematicians.

2014 228 x 152 mm 174pp 15 b/w illus. 195 exercises 978-1-107-06392-1 Hardback £40.00 / US$65.00 978-1-107-68674-8 Paperback £17.99 / US$27.99 For all formats available, see

www.cambridge.org/9781107063921

2014 228 x 152 mm 472pp 19 tables 120 exercises 978-1-107-02462-5 Hardback £50.00 / US$80.00 For all formats available, see

www.cambridge.org/9781107024625

Serving both as an introduction to the subject and as a reference, this book covers the general theory and emphasizes the classical types of orthogonal polynomials, or those of Gaussian type. Containing 25% brand new material, this revised edition reflects progress made in the field over the past decade.

Moduli Spaces

Review of the first edition: ‘This book is the first modern treatment of orthogonal polynomials of several real variables. It presents not only a general theory, but also detailed results of recent research on generalizations of various classical cases.’

Mathematical Reviews

Consejo Superior de Investigaciones Cientificas, Madrid

Encyclopedia of Mathematics and its Applications, 155

2014 234 x 156 mm 426pp 3 b/w illus.

978-1-107-07189-6 Hardback £80.00 / US$130.00 For all formats available, see

www.cambridge.org/9781107071896

Topology and geometry

T. W. Körner University of Cambridge

Cambridge Studies in Advanced Mathematics, 144

University of Oregon

For all formats available, see

www.cambridge.org/9781107032040

5

Cox Rings Ivan Arzhantsev Moscow State University

Ulrich Derenthal Leibniz Universität Hannover

Jürgen Hausen Eberhard-Karls-Universität Tübingen, Germany

and Antonio Laface Universidad de Concepción, Chile

This book gives a systematic and selfcontained introduction to Cox rings, which allows for explicit treatment of advanced topics in algebraic geometry. It provides students and researchers with a straightforward guide to this field of research. Applications in algebraic and arithmetic geometry are discussed.

Edited by Leticia Brambila-Paz Centro de Investigación en Matemáticas A.C. (CIMAT), Mexico

Peter Newstead University of Liverpool

Richard P. Thomas Imperial College of Science, Technology and Medicine, London

and Oscar García-Prada

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

London Mathematical Society Lecture Note Series, 411

2014 228 x 152 mm 344pp 978-1-107-63638-5 Paperback £50.00 / US$76.00 For all formats available, see

www.cambridge.org/9781107636385

Automorphisms and Equivalence Relations in Topological Dynamics David B. Ellis Beloit College, Wisconsin

and Robert Ellis Beloit College, Wisconsin

An original and self-contained treatment of some key ideas in the abstract theory of topological dynamics, focussing on the role of automorphisms and equivalence relations. This approach leads to simpler proofs of classical results and provides motivation for further study, making this lucid book ideal for graduate students and researchers.

London Mathematical Society Lecture Note Series, 412

2014 228 x 152 mm 281pp 80 exercises 978-1-107-63322-3 Paperback £45.00 / US$70.00 For all formats available, see

www.cambridge.org/9781107633223

‘An excellent introduction to the subject, featuring a wide selection of topics, careful exposition, and many examples and exercises.’

David Cox, University of Massachusetts, Amherst

Visit our website at www.cambridge.org/academic

6

Topology and geometry / Discrete mathematics, information theory and coding theory Optimal Transport Theory and Applications Edited by Yann Ollivier Université de Paris XI

Hervé Pajot Université de Grenoble

and Cedric Villani Université de Paris VI (Pierre et Marie Curie)

A collection of introductory lecture notes and research papers on optimal transportation and its interactions with analysis, geometry, PDE and probability.

Both fundamental and advanced aspects of the theory are covered, as well as applications to urban planning and economics. A valuable resource for graduate students and researchers.

(honoring Alan Weinstein, one of the key figures in the field) and Symplectic Geometry, Noncommutative Geometry and Physics.

Applied Algebra and Number Theory

Mathematical Sciences Research Institute Publications

Friedrich Pillichshammer

2014 234 x 156 mm 299pp 23 b/w illus.

978-1-107-05641-1 Hardback £60.00 / US$99.00 For all formats available, see

www.cambridge.org/9781107056411

Categorical Homotopy Theory Emily Riehl Harvard University, Massachusetts

Recent Advances in Algebraic Geometry

A typical proposition in homotopy theory asserts that two objects are weakly equivalent. But sometimes this statement obscures a more precise truth: that particular models for the relevant objects are isomorphic. This book, with its focus on enriched category theory, helps tease apart the categorical statements (asserting isomorphism) from the essentially homotopical ones (asserting weak equivalence).

Edited by Christopher D. Hacon

New Mathematical Monographs, 24

University of Utah University of Michigan, Ann Arbor

2014 228 x 152 mm 352pp 55 exercises 978-1-107-04845-4 Hardback £65.00 / US$99.00

and Mihnea Popa

For all formats available, see

London Mathematical Society Lecture Note Series, 413

2014 228 x 152 mm 316pp 978-1-107-68949-7 Paperback £40.00 / US$60.00 For all formats available, see

www.cambridge.org/9781107689497

Mircea Mustaţă University of Illinois, Chicago

A collection of articles, written by leading experts, on cutting-edge aspects of algebraic geometry. Up-to-date research is presented in an expository manner, giving a comprehensive picture of current research in this thriving field.

Essential reading for researchers and graduate students.

London Mathematical Society Lecture Note Series, 417

2015 228 x 152 mm 447pp 12 b/w illus. 9 tables 978-1-107-64755-8 Paperback £65.00 / US$99.00 For all formats available, see

www.cambridge.org/9781107647558

Symplectic, Poisson, and Noncommutative Geometry Edited by Tohru Eguchi Rikkyo University, Japan

Yakov Eliashberg Stanford University, California

and Yoshiaki Maeda Tokyo University of Science

This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute: Symplectic and Poisson Geometry in Interaction with Analysis, Algebra and Topology

www.cambridge.org/9781107048454

Edited by Gerhard Larcher Johannes Kepler Universität Linz Johannes Kepler Universität Linz

Arne Winterhof Austrian Academy of Sciences, Linz

and Chaoping Xing Nanyang Technological University, Singapore

This book contains survey articles authored by Harald Niederreiter’s close colleagues and leading experts to mark the occasion of his 70th birthday.

Intended for graduate students and researchers, the articles focus on uniform distribution and quasi-Monte Carlo methods as well as finite fields and their applications, in particular, cryptography and pseudorandom number generation.

2014 228 x 152 mm 345pp 25 b/w illus. 5 colour illus.

978-1-107-07400-2 Hardback £65.00 / US$99.00 For all formats available, see

www.cambridge.org/9781107074002

Lattice Coding for Signals and Networks A Structured Coding Approach to Quantization, Modulation and Multiuser Information Theory Ram Zamir Tel-Aviv University

Discrete mathematics, information theory and coding theory Catalan Numbers Richard P. Stanley Massachusetts Institute of Technology

Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives some basic background and then presents more than 250 exercises and solutions on the properties and applications of these numbers, with difficulty levels ranging from recreational to research.

2015 228 x 152 mm 216pp 150 b/w illus. 282 exercises 978-1-107-07509-2 Hardback £44.99 / US$74.99

With contributions by Bobak Nazer Boston University

and Yuval Kochman Hebrew University of Jerusalem

Illustrated by Ilai Bistritz

Unifying information theory and digital communication through the language of lattice codes, this book provides a detailed overview for students, researchers and industry practitioners. It covers both classical work and the more recent results, including many advanced setups and techniques showing the advantages of lattice codes over traditional random-coding solutions.

2014 247 x 174 mm 454pp 138 b/w illus. 11 tables 110 exercises 978-0-521-76698-2 Hardback £75.00 / US$120.00 For all formats available, see

www.cambridge.org/9780521766982

Topics in Chromatic Graph Theory Edited by Lowell W. Beineke Purdue University, Indiana

978-1-107-42774-7 Paperback £19.99 / US$29.99

and Robin J. Wilson

Publication April 2015

Chromatic graph theory is a thriving area that uses various ideas of ‘colouring’ (of vertices, edges, and so on) to explore aspects of graph theory. It has

For all formats available, see

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The Open University, Milton Keynes

Discrete mathematics, information theory and coding theory / Abstract analysis / Probability theory and stochastic processes links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material, no other title has such a wide scope as this one, in which acknowledged international experts in the field provide a broad survey of the subject. All fifteen chapters have been carefully edited, with uniform notation and terminology applied throughout. Bjarne Toft (Odense, Denmark), widely recognized for his substantial contributions to the area, acted as academic consultant. The book serves as a valuable reference for researchers and graduate students in graph theory and combinatorics and as a useful introduction to the topic for mathematicians in related fields.

Contributors: Bjarne Toft, Lowell W. Beineke, Robin J. Wilson, Bojan Mohar, Michael Stiebitz, Bill Jackson, Ken-ichi Kawarabayashi, Jessica McDonald, Margit Voigt, Nicolas Trotignon, Alexander Soifer, Hongjian Lai, Rong Luo, Cun-Quan Zhang, Ross J. Kang, Colin McDiarmid, Csilla Bujtas, Zsolt Tuza, Vitaly Voloshin, Dominique de Werra, Alain Hertz, Thore Husfeldt, Xuding Zhu, Tommy Jensen Encyclopedia of Mathematics and its Applications, 156

2015 234 x 156 mm 400pp 65 b/w illus.

978-1-107-03350-4 Hardback c. £75.00 / c. US$130.00 Publication March 2015 For all formats available, see

www.cambridge.org/9781107033504

Games of No Chance 4 Edited by Richard J. Nowakowski Dalhousie University, Nova Scotia

This book includes a tutorial for analyzing misère impartial games and explains how it can be used for misère partisan games. Hex and Go are featured, along with new games: Toppling Dominoes and Maze. Updated versions of Unsolved Problems in Combinatorial Game Theory and the Combinatorial Games Bibliography complete the volume.

Mathematical Sciences Research Institute Publications, 63

2015 234 x 156 mm 352pp 70 b/w illus. 23 tables 978-1-107-01103-8 Hardback £59.99 / US$94.99 Publication April 2015 For all formats available, see

www.cambridge.org/9781107011038

Abstract analysis Probability: The Classical Limit Theorems Henry McKean New York University

Probability theory is here explained by one of its leading authorities. McKean constructs a clear path through the subject and sheds light on a variety of interesting topics in which probability theory plays a key role. Anyone who wants to learn or use probability will benefit from reading this book.

2014 228 x 152 mm 485pp 122 b/w illus. 260 exercises 978-1-107-05321-2 Hardback £60.00 / US$99.00 978-1-107-62827-4 Paperback £27.99 / US$45.99 For all formats available, see

7

Sobolev Spaces on Metric Measure Spaces An Approach Based on Upper Gradients Juha Heinonen Pekka Koskela University of Jyväskylä, Finland

Nageswari Shanmugalingam University of Cincinnati

and Jeremy T. Tyson University of Illinois, Urbana-Champaign

Analysis on metric spaces is a field that has expanded dramatically since the 1990s. Written by some of the founders of the theory, this book provides a coherent treatment from first principles.

It is an ideal introduction for graduate students and a useful reference for experts in the field.

New Mathematical Monographs, 27

2015 228 x 152 mm 448pp 4 b/w illus.

978-1-107-09234-1 Hardback £80.00 / US$130.00 For all formats available, see

www.cambridge.org/9781107092341

www.cambridge.org/9781107053212

The Theory of H(b) Spaces Volume 1 Emmanuel Fricain Université de Lille 1

and Javad Mashreghi Université Laval, Québec

This comprehensive treatment is accessible to graduate students as well as researchers. It covers all of the preliminary subjects needed to fully understand and appreciate this beautiful subject, such as Hardy spaces, Fourier analysis and Carleson measures.

Hundreds of exercises are also included, making the book suitable for graduate courses.

New Mathematical Monographs, 20

2015 228 x 152 mm 700pp 30 b/w illus. 320 exercises 978-1-107-02777-0 Hardback £99.00 / US$150.00 Publication March 2015 For all formats available, see

www.cambridge.org/9781107027770

Probability theory and stochastic processes Quantum Stochastics Mou-Hsiung Chang Mathematical Sciences Division, U.S. Army Research Office

This book provides a systematic, self-contained treatment of the theory of quantum probability and quantum Markov processes for graduate students and researchers. Building a framework that parallels the development of classical probability, it aims to help readers up the steep learning curve of the quantum theory.

Advance praise: ‘This excellent introductory book on quantum stochastics is most timely – the highly interdisciplinary book needed in this century. Dr Chang has organized and presented the material in a systematic and coherent manner.

[The] … material is self-contained and self-readable; ideas, concepts and topics are up-to-date, well-motivated, well presented and well associated with the classical approach: starting from the idea of a quantum system, to quantum probability space, measure, processes with quantum stochastic calculus, quantum stochastic differential equations, quantum stability, quantum semigroups, and so on. I am looking forward to using

eBooks available at www.cambridge.org/ebookstore

8

Probability theory and stochastic processes / Statistics for econometrics, finance and insurance / Differential and integral equations, dynamical systems and control this book for my graduate course on quantum stochastic dynamic systems.

I will also highly recommend it to my students and colleagues.’

G. S. Ladde, University of South Florida, and founder and editor of the Journal of Stochastic Analysis and Applications

we cannot foresee where the story is heading. Dan Romik tells the tale thus far – and teaches its rich multifaceted mathematics, a blend of probability, combinatorics, analysis, and algebra – in a wonderful way.’

Gil Kalai, Hebrew University

Cambridge Series in Statistical and Probabilistic Mathematics

Institute of Mathematical Statistics Textbooks

2015 253 x 177 mm 372pp 978-1-107-06919-0 Hardback £55.00 / US$85.00

2015 228 x 152 mm 432pp 3 b/w illus. 94 exercises 978-1-107-07583-2 Hardback £65.00 / US$99.00

Publication February 2015 For all formats available, see

www.cambridge.org/9781107069190

978-1-107-42882-9 Paperback £27.99 / US$39.99 Publication March 2015

Uniform Central Limit Theorems

For all formats available, see

Second edition R. M. Dudley

Random Matrix Theory, Interacting Particle Systems and Integrable Systems

Massachusetts Institute of Technology

This expanded edition of the classic work on empirical processes now boasts several new proved theorems not in the first.

Cambridge Studies in Advanced Mathematics, 142

2014 228 x 152 mm 486pp 978-0-521-49884-5 Hardback £70.00 / US$120.00 978-0-521-73841-5 Paperback £29.99 / US$50.00 For all formats available, see

www.cambridge.org/9780521498845

The Surprising Mathematics of Longest Increasing Subsequences

www.cambridge.org/9781107075832

Edited by Percy Deift New York University, Courant Institute of Mathematical Sciences

and Peter Forrester University of Melbourne

This volume, based on the Fall 2010 MSRI program, includes review articles, research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles, and other core aspects of random matrix theory such as integrability and free probability theory.

Mathematical Sciences Research Institute Publications, 65

Dan Romik

2015 234 x 156 mm 552pp 978-1-107-07992-2 Hardback £75.00 / US$120.00

University of California, Davis

Publication February 2015

This book presents for the first time to a graduate-level readership recent groundbreaking developments in probability and combinatorics related to the longest increasing subsequence problem. Its detailed, playful presentation provides a motivating entry to elegant mathematical ideas that are of interest to every mathematician and to many computer scientists, physicists and statisticians.

For all formats available, see

Advance praise: ‘The story of longest monotone subsequences in permutations has been, for six decades, one of the most beautiful in mathematics, ranging from the very pure to the applied and featuring many terrific mathematicians, starting with Erdős– Szekeres’s ‘happy end theorem’ and continuing through the Tracy–Widom distribution and the breakthrough of Baik–Deift–Johansson. With its connections to many areas of mathematics, to the Riemann hypothesis, and to high-energy physics

www.cambridge.org/9781107079922

Statistics for econometrics, finance and insurance Portfolio Theory and Risk Management Maciej J. Capiński AGH University of Science and Technology, Krakow

and Ekkehard Kopp University of Hull

With its focus on examples, exercises and calculations this book suits advanced undergraduates as well as postgraduates and practitioners.

It provides a rigorous treatment of

the underlying theory and equips the reader to handle risk assessments in modern finance. Solutions and additional material are available at www.cambridge.org/9781107003675.

Mastering Mathematical Finance

2014 228 x 152 mm 169pp 35 b/w illus. 75 exercises 978-1-107-00367-5 Hardback £50.00 / US$80.00 978-0-521-17714-6 Paperback £24.00 / US$39.99 For all formats available, see

www.cambridge.org/9781107003675

Differential and integral equations, dynamical systems and control Difference Equations

by Differential Equation Methods Peter E. Hydon University of Surrey

Many texts teach solution methods for differential equations, but this is the first that explains how to extend these methods to difference equations.

It assumes no prior knowledge of difference equations, making it ideal for newcomers, but also contains much new material that will interest researchers in the field.

Cambridge Monographs on Applied and Computational Mathematics, 27

2014 228 x 152 mm 222pp 20 b/w illus. 120 exercises 978-0-521-87852-4 Hardback £40.00 / US$65.00 For all formats available, see

www.cambridge.org/9780521878524

Lectures on Lyapunov Exponents Marcelo Viana IMPA, Rio de Janeiro

The theory of Lyapunov exponents originated in the study of the stability of solutions of differential equations.

This book is an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to

Differential and integral equations, dynamical systems and control / Mathematical modelling and methods / Optimization, OR and risk analysis dynamical systems, ergodic theory, mathematical physics and probability.

Cambridge Studies in Advanced Mathematics, 145

2014 228 x 152 mm 215pp 8 b/w illus. 105 exercises 978-1-107-08173-4 Hardback £40.00 / US$65.00 For all formats available, see

www.cambridge.org/9781107081734

An Introduction to Computational Stochastic PDEs Gabriel J. Lord Heriot-Watt University, Edinburgh

Catherine E. Powell University of Manchester

and Tony Shardlow University of Bath

This comprehensive introduction to stochastic partial differential equations incorporates the effects of randomness into real-world models, offering graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. MATLAB codes are included, so that readers can perform computations themselves and solve the test problems discussed.

Cambridge Texts in Applied Mathematics, 50

2014 247 x 174 mm 516pp 107 b/w illus. 16 colour illus. 222 exercises 978-0-521-89990-1 Hardback £80.00 / US$130.00 978-0-521-72852-2 Paperback £37.50 / US$60.00 For all formats available, see

www.cambridge.org/9780521899901

Stochastic Equations in Infinite Dimensions Second edition Giuseppe Da Prato Scuola Normale Superiore, Pisa

and Jerzy Zabczyk Polish Academy of Sciences

Updates in this second edition include two brand new chapters and an even more comprehensive bibliography.

Encyclopedia of Mathematics and its Applications, 152

2014 234 x 156 mm 512pp 978-1-107-05584-1 Hardback £80.00 / US$125.00 For all formats available, see

www.cambridge.org/9781107055841

Reversibility in Dynamics and Group Theory Anthony G. O’Farrell National University of Ireland, Maynooth

9

Mathematical modelling and methods

and Ian Short The Open University, Milton Keynes

The powerful and far-reaching concept of reversibility is treated for the first time in book form. The authors establish basic principles of reversibility and demonstrate its impact in group theory, geometry, complex analysis and number theory, while describing open research problems throughout. Accessible at the advanced undergraduate level and above.

London Mathematical Society Lecture Note Series, 416

2015 228 x 152 mm 290pp 38 b/w illus. 11 tables 978-1-107-44288-7 Paperback £40.00 / US$65.00 Publication April 2015 For all formats available, see

www.cambridge.org/9781107442887

The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations J. C. Meyer University of Birmingham

and D. J. Needham University of Birmingham

Reaction-diffusion theory is a rapidly developing topic with important applications. This monograph, which includes significant new results, provides a general approach to the study of semilinear parabolic equations with Hölder and/or upper Lipschitz continuous nonlinearities, a scenario that occurs often in reaction-diffusion models in chemical kinetics, biochemical systems and population dynamics.

London Mathematical Society Lecture Note Series, 419

2015 228 x 152 mm 176pp 978-1-107-47739-1 Paperback £44.99 / US$69.99 Publication May 2015 For all formats available, see

www.cambridge.org/9781107477391

The Finite-Difference Modelling of Earthquake Motions Waves and Ruptures Peter Moczo Univerzita Komenského v Bratislave, Slovakia

Jozef Kristek Univerzita Komenského v Bratislave, Slovakia

and Martin Gális King Abdullah University of Science and Technology, Saudi Arabia

A systematic tutorial introduction to the finite-difference (FD) numerical modelling technique for professionals, academic researchers, and graduate students in seismology.

2014 247 x 174 mm 383pp 71 b/w illus. 26 tables 978-1-107-02881-4 Hardback £75.00 / US$115.00 For all formats available, see

www.cambridge.org/9781107028814

Optimization, OR and risk analysis Textbook

Chance, Strategy, and Choice An Introduction to the Mathematics of Games and Elections Samuel Bruce Smith St Joseph’s University, Philadelphia

This classroom-tested undergraduate textbook is intended for a general education course in game theory at the freshman or sophomore level. While it starts off with the basics and introduces the reader to mathematical proofs, this text also presents several advanced topics, including accessible proofs of the Sprague–Grundy theorem and Arrow’s impossibility theorem.

Contents: 1. Introduction; 2. Games and elections; 3. Chance; 4. Strategy; 5. Choice; 6. Strategy and choice; 7. Choice and chance; 8. Chance and strategy; 9. Nash equilibria; 10. Proofs and counterexamples; 11. Laws of probability; 12. Fairness in elections; 13. Weighted voting; 14. Gambling games; 15. Zero-sum games; 16. Partial conflict games; 17. Take-away

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10

Optimization, OR and risk analysis / Numerical analysis / Fluid dynamics and solid mechanics games; 18. Fairness and impossibility; 19. Paradoxes and puzzles in probability; 20. Combinatorial games; 21. Borda versus Condorcet; 22. The Sprague–Grundy theorem; 23. Arrow’s impossibility theorem.

2015 253 x 177 mm 352pp 60 b/w illus. 243 tables 300 exercises 978-1-107-08452-0 Hardback c. £30.00 / c. US$50.00 Publication August 2015 For all formats available, see

www.cambridge.org/9781107084520

through the simple worked examples provided.

Cambridge Texts in Applied Mathematics, 52

2015 228 x 152 mm 370pp 15 b/w illus. 2 colour illus.

978-1-107-06057-9 Hardback £70.00 / US$120.00 978-1-107-63069-7 Paperback £35.00 / US$60.00 Publication February 2015 For all formats available, see

www.cambridge.org/9781107060579

Fluid dynamics and solid mechanics Particles in the Coastal Ocean Theory and Applications Daniel R. Lynch Dartmouth College, New Hampshire

Textbook

A Gentle Introduction to Optimization B. Guenin

Numerical analysis

University of Waterloo, Ontario

and L. Tunçel University of Waterloo, Ontario

Assuming only basic linear algebra, this textbook is the perfect starting point for a wide range of undergraduate students from across the mathematical sciences (computer science, engineering, economics, and so on). The authors focus on the fundamental ideas in optimization and motivate the theory with real-world examples and exercises.

Contents: Preface; 1. Introduction; 2. Solving linear programs; 3. Duality through examples; 4. Duality theory; 5. Applications of duality; 6. Solving integer programs; 7. Nonlinear optimization; Appendix A. Computational complexity; References; Index.

2014 247 x 174 mm 279pp 55 b/w illus. 25 colour illus. 20 tables 140 exercises 978-1-107-05344-1 Hardback £50.00 / US$80.00 978-1-107-65879-0 Paperback £25.00 / US$40.00 For all formats available, see

www.cambridge.org/9781107053441

An Introduction to Polynomial and Semi-Algebraic Optimization Jean Bernard Lasserre Centre National de la Recherche Scientifique (CNRS), Toulouse

This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach

Bedford Institute of Oceanography, Dartmouth, Canada

Ata Bilgili Istanbul Technical University

Dennis J. McGillicuddy, Jr

University of Waterloo, Ontario

J. Könemann

David A. Greenberg

Numerical Analysis for Engineers and Scientists G. Miller University of California, Davis

Striking a balance between theory and practice, this graduate-level text is perfect for students in the applied sciences. It provides full coverage of classical methods with a clear explanation of how they work, together with sample programs and many practical examples to help students get started.

2014 247 x 174 mm 581pp 90 b/w illus. 25 tables 70 exercises 978-1-107-02108-2 Hardback £65.00 / US$99.00 For all formats available, see

www.cambridge.org/9781107021082

Acta Numerica 2014 Volume 23 Edited by Arieh Iserles University of Cambridge

Acta Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing.

The papers present overviews of recent developments in their area and provide state-of-the-art techniques and analysis.

Acta Numerica, 23

2014 247 x 174 mm 824pp 978-1-107-06739-4 Hardback £109.00 / US$186.00 For all formats available, see

www.cambridge.org/9781107067394

Woods Hole Oceanographic Institution, Massachusetts

James P. Manning US National Marine Fisheries Service, Woods Hole

and Alfredo L. Aretxabaleta US Geological Survey

This is the first book to summarize the state of the art in modeling and simulation of the transport, evolution and fate of particles in the coastal ocean. It is an invaluable book for advanced students and researchers in oceanography, geophysics, marine and civil engineering, computational science and environmental science.

2015 253 x 177 mm 536pp 220 b/w illus. 34 colour illus. 34 tables 978-1-107-06175-0 Hardback £75.00 / US$125.00 Publication February 2015 For all formats available, see

www.cambridge.org/9781107061750

Flow in Porous Rocks Energy and Environmental Applications Andrew W. Woods BP Institute, University of Cambridge

Using a series of quantitative models combined with analogue experiments, this book explains the recovery of oil and gas from hydrocarbon reservoirs (including fracking), geo-sequestration of CO2, and geothermal power production. Analytical flow solutions and end-of-chapter exercises complete this key resource for researchers, energy industry professionals and graduate students.

2014 247 x 174 mm 289pp 179 b/w illus. 45 colour illus. 24 exercises 978-1-107-06585-7 Hardback £70.00 / US$110.00 For all formats available, see

www.cambridge.org/9781107065857

Fluid dynamics and solid mechanics / Computational science Thermodynamics, Kinetics, and Microphysics of Clouds Vitaly I. Khvorostyanov Central Aerological Observatory, Russia

and Judith A. Curry Georgia Institute of Technology

Thermodynamics, Kinetics, and Microphysics of Clouds extends the subject of cloud microphysics with a unified theoretical foundation that is based on the general principles of thermodynamics and kinetics. It will be invaluable for researchers and advanced students engaged in cloud and aerosol physics, and air pollution and climate research.

2014 253 x 177 mm 800pp 164 b/w illus.

978-1-107-01603-3 Hardback £60.00 / US$99.00 For all formats available, see

www.cambridge.org/9781107016033

Magnetoconvection N. O. Weiss University of Cambridge

and M. R. E. Proctor University of Cambridge

Flow, Deformation and Fracture Lectures on Fluid Mechanics and the Mechanics of Deformable Solids for Mathematicians and Physicists Grigory Isaakovich Barenblatt University of California, Berkeley

An outstanding resource for every teacher and student of the mechanics of continuous media. The author’s unique approach, using the concept of intermediate asymptotics, has been tried and tested over a period of forty years teaching the subject in Russia, Europe and America.

‘Now those not fortunate enough to have been able to attend the course have the opportunity to see what has made it so special. The present book is a masterful exposition of fluid and solid mechanics, informed by the ideas of scaling and intermediate asymptotics, a methodology and point of view of which Professor Barenblatt is one of the originators ... This is indeed a remarkable book.’

Alexandre J. Chorin, from the Foreword

Here, leading experts present the current state of knowledge of the subject of magnetoconvection: the study of the interplay between magnetic fields and convection. The book covers all aspects of the subject from the viewpoint of applied mathematics, and as a branch of astrophysical (or geophysical) fluid dynamics.

Cambridge Texts in Applied Mathematics, 49

Cambridge Monographs on Mechanics

Computational science

2014 247 x 174 mm 432pp 220 b/w illus.

978-0-521-19055-8 Hardback £75.00 / US$120.00

2014 247 x 174 mm 272pp 110 b/w illus.

978-0-521-88752-6 Hardback £65.00 / US$100.00 978-0-521-71538-6 Paperback £30.00 / US$50.00 For all formats available, see

www.cambridge.org/9780521887526

Waves and Mean Flows Second edition Oliver Bühler New York University

A fundamental reference for graduate students and researchers in fluid mechanics. Now revised throughout, it also includes exercises.

Cambridge Monographs on Mechanics

2014 247 x 174 mm 374pp 30 b/w illus. 20 exercises 978-1-107-66966-6 Paperback £30.00 / US$50.00 For all formats available, see

www.cambridge.org/9781107669666

of classical yet always intriguing mathematical, statistical, engineering, economics, and physics problems.

In addition, the book explains a seamless use with Microsoft Word for integrating MATLAB outputs with documents, reports, presentations, or other on-line processes. Advanced topics with examples include: Monte Carlo simulation, population dynamics, and linear programming. Overall, it is an outstanding textbook, and, likewise, should be an integral part of the technical reference shelf for most IT professionals. It is a great resource for wherever MATLAB is available!’

ACM Ubiquity

Contents: Preface; 1. Getting started; 2. MATLAB basics; 3. Interacting with MATLAB; Practice Set A. Algebra and arithmetic; 4. Beyond the basics; 5. MATLAB graphics; 6. MATLAB programming; 7. Publishing and M-books; Practice Set B. Math, graphics, and programming; 8. MuPAD; 9. Simulink; 10. GUIs; 11. Applications; Practice Set C. Developing your MATLAB skills; 12. Troubleshooting; Solutions to the practice sets; Glossary; Index.

2014 247 x 174 mm 330pp 165 b/w illus. 25 tables 40 exercises 978-1-107-66222-3 Paperback £35.00 / US$65.00 For all formats available, see

www.cambridge.org/9781107662223

Python for Scientists John M. Stewart University of Cambridge

For all formats available, see

www.cambridge.org/9780521190558

11

Textbook

A Guide to MATLAB For Beginners and Experienced Users Third edition Brian R. Hunt University of Maryland, College Park

Ronald L. Lipsman

Python is a free and easy-to-use software tool that offers a significant alternative to proprietary packages such as MATLAB and Mathematica. This book explains Python from scratch, covering everything students and researchers need to get up and running. No previous knowledge of the software is required.

2014 247 x 174 mm 230pp 36 b/w illus.

978-1-107-06139-2 Hardback £65.00 / US$100.00 978-1-107-68642-7 Paperback £27.95 / US$40.00 For all formats available, see

www.cambridge.org/9781107061392

University of Maryland, College Park

and Jonathan M. Rosenberg University of Maryland, College Park

Now in its third edition, this outstanding textbook explains everything you need to get started using MATLAB®.

It contains concise explanations of essential MATLAB commands, as well as easily understood instructions for using MATLAB’s programming features, graphical capabilities, simulation models, and rich desktop interface.

Review of previous edition: ‘Major highlights of the book are completely transparent examples

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Programming languages and applied logic / Algorithmics, complexity, computer algebra and computational geometry / Cryptography, cryptology and coding / Computational biology and bioinformatics / Knowledge management, databases, datamining

Programming languages and applied logic Type Theory and Formal Proof An Introduction Rob Nederpelt Technische Universiteit Eindhoven, Holland

and Herman Geuvers Radboud Universiteit Nijmegen

Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This book provides a gentle step-by-step introduction in the art of formalizing mathematics on the basis of type theory. It is suitable for a broad audience, ranging from undergraduate students to researchers.

2014 247 x 174 mm 490pp 35 b/w illus. 125 exercises 978-1-107-03650-5 Hardback £50.00 / US$80.00 For all formats available, see

www.cambridge.org/9781107036505

Algorithmics, complexity, computer algebra and computational geometry Analytic Pattern Matching From DNA to Twitter Philippe Jacquet Institut National de Recherche en Informatique et en Automatique (INRIA), Rocquencourt

and Wojciech Szpankowski Purdue University, Indiana

How do you distinguish a cat from a dog by their DNA? Pattern matching problems like these play a key role in areas such as computer science, telecommunications and molecular biology. In this graduate-level book the authors present a unique probabilistic approach using analytic combinatorics and analytic information theory.

2015 247 x 174 mm 350pp 40 b/w illus. 110 exercises 978-0-521-87608-7 Hardback £45.00 / US$75.00 Publication June 2015 For all formats available, see

www.cambridge.org/9780521876087

Analysis of Boolean Functions Ryan O’Donnell Carnegie Mellon University, Pennsylvania

This graduate-level text gives a thorough overview of the field, beginning with the most basic definitions and proceeding to advanced topics such as hypercontractivity and isoperimetry.

Each chapter includes a ‘highlight application’ such as Arrow’s theorem, the Goldreich–Levin algorithm, hardness of approximation, and ‘sharp threshold’ theorems for random graphs.

2014 228 x 152 mm 444pp 13 b/w illus. 450 exercises 978-1-107-03832-5 Hardback £45.00 / US$70.00

Computational biology and bioinformatics Neuronal Dynamics From Single Neurons to Networks and Models of Cognition Wulfram Gerstner École Polytechnique Fédérale de Lausanne

Werner M. Kistler European Patent Attorney

Richard Naud University of Ottawa

and Liam Paninski

For all formats available, see

Columbia University, New York

www.cambridge.org/9781107038325

Exploring neuron models, the neural code, decision making and learning, this textbook provides a thorough and up-to-date introduction to computational neuroscience for advanced undergraduate and beginning graduate students. With step-by-step explanations, end-of-chapter summaries and classroom-tested exercises, it is ideal for courses or for self-study.

Cryptography, cryptology and coding A Cryptography Primer Secrets and Promises Philip N. Klein Brown University, Rhode Island

This accessible introduction for undergraduates explains the cryptographic protocols for privacy and the use of digital signatures for certifying the integrity of messages and programs.

2014 228 x 152 mm 186pp 72 b/w illus.

978-1-107-01788-7 Hardback £55.00 / US$90.00 978-1-107-60345-5 Paperback £19.99 / US$32.99 For all formats available, see

www.cambridge.org/9781107017887

2014 247 x 174 mm 578pp 280 b/w illus. 6 tables 80 exercises 978-1-107-06083-8 Hardback £65.00 / US$99.00 978-1-107-63519-7 Paperback £32.00 / US$50.00 For all formats available, see

www.cambridge.org/9781107060838

Knowledge management, databases, datamining The Semantic Web Explained The Technology and Mathematics behind Web 3.0 Péter Szeredi Budapest University of Technology and Economics

Gergely Lukácsy Cisco Systems, Ireland

and Tamás Benkő Digital Enterprise Research Institute, Ireland

With contributions by Zsolt Nagy

A textbook based on successful courses taught by the authors. They describe not only the theoretical issues underlying the Semantic Web, but also practical matters, making it valuable for students and practitioners. Supplementary webbased materials include the source code

Knowledge management, databases, datamining / Theoretical physics and mathematical physics / Quantum physics, quantum information and quantum computation / Engineering mathematics and programming of program examples and the syntactic description of various languages.

2014 247 x 174 mm 478pp 117 b/w illus. 195 exercises 978-0-521-70036-8 Paperback £35.00 / US$50.00 For all formats available, see

www.cambridge.org/9780521700368

Who’s Bigger?

Where Historical Figures Really Rank Steven S. Skiena State University of New York, Stony Brook

and Charles B. Ward Google, Inc., Mountain View, California

Data-driven rankings of thousands of history’s most significant people in science, politics, entertainment, and all areas of human endeavor.

2013 228 x 152 mm 391pp 101 b/w illus. 2 maps 176 tables 978-1-107-04137-0 Hardback £18.99 / US$27.99 For all formats available, see

www.cambridge.org/9781107041370

Theoretical physics and mathematical physics Scattering Amplitudes in Gauge Theory and Gravity Henriette Elvang University of Michigan, Ann Arbor

and Yu-tin Huang

The Bethe Wavefunction Michel Gaudin Translated by Jean-Sébastien Caux Universiteit van Amsterdam

Translation of an influential book on exactly solvable models of many-body physics for graduate students and researchers in physics.

2014 247 x 174 mm 360pp 27 b/w illus.

978-1-107-04585-9 Hardback £70.00 / US$110.00 For all formats available, see

www.cambridge.org/9781107045859

Principles of Discrete Time Mechanics George Jaroszkiewicz University of Nottingham

A unique introduction to the chronon hypothesis, systematically building the theory up from scratch.

Cambridge Monographs on Mathematical Physics

2014 247 x 174 mm 360pp 21 b/w illus.

978-1-107-03429-7 Hardback £85.00 / US$130.00 For all formats available, see

www.cambridge.org/9781107034297

Quantum physics, quantum information and quantum computation

National Taiwan University

Providing a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity, this book is ideal for graduate students and researchers. It offers a smooth transition from basic knowledge of quantum field theory to the frontier of modern research.

Advanced Concepts in Quantum Mechanics

2015 246 x 189 mm 323pp 137 b/w illus. 153 exercises 978-1-107-06925-1 Hardback £40.00 / US$65.00

and George Sudarshan

For all formats available, see

www.cambridge.org/9781107069251

Giampiero Esposito Università degli Studi di Napoli ‘Federico II’

Giuseppe Marmo Università degli Studi di Napoli ‘Federico II’

Gennaro Miele Università degli Studi di Napoli ‘Federico II’ University of Texas, Austin

Ideal for advanced undergraduate and graduate students in quantum mechanics and mathematical physics, this book introduces a geometric view of fundamental physics. Focusing on structural issues and geometric ideas, this book guides readers from the

13

concepts of classical mechanics to those of quantum mechanics.

2014 246 x 189 mm 397pp 25 b/w illus. 79 exercises 978-1-107-07604-4 Hardback £55.00 / US$85.00 For all formats available, see

www.cambridge.org/9781107076044

Engineering mathematics and programming Mathematical Methods in Engineering Joseph M. Powers University of Notre Dame, Indiana

and Mihir Sen University of Notre Dame, Indiana

This book is designed for engineering graduate students. It connects mathematics to a variety of methods used for engineering problems by walking the reader stepwise through examples that have been worked in detail, followed by numerous homework problems to reinforce learning and connect the subject matter to engineering applications.

2015 253 x 177 mm 700pp 225 b/w illus. 479 exercises 978-1-107-03704-5 Hardback £65.00 / US$120.00 Publication April 2015 For all formats available, see

www.cambridge.org/9781107037045

Static Green’s Functions in Anisotropic Media Ernian Pan University of Akron, Ohio

and Weiqiu Chen Zhejiang University, China

This book presents basic theory on static Green’s functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. It is an ideal reference book for researchers and engineers, and a textbook for both students in engineering and applied mathematics.

2015 253 x 177 mm 396pp 113 b/w illus. 10 tables 122 exercises 978-1-107-03480-8 Hardback £85.00 / US$135.00 Publication March 2015 For all formats available, see

www.cambridge.org/9781107034808

eBooks available at www.cambridge.org/ebookstore

14

Thermal-fluids engineering

Thermal-fluids engineering Textbook

Acoustics and Aerodynamic Sound Michael Howe Boston University

This book provides an introductory account of the theory of sound production and propagation and its interactions with solid structures. It includes general theory, diffraction and scattering theory, aerodynamic sound and fluid-structure-acoustic interactions, and a chapter of worked examples. It is intended for courses on acoustics at the advanced undergraduate or graduate level.

Contents: 1. Introduction; 2. More on Green’s function; 3. Piston and diffraction problems; 4. Aerodynamic sound; 5. Aperture and duct problems; 6. Solutions of starred problems.

New in Paperback

Computational Fluid Dynamics Second edition T. J. Chung University of Alabama, Huntsville

In this second edition, the author presents up-to-date treatments of computational methods of fluid dynamics, including finite differences, finite elements, and finite volumes.

Physical applications to turbulence, combustion, acoustics, radiative heat transfer, multiphase flow, electromagnetic flow, and general relativity assist the reader in practical use of computational schemes.

Homework problems and computer programs demonstrating solutions of all speed regimes are available.

2014 253 x 177 mm 1055pp 349 b/w illus. 28 tables 32 exercises 978-1-107-42525-5 Paperback £55.00 / US$85.00 Also available 978-0-521-76969-3 Hardback £84.99 / US$169.99

2015 234 x 156 mm 304pp 118 b/w illus. 4 tables 67 exercises 978-1-107-04440-1 Hardback £55.00 / US$99.00

For all formats available, see

For all formats available, see

New in Paperback

www.cambridge.org/9781107044401

Advanced Computational Vibroacoustics Reduced-Order Models and Uncertainty Quantification Roger Ohayon Conservatoire National des Arts et Métiers (CNAM), Paris

and Christian Soize Université Paris-Est

This book presents an advanced computational method for the prediction of sound and structural vibrations, complex structural acoustics and fluid-structure interaction systems encountered in aerospace, automotive, railway, naval, and energy-production industries. Written for the global market, it is an invaluable resource for researchers, students, and engineers.

2014 234 x 156 mm 136pp 16 b/w illus.

978-1-107-07171-1 Hardback £60.00 / US$95.00 For all formats available, see

www.cambridge.org/9781107071711

www.cambridge.org/9781107425255

Textbook

Convective Heat and Mass Transfer S. Mostafa Ghiaasiaan

among momentum, heat, and mass transfer processes; 10. Natural convection; 11. Mixed convection; 12. Turbulence transport models; 13. Flow and heat transfer in miniature channels; Appendices.

2014 253 x 177 mm 528pp 140 b/w illus. 34 tables 147 exercises 978-1-107-65831-8 Paperback £38.99 / US$65.00 Also available 978-1-107-00350-7 Hardback £109.99 / US$159.99 For all formats available, see

www.cambridge.org/9781107658318

Adhesive Particle Flow A Discrete-Element Approach Jeffery S. Marshall University of Vermont

and Shuiqing Li Tsinghua University, Beijing

Adhesive Particle Flow offers a comprehensive treatment of adhesive particle flows at the particle level. This book adopts a particle-level approach oriented toward directly simulating the various fluid, electric field, collision, and adhesion forces and torques acting on the particles, within the framework of a discrete-element model.

2014 253 x 177 mm 355pp 208 b/w illus. 11 tables 978-1-107-03207-1 Hardback £85.00 / US$135.00 For all formats available, see

www.cambridge.org/9781107032071

Georgia Institute of Technology

Heat Transfer Physics

This book is ideal for a graduate course on convection heat and mass transfer.

It treats well-established theory and practice but is also enriched by coverage of areas such as flow in microchannels, computational fluid dynamics-based design and analysis methods. Numerous examples, exercises and solutions are included.

Second edition Massoud Kaviany

‘Throughout the whole book, the author has made large pedagogical efforts in order to help the reader who tries to assimilate the different notions which are presented. The book will be useful for students who want to be acquainted with the thermodynamics of fluid flows and to researchers who will find here a complete survey of this science.’

Alain Brillard, Zentralblatt MATH

Contents: 1. Thermophysical and transport fundamentals; 2. Boundary layers; 3. External laminar flow: similarity solutions for forced laminar boundary layers; 4. Internal laminar flow; 5. Integral methods; 6. Fundamentals of turbulence and external turbulent flow; 7. Internal turbulent flow; 8. Effect of transpiration on friction, heat and mass transfer; 9. Analogy

University of Michigan, Ann Arbor

This graduate textbook describes atomic-level kinetics of thermal energy storage, transport, and transformation by principal energy carriers.

2014 253 x 177 mm 788pp 388 b/w illus. 72 tables 165 exercises 978-1-107-04178-3 Hardback £75.00 / US$120.00 For all formats available, see

www.cambridge.org/9781107041783

Chemical engineering / Control systems and optimization / Solid mechanics and materials

Chemical engineering

programming; 10. Dynamic programming; 11. Optimization applications for transportation, assignment, and network problems; 12. Finite element based optimization.

Solid mechanics and materials

Mathematical Modeling in Chemical Engineering

2014 234 x 156 mm 480pp 203 b/w illus. 17 tables 256 exercises 978-1-107-67417-2 Paperback £36.99 / US$55.99

Dynamics

Anders Rasmuson Chalmers University of Technology, Gothenberg

Bengt Andersson Chalmers University of Technology, Gothenberg

Louise Olsson

Also available 978-0-521-87846-3 Hardback £74.99 / US$134.99 For all formats available, see

www.cambridge.org/9781107674172

Chalmers University of Technology, Gothenberg

and Ronnie Andersson

New in Paperback

Chalmers University of Technology, Gothenberg

Textbook

A solid introduction, enabling the reader to successfully formulate, construct, simplify, evaluate and use mathematical models in chemical engineering.

2014 247 x 174 mm 192pp 99 b/w illus. 40 tables 978-1-107-04969-7 Hardback £40.00 / US$65.00 For all formats available, see

www.cambridge.org/9781107049697

Dynamic Modeling and Control of Engineering Systems Third edition Bohdan T. Kulakowski Pennsylvania State University

John F. Gardner Boise State University, Idaho

and J. Lowen Shearer Pennsylvania State University

Control systems and optimization New in Paperback Textbook

Optimization Concepts and Applications in Engineering Second edition Ashok D. Belegundu Pennsylvania State University

and Tirupathi R. Chandrupatla Rowan University, New Jersey

This second edition considers how to meet or exceed previous quality and reliability standards while also reducing resource consumption. It covers a variety of optimization problems using: unconstrained, constrained, gradient, and non-gradient techniques; duality concepts; multiobjective optimization; linear, integer, geometric, and dynamic programming with applications; and finite element–based optimization.

Contents: 1. Preliminary concepts; 2. One dimensional unconstrained minimization; 3. Unconstrained optimization; 4. Linear programming; 5. Constrained minimization; 6. Penalty functions, duality, and geometric programming; 7. Direct search methods for nonlinear optimization; 8. Multiobjective optimization; 9. Integer and discrete

This is a textbook for undergraduate courses in systems dynamics and controls. It presents a comprehensive treatment of the analysis of lumped parameter physical systems. Beginning with a discussion of mathematical models and ODEs, the book covers input/output and state space models, computer simulation, and modeling methods and techniques in mechanical, electrical, thermal and fluid domains.

Contents: Preface; 1. Introduction; 2. Mechanical systems; 3. Mathematical models; 4. Analytical solutions of system input-output equations; 5. Numerical solutions of ordinary differential equations; 6. Simulation of dynamic systems; 7. Electrical systems; 8. Thermal systems; 9. Fluid systems; 10. Mixed systems; 11. Transfer functions; 12. Frequency analysis; 13. Closed-loop systems and system stability; 14. Control systems; 15. Analysis of discrete-time systems; 16. Digital control systems; Appendix 1. Fourier series and the Fourier transformation; Appendix 2. Laplace transformations; Appendix 3. Matlab tutorial; Appendix 4. Simulink tutorial; Index.

2014 253 x 177 mm 502pp 978-1-107-65044-2 Paperback £47.00 / US$65.00 Also available 978-0-521-86435-0 Hardback £69.99 / US$144.99 For all formats available, see

www.cambridge.org/9781107650442

15

Theory and Application of Kane’s Method Carlos M. Roithmayr NASA-Langley Research Center

and Dewey H. Hodges Georgia Institute of Technology

This is a textbook for advanced students in engineering or physics, as well as a reference for professionals interested in deriving equations that govern the motions of mechanical systems. It presents Kane’s method, which is suited for dealing with multibody system. The text analyzes the dynamics of complex spacecraft and robotic devices.

2015 253 x 177 mm 536pp 217 b/w illus. 34 tables 253 exercises 978-1-107-00569-3 Hardback £75.00 / US$135.00 Publication July 2015 For all formats available, see

www.cambridge.org/9781107005693

Ultrasonic Guided Waves in Solid Media Joseph L. Rose Pennsylvania State University

Ultrasonic guided waves in solid media are important in nondestructive testing and structural health monitoring, as new faster, sensitive, and economical ways of looking at materials and structures have become possible. This book can be read by managers from a ‘black box’ point of view, or used as a professional reference or textbook.

2014 253 x 177 mm 530pp 390 b/w illus. 35 tables 334 exercises 978-1-107-04895-9 Hardback £55.00 / US$99.00 For all formats available, see

www.cambridge.org/9781107048959

New in Paperback Textbook

Vibration of Mechanical Systems Alok Sinha Pennsylvania State University

This is a brief yet complete textbook for a first course in mechanical vibrations.

In this book, all the basic concepts in mechanical vibration are clearly identified and presented in a simple manner with illustrative and practical examples. There are more than sixty exercise problems, and a complete

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Solid mechanics and materials / Microeconomics / Econometrics, statistics and mathematical economics / Finance solutions manual. The use of MATLAB® software is emphasized.

Contents: 1. Equivalent single degree of freedom system and free vibration; 2. Vibration of a single degree of freedom system under constant and purely harmonic excitation; 3. Responses of a SDOF spring-mass-damper system to periodic and arbitrary forces; 4. Vibration of two degrees of freedom systems; 5. Finite and infinite (continuous) dimensional systems; References; Appendix A; Appendix B; Appendix C. 2014 228 x 152 mm 326pp 225 b/w illus. 2 tables 60 exercises 978-1-107-69417-0 Paperback £40.00 / US$64.99 Also available 978-0-521-51873-4 Hardback £54.99 / US$84.99 For all formats available, see

www.cambridge.org/9781107694170

Microeconomics Highlight

Repeated Games Jean-François Mertens Sylvain Sorin Université de Paris VI (Pierre et Marie Curie)

and Shmuel Zamir Hebrew University of Jerusalem and University of Exeter

Based on a set of working papers published by the Center for Operations Research and Econometrics (CORE) at the Université Catholique de Louvain in 1994, this landmark work significantly advances the literature on game theory with its masterful conceptual presentation. Challenging and important problems are set up as exercises, with detailed hints for their solutions.

‘In the early 1990s, Jean-François Mertens, Sylvain Sorin, and Shmuel Zamir collaborated on a series of deep papers on repeated games, which, unfortunately, they never published.

Happily, this book at long last makes their important and still highly pertinent work widely accessible.’

Eric Maskin, Nobel Laureate in Economics, Harvard University Econometric Society Monographs, 55

2015 228 x 152 mm 546pp 22 b/w illus. 18 exercises 978-1-107-03020-6 Hardback £75.00 / US$125.00 978-1-107-66263-6 Paperback £39.99 / US$59.99 For all formats available, see

www.cambridge.org/9781107030206

Econometrics, statistics and mathematical economics Textbook

Applied Nonparametric Econometrics Daniel J. Henderson University of Alabama

and Christopher F. Parmeter University of Miami

The majority of empirical research in economics ignores the potential benefits of nonparametric methods, while the majority of advances in nonparametric theory ignore the problems faced in applied econometrics. This book helps bridge this gap between applied economists and theoretical nonparametric econometricians, discussing basic to advanced nonparametric methods with applications.

Advance praise: ‘A clear and thorough treatment of nonparametric and semiparametric econometrics. The text will be valuable to empirical researchers, who can expand their methodological toolkits without resorting to difficult journal articles. Even advanced topics, such as nonparametric instrumental variables and nonparametric models with panel data, are treated at an accessible level.’

Jeffrey M. Wooldridge, Michigan State University

Contents: 1. Introduction; 2. Univariate density estimation; 3. Multivariate density estimation; 4. Testing; 5. Regression; 6. Testing; 7. Smoothing discrete variables; 8. Regression with discrete covariates; 9. Semiparametric methods; 10. Instrumental variables; 11. Panel data; 12. Constrained estimation and inference.

2015 253 x 177 mm 462pp 81 b/w illus. 34 tables 978-1-107-01025-3 Hardback £75.00 / US$125.00 978-0-521-27968-0 Paperback £30.00 / US$49.99 Publication March 2015 For all formats available, see

www.cambridge.org/9781107010253

Finance Textbook

Valuation and Risk Management in Energy Markets Glen Swindle Scoville Risk Partners

Valuation and Risk Management in Energy Markets surveys the mechanics of energy markets and the valuation of structures commonly arising in practice.

Contents: Part I. Introduction to Energy Commodities: 1. Context; 2. Forwards and carry; 3. Macro perspective; Part II. Basic Valuation and Hedging: 4. Risk-neutral valuation; 5. Dynamics of forwards; 6. Swaps books; Part III. Primary Valuation Issues: 7. Term structure of volatility; 8. Skew; 9. Correlation; Part IV. MultiFactor Models: 10. Covariance, spot prices, and factor models; 11. Gaussian exponential factor models; 12. Modeling paradigms; Part V. Advanced Methods and Structures: 13. Natural gas storage; 14. Tolling deals; 15. Variable quantity swaps; Part VI. Additional Topics: 16. Control, risk metrics, and credit; 17. Conclusions; Appendices.

2014 253 x 177 mm 494pp 258 b/w illus. 5 tables 978-1-107-03684-0 Hardback £75.00 / US$110.00 For all formats available, see

www.cambridge.org/9781107036840

New in Paperback

Commodity Price Dynamics A Structural Approach Craig Pirrong University of Houston

This book utilizes structural models to provide a better understanding of how commodities’ prices behave and what drives them.

2014 229 x 152 mm 240pp 62 b/w illus. 8 tables 978-1-107-61633-2 Paperback £21.99 / US$32.99 Also available 978-0-521-19589-8 Hardback £74.99 / US$114.99 For all formats available, see

www.cambridge.org/9781107616332

Also of interest

17

Also of interest Interpreting Gödel Critical Essays Edited by Juliette Kennedy University of Helsinki

In this groundbreaking volume, leading philosophers and mathematicians explore almost every aspect of Kurt Gödel’s work on the foundations and philosophy of mathematics. It will be invaluable to students, historians, logicians and philosophers who wish to understand the current thinking on Gödel’s intellectual legacy.

2014 228 x 152 mm 288pp 978-1-107-00266-1 Hardback £60.00 / US$95.00 For all formats available, see

www.cambridge.org/9781107002661

The Art of Lecturing A Practical Guide to Successful University Lectures and Business Presentations Parham Aarabi University of Toronto

An accessible, example-based guide to effective strategies for successful academic and business lectures.

2007 228 x 152 mm 166pp 978-0-521-70352-9 Paperback £17.99 / US$29.99 For all formats available, see

www.cambridge.org/9780521703529

The Cambridge Companion to Einstein Edited by Michel Janssen University of Minnesota

and Christoph Lehner Max-Planck-Institut für Wissenschaftsgeschichte, Berlin

These fourteen essays by leading historians and philosophers of science introduce the reader to the work of Albert Einstein. Following an introduction that places Einstein’s work in the context of his life and times, the essays explain his main contributions to physics in terms that are accessible to a general audience.

Cambridge Companions to Philosophy

2014 228 x 152 mm 575pp 47 b/w illus.

978-0-521-82834-5 Hardback £65.00 / US$99.00 978-0-521-53542-7 Paperback £22.99 / US$36.99 For all formats available, see

www.cambridge.org/9780521828345

Visit our website at www.cambridge.org/academic

18

Index A

D

Aarabi, Parham......................................17 Acoustics and Aerodynamic Sound..........14 Acta Numerica 2014..............................10 Adhesive Particle Flow............................14 Advanced Computational Vibroacoustics.14 Advanced Concepts in Quantum Mechanics...........................................13 Analysis of Boolean Functions................12 Analytic Pattern Matching......................12 Andersson, Bengt...................................15 Andersson, Ronnie.................................15 Applied Algebra and Number Theory.........6 Applied Nonparametric Econometrics......16 Aretxabaleta, Alfredo L...........................10 Art of Lecturing, The...............................17 Arzhantsev, Ivan.......................................5 Automorphic Forms and Galois Representations....................................3 Automorphisms and Equivalence Relations in Topological Dynamics..........5

Da Prato, Giuseppe...................................9 de Freitas, Elizabeth..................................1 Deift, Percy...............................................8 Derenthal, Ulrich......................................5 Diamond, Fred..........................................3 Difference Equations by Differential Equation Methods.................................8 Downey, Rod............................................2 Dudley, R. M.............................................8 Dunkl, Charles F........................................5 Dynamic Modeling and Control of Engineering Systems............................15 Dynamics...............................................15

B Baaz, Matthias.........................................2 Barenblatt, Grigory Isaakovich................11 Basic Category Theory..............................2 Beineke, Lowell W.....................................6 Belegundu, Ashok D...............................15 Benkő, Tamás.........................................12 Bethe Wavefunction, The........................13 Bilgili, Ata..............................................10 Bistritz, Ilai...............................................6 Bloch–Kato Conjecture for the Riemann Zeta Function, The.................................4 Borwein, Jonathan...................................3 Brambila-Paz, Leticia................................5 Breuillard, Emmanuel...............................4 Bühler, Oliver..........................................11 Burn, R. P.................................................4

C Cabrera García, Miguel.............................3 Calculus for the Ambitious........................5 Cambridge Companion to Einstein, The...17 Capiński, Maciej J.....................................8 Catalan Numbers.....................................6 Categorical Homotopy Theory...................6 Cauchy Problem for Non-Lipschitz SemiLinear Parabolic Partial Differential Equations, The.......................................9 Caux, Jean-Sébastien.............................13 Chance, Strategy, and Choice....................9 Chandrupatla, Tirupathi R.......................15 Chang, Mou-Hsiung.................................7 Chen, Weiqiu.........................................13 Chung, T. J..............................................14 Coates, John............................................4 Commodity Price Dynamics.....................16 Computational Fluid Dynamics...............14 Computing Universe, The..........................1 Concise Text on Advanced Linear Algebra, A.............................................2 Conrad, Brian...........................................3 Convective Heat and Mass Transfer.........14 Course in Mathematical Analysis, A....... 4, 5 Cox Rings................................................5 Cryptography Primer, A...........................12 Cucker, Felipe...........................................1 Curry, Judith A........................................11

Introduction to Computational Stochastic PDEs, An...............................9 Introduction to Polynomial and SemiAlgebraic Optimization, An..................10 Iserles, Arieh...........................................10

J Jacquet, Philippe....................................12 Janssen, Michel......................................17 Jaroszkiewicz, George.............................13

K

Finite-Difference Modelling of Earthquake Motions, The.......................9 Flow in Porous Rocks..............................10 Flow, Deformation and Fracture..............11 Forrester, Peter.........................................8 Fricain, Emmanuel....................................7

Kassaei, Payman L....................................3 Kaviany, Massoud..................................14 Kennedy, Juliette....................................17 Khvorostyanov, Vitaly I............................11 Kim, Minhyong.........................................3 Kistler, Werner M....................................12 Klein, Philip N.........................................12 Knots and Borromean Rings, Rep-Tiles, and Eight Queens..................................1 Kochman, Yuval........................................6 Könemann, J..........................................10 Kopp, Ekkehard........................................8 Körner, T. W..............................................5 Koskela, Pekka.........................................7 Kristek, Jozef............................................9 Kulakowski, Bohdan T.............................15 Kurt Gödel and the Foundations of Mathematics.........................................2

G

L

E Eguchi, Tohru...........................................6 Eliashberg, Yakov.....................................6 Ellis, David B.............................................5 Ellis, Robert..............................................5 Elvang, Henriette....................................13 Esposito, Giampiero................................13

F

Gabber, Ofer.............................................3 Gális, Martin............................................9 Games and Mathematics..........................1 Games of No Chance 4............................7 García-Prada, Oscar..................................5 Gardner, John F.......................................15 Gardner, Martin........................................1 Garling, D. J. H...................................... 4, 5 Gaudin, Michel.......................................13 Gentle Introduction to Optimization, A....10 Gerstner, Wulfram..................................12 Geuvers, Herman....................................12 Ghiaasiaan, S. Mostafa...........................14 Greenberg, David A................................10 Group Cohomology and Algebraic Cycles..2 Guenin, B...............................................10 Guide to MATLAB, A..............................11

H Hacon, Christopher D................................6 Harper, Jr, Charles L..................................2 Hausen, Jürgen........................................5 Heat Transfer Physics..............................14 Heinonen, Juha........................................7 Henderson, Daniel J................................16 Hey, Tony.................................................1 Hodges, Dewey H...................................15 Hofmann, Dirk..........................................2 Howe, Michael.......................................14 Huang, Yu-tin.........................................13 Hunt, Brian R..........................................11 Hydon, Peter E..........................................8

I Interpreting Gödel..................................17

Laface, Antonio........................................5 Larcher, Gerhard.......................................6 Lasserre, Jean Bernard............................10 Lattice Coding for Signals and Networks...6 Lectures on Lyapunov Exponents..............8 Lehner, Christoph...................................17 Leinster, Tom............................................2 Li, Shuiqing............................................14 Lipsman, Ronald L..................................11 Logic of Infinity, The..................................1 Lord, Gabriel J..........................................9 Lukácsy, Gergely.....................................12 Lynch, Daniel R.......................................10

M Maeda, Yoshiaki.......................................6 Magnetoconvection................................11 Manifold Mirrors......................................1 Manning, James P...................................10 Marmo, Giuseppe...................................13 Marshall, Jeffery S...................................14 Mashreghi, Javad.....................................7 Mathematical Methods in Engineering....13 Mathematical Modeling in Chemical Engineering.........................................15 Mathematics and the Body.......................1 McGillicuddy, Jr, Dennis J........................10 McKean, Henry.........................................7 Mertens, Jean-François...........................16 Meyer, J. C................................................9 Miele, Gennaro.......................................13 Miller, G.................................................10 Moczo, Peter............................................9 Moduli Spaces..........................................5 Monoidal Topology...................................2 Mustaţă, Mircea.......................................6

Index N

Q

T

Nagy, Zsolt.............................................12 Naud, Richard........................................12 Nazer, Bobak............................................6 Nederpelt, Rob.......................................12 Needham, D. J..........................................9 Neuronal Dynamics................................12 Neverending Fractions..............................3 Newstead, Peter.......................................5 Non-Associative Normed Algebras............3 Nowakowski, Richard J.............................7 Number Theory, Fourier Analysis and Geometric Discrepancy..........................4 Numbers and Functions............................4 Numerical Analysis for Engineers and Scientists.............................................10

Quantum Stochastics................................7

Theory of H(b) Spaces, The........................7 Thermodynamics, Kinetics, and Microphysics of Clouds........................11 Thin Groups and Superstrong Approximation......................................4 Tholen, Walter..........................................2 Thomas, Richard P.....................................5 Topics in Chromatic Graph Theory.............6 Totaro, Burt..............................................2 Travaglini, Giancarlo.................................4 Tunçel, L.................................................10 Turing’s Legacy.........................................2 Type Theory and Formal Proof.................12 Tyson, Jeremy T.........................................7

O O’Donnell, Ryan.....................................12 O’Farrell, Anthony G.................................9 Oh, Hee...................................................4 Ohayon, Roger.......................................14 Ollivier, Yann............................................6 Olsson, Louise........................................15 Optimal Transport.....................................6 Optimization Concepts and Applications in Engineering.....................................15 Orthogonal Polynomials of Several Variables...............................................5

P Pajot, Hervé.............................................6 Pan, Ernian.............................................13 Paninski, Liam........................................12 Papadimitriou, Christos H.........................2 Pápay, Gyuri.............................................1 Paris, Jeffrey.............................................2 Parmeter, Christopher F...........................16 Particles in the Coastal Ocean.................10 Pillichshammer, Friedrich...........................6 Pirrong, Craig.........................................16 Popa, Mihnea...........................................6 Portfolio Theory and Risk Management.....8 Powell, Catherine E..................................9 Powers, Joseph M...................................13 Prasad, Amritanshu..................................2 Prasad, Gopal...........................................3 Principles of Discrete Time Mechanics.....13 Probability: The Classical Limit Theorems...7 Proctor, M. R. E.......................................11 Pseudo-reductive Groups..........................3 Pure Inductive Logic.................................2 Putnam, Hilary W......................................2 Python for Scientists...............................11

R Raghuram, A............................................4 Random Matrix Theory, Interacting Particle Systems and Integrable Systems.8 Rasmuson, Anders..................................15 Recent Advances in Algebraic Geometry....6 Repeated Games....................................16 Representation Theory..............................2 Reversibility in Dynamics and Group Theory...................................................9 Riehl, Emily..............................................6 Rodríguez Palacios, Ángel.........................3 Roithmayr, Carlos M...............................15 Romik, Dan..............................................8 Rose, Joseph L........................................15 Rosenberg, Jonathan M..........................11

19

U Ultrasonic Guided Waves in Solid Media.15 Uniform Central Limit Theorems................8

S

V

Saikia, Anupam........................................4 Scattering Amplitudes in Gauge Theory and Gravity..........................................13 Scott, Dana S............................................2 Seal, Gavin J.............................................2 Semantic Web Explained, The.................12 Sen, Mihir..............................................13 Shallit, Jeffrey...........................................3 Shanmugalingam, Nageswari...................7 Shardlow, Tony.........................................9 Shearer, J. Lowen....................................15 Sheppard, Barnaby...................................1 Short, Ian.................................................9 Sinclair, Nathalie......................................1 Sinha, Alok.............................................15 Skiena, Steven S.....................................13 Smith, Samuel Bruce.................................9 Sobolev Spaces on Metric Measure Spaces..................................................7 Soize, Christian.......................................14 Sorin, Sylvain..........................................16 Stanley, Richard P.....................................6 Static Green’s Functions in Anisotropic Media.................................................13 Stewart, John M.....................................11 Stochastic Equations in Infinite Dimensions...........................................9 Sudarshan, George.................................13 Sujatha, R................................................4 Surprising Mathematics of Longest Increasing Subsequences, The................8 Swindle, Glen.........................................16 Symplectic, Poisson, and Noncommutative Geometry...................6 Szeredi, Péter.........................................12 Szpankowski, Wojciech...........................12

Valuation and Risk Management in Energy Markets...................................16 van der Poorten, Alf..................................3 Vencovská, Alena.....................................2 Viana, Marcelo.........................................8 Vibration of Mechanical Systems.............15 Villani, Cedric...........................................6

W Ward, Charles B......................................13 Waves and Mean Flows..........................11 Weiss, N. O.............................................11 Wells, David.............................................1 Who’s Bigger?........................................13 Wilson, Robin J.........................................6 Winterhof, Arne........................................6 Woods, Andrew W..................................10

X Xing, Chaoping........................................6 Xu, Yuan..................................................5

Y Yang, Yisong............................................2

Z Zabczyk, Jerzy..........................................9 Zamir, Ram...............................................6 Zamir, Shmuel........................................16 Zudilin, Wadim.........................................3

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