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Contents General Mathematics ........................................3 Recreational Mathematics and Popular Science ..6 Algebra ............................................................9 Geometry and Topology ................................10 Differential Equations ......................................11 Page 3

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Real, Complex, and Functional Analysis ..........14 Computation and Numerical Analysis ............15 Discrete Mathematics and Cryptography........17 Applied Mathematics ......................................20 Mathematics for Engineering and Physics ......21 Mathematics for Biology and Medicine ..........26 Probability and Operations Research ..............27

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Financial Mathematics ....................................29

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General Mathematics Coming soon!


CRC Standard Mathematical Tables and Formulae

A Concise Handbook of Mathematics, Physics, and Engineering Sciences

32nd Edition Daniel Zwillinger Raytheon Corporation, Newton, Massachusetts, USA

Praise for Previous Editions “An excellent reference resource for all readership levels, this guide offers easy navigation through a browseable table of contents and an extensive index. It follows a natural progression for those studying the subject. It is logical, useful, and affordable. Summing up: Highly Recommended.” —CHOICE, September 2003

“… Mathematicians will find this handbook indispensable — an absolute must-have desk reference. The ready access of tables that may be needed in mathematical endeavors will make life much easier for engineers, scientists, mathematicians, or even for those who are in the process of studying these and related subjects.” —John Vacca, The Barnes & Noble Review

With over 6,000 entries, this comprehensive handbook continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. Along with a new chapter on mathematical formulae from the sciences, the latest edition includes new material on contingency tables, estimators, process capability, runs test, sample sizes, cellular automata, knot theory, music, quaternions, and rational trigonometry. It also offers updated and more streamlined tables while retaining the successful format of previous editions. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental reference material. Catalog no. K11596, June 2011, c. 830 pp. ISBN: 978-1-4398-3548-7, $69.95 / £44.99

Andrei D. Polyanin Russian Academy of Sciences, Moscow

Alexei I. Chernoutsan Gubkin Russian State University of Oil and Gas, Moscow

“Concise presentation (without proofs), mindfulness of differing mathematical backgrounds (avoidance of special terminology when possible), and emphasis on practical aspects (formulas, problems, methods, and laws that occur frequently in engineering applications) contribute to the usefulness of this single-volume reference. Many sections are self contained; subsections are arranged in increasing order of complexity…” —SciTech Book News, February 2011

This handbook takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students find difficult to understand. The main text offers a concise, coherent survey of the most important definitions, formulas, equations, methods, theorems, and laws. Numerous examples throughout and references at the end of each chapter provide readers with a better understanding of the topics and methods. Additional issues of interest can be found in the remarks. For ease of reading, the supplement at the back of the book provides several long mathematical tables, including indefinite and definite integrals, direct and inverse integral transforms, and exact solutions of differential equations. Several features, including font highlighting and cross-references, also help readers find the desired information. Catalog no. K10319, January 2011, 1125 pp. ISBN: 978-1-4398-0639-5, $99.95 / £63.99

For more information and complete contents, visit


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General Mathematics Textbook Textbook


Mathematics for the Environment Martin Walter


A Concise Introduction to Pure Mathematics Third Edition

University of Colorado, Boulder, USA

Martin Liebeck

A truly interdisciplinary, concrete study of mathematics, this classroom-tested text shows how to employ simple mathematical tools, such as arithmetic, to uncover fundamental conflicts between the logic of human civilization and the logic of Nature. These tools can then be used to understand and effectively deal with economic, environmental, and social issues. Only requiring proficiency in high school-level mathematics, the text includes numerous applications and offers many problem sets within each section.

“… an updated and expanded third edition … provides an informed and informative presentation into a representative selection of fundamental ideas in mathematics … . Of special note is the inclusion of solutions to all of the oddnumbered exercises. An ideal, accessible, elegant, student-friendly, and highly recommended choice for classroom textbooks for high school and college level mathematics curriculums … .”

Catalog no. K11565, January 2011, 679 pp. ISBN: 978-1-4398-3472-5, $89.95 / £57.99

Imperial College, London, UK

—Library Bookwatch, December 2010

Catalog no. K11624, January 2011, 268 pp. Soft Cover, ISBN: 978-1-4398-3598-2 $59.95 / £25.99

Coming soon!



A Mathematical Look at Politics E. Arthur Robinson, Jr. and Daniel H. Ullman George Washington University, Washington, D.C., USA

Mathematical and Algorithmic Foundations of the Internet Fabrizio Luccio and Linda Pagli University of Pisa, Italy

Graham Steel LSV, CNRS & ENS de Cachan, France

“… The authors have provided a lively, masterful, but easy-to-read introduction to a complex subject by enriching mathematical concepts with delightful paradigms and historical material. A pleasure to read for all students.”

With record voter turnouts for the 2008 presidential election, interest in the U.S. electoral system and voting has never been higher. Based the authors’ popular course, this text explores the mathematics of politics, showing how mathematical reasoning is connected to the pressing issues of contemporary politics and in the liberal arts. Focusing on voting, apportionment, conflict, and the Electoral College, each part of the text examines a type of decision problem and a way to solve it.

This book introduces the vast wealth of mathematical concepts and methods on which the Internet depends. The authors provide complete discussions of sequences, exponential growth, algorithms and complexity, randomness, graphs and networks, search engines, parallel and distributed computation, and cryptography.

Catalog no. K11044, January 2011, 477 pp. ISBN: 978-1-4398-1983-8, $49.95 / £30.99

Catalog no. K11530, July 2011, c. 223 pp. ISBN: 978-1-4398-3138-0, $59.95 / £39.99


—Evangelos Kranakis, Carleton University, Ottawa, Ontario, Canada

The Latest Books in Mathematics from Chapman & Hall/CRC Press

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General Mathematics New!

A Student’s Guide to the Study, Practice, and Tools of Modern Mathematics Donald Bindner and Martin Erickson


You Can Count on Monsters The First 100 Numbers and Their Characters Richard Evan Schwartz

Truman State University, Kirksville, Missouri, USA

Brown University, Providence, Rhode Island, USA

“A Student’s Guide provides a useful service by gathering into one place information that students might otherwise be expected to learn by osmosis.”

“This is one of the most amazing math books for kids I have ever seen … Great colors, it’s wonderful, and yet because [Schwartz] knows the mathematics, he very skillfully and subtly embeds mathematical ideas into the drawings.”

—MAA Reviews, February 2011

This guide provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica® and Maple™ to MATLAB® and R. The text also includes exercises and challenges to stimulate creativity and improve problem solving abilities. The first section of the book covers issues pertaining to studying mathematics. The second section focuses on the use of mathematical tools for mathematical typesetting, generating data, finding patterns, and much more.

Features • Explains how to write mathematics and how to give a mathematical presentation • Offers a thorough introduction to the LaTeX typesetting system • Explores the functions of computer algebra systems, including Mathematica, Maple, and Maxima • Presents the computational and graphics capabilities of MATLAB • Describes how to design web pages using HTML • Covers free resources, including Octave, R, and Linux • Discusses how to use interactive geometry software, such as Geometer’s Sketchpad and GeoGebra

—Keith Devlin, NPR and Stanford University

“This delightful book … is a lot of fun. The book is well produced and nice to look at.” —Fernando Q. Gouvea, MAA Reviews, March 2010

“This compact, innovative book counts to 100 using prime numbers represented as ‘monsters,’ each with identifying characteristics …” —Publishers Weekly, March 2010

Winner of Best of Category for Juvenile Books at Bookbuilders 53rd Annual New England Book Show “Judges praised the book’s freshness, beautiful illustrations, and unique way of looking at numbers, and called it ‘a book for kids and parents.’” —Bookbuilders of Boston, May 2010

Read more reviews at CRC Press Online With crisp, creative artwork and bright, engaging colors, this special counting book visually explores the concepts of factoring and the role of prime and composite numbers. For each prime number, the author associates a pattern of dots and a monster. The playful and colorful monsters are designed to give readers an intuitive understanding of the building blocks of numbers and the basics of multiplication. Catalog no. K00725, 2010, 244 pp., Soft Cover ISBN: 978-1-56881-578-7, $24.95 / £15.99

Catalog no. K12061, January 2011, 280 pp. Soft Cover, ISBN: 978-1-4398-4606-3 $39.95 / £25.99

For more information and complete contents, visit


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Recreational Mathematics and Popular Science

Coming soon!

Origami Design Secrets Second Edition


Robert J. Lang

Origami Inspirations, Alamo, California, USA

Praise for the First Edition “… highly recommended for mathematicians and students alike who want to view, explore, wrestle with open problems in, or even try their own hand at the complexity of origami model design.” —Thomas C. Hull, The Mathematical Intelligencer, March 2005

“This magisterial work, splendidly produced, covers all aspects of the art and science.” —SIAM Book Review, November 2004

This second edition presents several new chapters on polygon packing and box pleating as well as improved illustrations throughout.

Meenakshi Mukerji “Mukerji presents yet another colorfully illustrated book, showing in clear diagrams how to make complex three-dimensional figures by folding paper. …” —SciTech Book News, February 2011

“A whole book full of amazingly attractive new modular pieces. This book is highly recommended to all modular folders and those wanting to dabble in this pastime. …” —David Petty, British Origami Society, May 2010

Catalog no. K00675, January 2011, 136 pp. Soft Cover, ISBN: 978-1-56881-584-8 $24.95 / £15.99

Catalog no. K13068, June 2011, Soft Cover ISBN: 978-1-56881-436-0, $59.95 / £38.99

Song of Two Worlds Alan Lightman Massachusetts Institute of Technology, Cambridge, USA

“… a collection of poetry from the physicist, as he blends his two disciplines well for a truly fascinating insight into the world around us. … a top pick.” —The Midwest Book Review, December 2009

In this book, we meet a man who has lost his faith in all things following a mysterious personal tragedy. As his personal story is slowly revealed, we confront the great questions of the cosmos and the human heart. Catalog no. K00499, 2010 ISBN: 978-1-56881-463-6, $24.95 / £15.99


Recountings Conversations with MIT Mathematicians Edited by

Joel Segel “… Highly recommended.” —CHOICE Magazine, July 2009

“… a fascinating mosaic of the rise of a mathematical department to a prominent position among the world’s most distinguished mathematical institutions. …” —Karl-Heinz Schlote, Mathematical Reviews, June 2010

“… It’s a terrifically interesting book, and just plain fun. I’ll read it again and again.” —Michael Berg, MAA Reviews, March 2009

Catalog no. K00691, 2010, 330 pp., Soft Cover ISBN: 978-1-56881-713-2, $24.95 / £15.99

The Latest Books in Mathematics from Chapman & Hall/CRC Press

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Recreational Mathematics and Popular Science


Roads to Infinity


The Mathematics of Truth and Proof

Hinges Meditations on the Portals of the Imagination

John Stillwell

Grace Dane Mazur

“… If you’ve ever been tantalized by the puzzles of infinity, set theory, and logic, and want to understand what’s really going on, this is the book for you. It’s an exceptionally fine piece of mathematical exposition.”

University of San Francisco, California, USA

“… a masterpiece of literary and artistic insight. … It makes you want to revisit the world’s great masters of verbal art … The author of this remarkable book has an uncanny instinct for seeing things as they really are at that liminal moment when the reader, in reading, crosses over from the everyday to the eternal.” —Gregory Nagy, Harvard University, Cambridge, Massachusetts, USA

Catalog no. K00650, January 2011, 150 pp. Soft Cover, ISBN: 978-1-56881-715-6 $29.95 / £18.99

—Steven Strogatz, Cornell University, and author of The Calculus of Friendship

“… highly recommended reading for students, scholars, and non-specialist general readers with an interest in the history and contemporary issues of mathematics today.” —Able Greenspan, The Midwest Book Review

Catalog no. K00489, January 2011, 250 pp. ISBN: 978-1-56881-466-7, $39.95 / £25.99


Bright Boys

Origami 5

The Making of Information Technology

Edited by

Patsy Wang-Iverson, Robert J. Lang, and Mark Yim

Tom Green “A+: This is how a computer history book should be written. It’s an amazing history of MIT in the 1940s and 1950s around the invention of the computer. …” —Technology Review, May 2010

“Astonishingly rich and broad recapturing of the subject period. Marvelous and exciting writing!” —Wes Clark, designer of the TX-0 and TX-2 computers

“… a riveting read of technological history, highly recommended.” —Midwest Book Review, July 2010

Catalog no. K00361, 2010 ISBN: 978-1-56881-476-6, $39.00 / £25.99

While many individuals have discovered discrete connections among origami, mathematics, science, technology, and education during the twentieth century, the field really took off when previously isolated individuals began to make stronger connections with each other, exploring the links between origami and “the outside world.” This volume brings together an unprecedented number of researchers who discuss topics ranging from mathematics to technology to educational uses of origami to fine art to computer programs for the design of origami. Catalog no. K00673, May 2011, 450 pp. Soft Cover, ISBN: 978-1-56881-714-9 $69.95 / £43.99

For more information and complete contents, visit


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Recreational Mathematics and Popular Science

Coming soon!


The Star and the Whole

A Cultural History of Physics

Fabrizio Palombi

Károly Simonyi

University of Calabria, Italy

This book presents Gian-Carlo Rota’s philosophical reflection examined in the light of Husserlian Fundierung (foundation), technological conquests, and the debate that has characterized the connection between science and mathematics in the second half of the twentieth century. Authored by one of Rota’s students, the text provides a complete bibliography of Rota’s philosophical writings. Readers interested in contemporary philosophy, epistemology, psychology, mathematics, and science will enjoy this essential introduction to the reflections of a great intellectual. Catalog no. K00789, June 2011, 200 pp. Soft Cover, ISBN: 978-1-56881-583-1 $29.95 / £18.99

Translated and updated, this classic and comprehensive history of physics combines a wide-ranging, in-depth account of the science of physics with an insightful interpretation of the cultural context in which these experimental discoveries and conceptual interpretations developed. A wealth of original sources and illustrations, both technical and historical, allow readers to get involved in an intellectual dialogue with the great scientific minds that created our understanding of the physical world. Catalog no. K00315, May 2011, 600 pp. ISBN: 978-1-56881-329-5, $59.00 / £37.99


Train Your Brain

Mathematics in Games, Sports, and Gambling

A Year’s Worth of Puzzles

The Games People Play

George Gratzer

Ronald J. Gould


University of Manitoba, Winnipeg, Canada

Emory University, Atlanta, Georgia, USA

This book provides entertaining and challenging mental exercises for every week of the year. Whether you are eager to sharpen your brain or would like to retain your mental agility, you will find your brain getting sharper and more agile as you solve the puzzles in this book. Read a few puzzles every week, think about them, solve them, and you will see the results. And on the way to a sharper mind, you will enjoy every step.

“…a wonderful reference for studying probability or statistics … Though this book might serve as the seed for the development of a new mathematics course at some institutions, this reviewer sees its greater value as a reference for mathematicians who are unfamiliar with the probabilities associated with gambling or applying statistics in sports.”

Catalog no. K00594, April 2011, 253 pp. Soft Cover, ISBN: 978-1-56881-710-1 $29.95 / £18.99

Catalog no. K10099, 2010, 374 pp. ISBN: 978-1-4398-0163-5, $61.95 / £39.99


A 2010 CHOICE Outstanding Academic Title

—J.T. Noonan, CHOICE, Vol. 47, No. 9, May 2010

The Latest Books in Mathematics from Chapman & Hall/CRC Press

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Recreational Mathamatics and Popular Science New!

Mathematics Education for a New Era Video Games as a Medium for Learning Keith Devlin Stanford University, California, USA

“Keith Devlin’s highly readable book sets the foundation for a new approach to learning mathematics where everyone can learn math and finally lose their math fears and phobias. The book is based on empirically well supported and lucidly explicated theories of learning, teaching, and gaming. It will become a classic.” —James Paul Gee, Mary Lou Fulton Presidential Professor of Literacy Studies, Arizona State University, and author of What Video Games Have to Teach Us About Learning and Literacy

Catalog no. K13065, March 2011, c. 218 pp. Soft Cover, ISBN: 978-1-56881-431-5 $29.95 / £25.99


Advanced Linear Algebra Bruce Cooperstein University of California, Santa Cruz, USA

“… The book is well written, and the examples are appropriate. … Summing Up: Recommended.” —CHOICE, January 2011

Starting with familiar concepts and slowly building to deeper results, this text focuses on vector spaces and linear transformations. It covers the structure theory of an operator, various topics on inner product spaces, the trace and determinant functions of a linear operator, bilinear forms, and tensor products. The text includes many examples, exercises, and problems, with selected solutions in the appendices. Catalog no. K11457, 2010, 364 pp. ISBN: 978-1-4398-2966-0, $79.95 / £49.99


Crafting by Concepts Fiber Arts and Mathematics Edited by

Sarah-Marie Belcastro Carolyn Yackel


FiniteDimensional Linear Algebra Mark S. Gockenbach

Mercer University, Macon, Georgia, USA

Michigan Technological University, Houghton, USA

This book presents projects that highlight the relationship between types of needlework and mathematics. Chapters start with accessible overviews presenting the interplay between mathematical concepts and craft expressions. Following sections explain the mathematics in more detail and provide suggestions for classroom activities. Each chapter ends with specific crafting instructions. Types of needlework included are knitting, crochet, needlepoint, cross-stitch, quilting, temari balls, beading, tatting, and string art.

This text provides a solid foundation for the study of advanced mathematics and covers many interesting applications of linear algebra. The book demonstrates linear algebras’ vital role in such diverse areas as combinatorics, differential equations, optimization, and approximation. The book discusses important concepts and methods from numerical linear algebra and contains a range of exercises in each section, including some that can be solved using a computer package such as MATLAB®.

Catalog no. K13062, February 2011, 264 pp. ISBN: 978-1-56881-435-3, $39.95 / £25.99

Catalog no. K10803, 2010, 672 pp. ISBN: 978-1-4398-1563-2, $99.95 / £48.99

For more information and complete contents, visit


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Algebra Theory and Applications of HigherDimensional Hadamard Matrices Second Edition Yi Xian Yang, Xin Xin Niu, and Cheng Qing Xu

Geometry and Topology


Differential Geometry of Curves and Surfaces Thomas F. Banchoff and Stephen T. Lovett

Beijing University of Posts and Telecommunication, China

Drawing on the authors’ use of the Hadamardrelated theory in several successful engineering projects, this book explores the applications and dimensions of Hadamard matrices. It covers classical two-dimensional Walsh and Hadamard matrices as well as new Hadamard designs based on dyadic addition sets. The authors also describe applications of the n-dimensional Hadamard matrices of order 2. This edition contains a new section on the applications of higher-dimensional Hadamard matrices to the areas of telecommunications and information security.

Assuming only multivariable calculus and linear algebra, this book culminates with the celebrated Gauss-Bonnet theorem and applications to spherical and hyperbolic geometry. Online interactive computer graphics applets coordinated with each section form an integral part of the exposition. The applets allow users to investigate and manipulate curves and surfaces to develop intuition and help analyze geometric phenomena. Each section includes exercises that range from straightforward to challenging. Catalog no. K00382, 2010, 352 pp. ISBN: 978-1-56881-456-8, $49.00 / £31.99

Catalog no. K10942, 2010, 437 pp. ISBN: 978-1-4398-1807-7, $99.95 / £63.99

Geometry and Topology New!

Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture Qi S. Zhang University of California, Riverside, USA

“It is clear as vodka that, as Zhang advertises in the Preface, ‘the first half of the book is aimed at graduate students and the second half is intended for researchers.’ With some good timing, the same reader can start as one and continue as the other. … a very important contribution to the genre.” —MAA Reviews, September 2010

Catalog no. K11558, January 2011, 432 pp. ISBN: 978-1-4398-3459-6, $79.95 / £49.99



Differential Geometry of Manifolds Stephen T. Lovett “… the right book at the right time. … the teaching of the subject to rookies should perhaps be restructured, at least in the sense of getting to the more avant-garde stuff more quickly, and it looks like a major aim of Lovett’s book is exactly that. … I think this is going to be a very successful textbook … as well as a very popular self-study source. It is a very nice book indeed.” —Michael Berg, Loyola Marymount University, Los Angeles, California, USA

Catalog no. K00383, 2010, 440 pp. ISBN: 978-1-56881-457-5, $79.95 / £49.99

The Latest Books in Mathematics from Chapman & Hall/CRC Press

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Geometry and Topology



Coming soon!

Elements of Differential Topology

College Geometry

Anant R. Shastri Indian Institute of Technology, Bombay

“Professor Shastri’s book gives an excellent point of entry to this fascinating area of mathematics … A major strength of Professor Shastri’s book is that detailed arguments are given in places where other books leave too much for the reader to supply on his/her own. This, together with the large quantity of accessible exercises, makes this book particularly reader friendly as a stable text for an introductory course in differential topology.” —From the Foreword by F. Thomas Farrell, Binghamton, New York, USA

Catalog no. K11533, February 2011, 319 pp. ISBN: 978-1-4398-3160-1, $89.95 / £57.99

A Unified Development David C. Kay University of North Carolina, Ashville, USA (retired)

This text presents a unified treatment of the three classical geometries: Euclidean, hyperbolic, and spherical (elliptic). This unique approach of combining all three geometries simultaneously using twelve concise axioms has never appeared in book form before at this level. The author introduces each axiom, including its reasons for use and implications, and then explains it in detail. He also includes Geometer’s Sketchpad to help readers build and investigate math models, objects, figures, and graphs. Catalog no. K11008, June 2011, c. 656 pp. ISBN: 978-1-4398-1911-1, $89.95 / £57.99

Differential Equations


Wavelet Subdivision Methods GEMS for Rendering Curves and Surfaces Charles Chui Stanford University, California, and University of Missouri, St. Louis, USA

Johan de Villiers Stellenbosch University, South Africa

“This book is the first writing that introduces and incorporates the wavelet component of the bottom-up subdivision scheme. … The book contains a large collection of carefully prepared exercises and can be used both for classroom teaching and self study. The authors have been in the forefront for advances in wavelets and wavelet subdivision methods and I congratulate them for writing such a comprehensive text.”


Ordinary Differential Equations Applications, Models, and Computing Charles E. Roberts, Jr. Indiana State University, Terre Haute, USA

“Roberts gives a clear, detailed introduction to ordinary differential equations for students who have completed the full calculus sequence. … the book’s exercises and examples … are independent of any particular software—a very nice feature. Roberts provides a good balance between theoretical and applied material. … The work is very readable and offers instructors much material to work with in their courses. Summing Up: Recommended.”

—From the Foreword by Tom Lyche, University of Oslo, Norway

Catalog no. K10613, January 2011, 479 pp. ISBN: 978-1-4398-1215-0, $69.95 / £44.99

—CHOICE, December 2010

Catalog no. K11006, 2010, 600 pp. ISBN: 978-1-4398-1908-1, $99.95 / £48.99 Textbook

For more information and complete contents, visit


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Differential Equations Solution Techniques for Elementary Partial Differential Equations


Applications of Lie Groups to Difference Equations

Second Edition

Vladimir Dorodnitsyn

Christian Constanda

Keldysh Institute of Applied Mathematics, Moscow, Russia

University of Tulsa, Oklahoma, USA

“This concise, well-written book, which includes a profusion of worked examples and exercises, serves both as an excellent text in undergraduate and graduate learning and as a useful presentation of solution techniques for researchers and engineers interested in applying partial differential equations to real-life problems.” —Barbara Zubik-Kowal, Boise State University, Idaho, USA

“… this is quite simply the best book of its kind that I have seen thus far. … It is definitely a textbook that should be adopted.”

This guide presents methods and results in a new area of application of Lie groups to difference equations, difference meshes (lattices), and difference functional. It is perhaps the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A substantial part of the text is concerned with conservation laws and first integrals for difference models. The book also includes dozens of examples of invariant schemes and meshes for physics and mechanics. Catalog no. C3090, January 2011, 344 pp. ISBN: 978-1-4200-8309-5, $89.95 / £57.99

—From the Foreword by Peter Schiavone, University of Alberta, Edmonton, Canada

“… an interesting read. … Some of the workedout examples cover not only the conventional topics of heat and wave problems but also applications to a wide variety of fields, from stock markets to Brownian motion. … The book is well written, concise, has adequate examples and can be used as a textbook for beginners to learn the techniques of PDE solvers.” —MAA Reviews, January 2011

This popular text presents some of the most important and widely used methods for solving PDEs. Along with a new chapter on complex variable methods, this edition includes new sections on Cauchy–Euler equations, Bessel functions, Legendre polynomials, spherical harmonics, applications of Fourier transformations, and general hyperbolic equations. It also contains many new worked examples and exercises. Catalog no. K10569, 2010, 343 pp., Soft Cover ISBN: 978-1-4398-1139-9, $69.95 / £24.99


Multiparameter Eigenvalue Problems Sturm-Liouville Theory F.V. Atkinson Angelo B. Mingarelli Carleton University, Ottawa, Ontario, Canada

One of the masters in the differential equations community, the late F.V. Atkinson contributed seminal research to multiparameter spectral theory and Sturm-Liouville theory for more than 40 years. His ideas and techniques have long inspired researchers and continue to stimulate discussion. With the help of co-author Angelo B. Mingarelli, this book reflects much of Dr. Atkinson’s final work. Examples are illustrated using Maple™. Catalog no. K10834, January 2011, 301 pp. ISBN: 978-1-4398-1622-6, $99.95 / £63.99


The Latest Books in Mathematics from Chapman & Hall/CRC Press

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Differential Equations New!


Discovering Evolution Equations with Applications

Fourier Series in Several Variables with Applications to Partial Differential Equations

Volume 1Deterministic Equations Mark A. McKibben Goucher College, Baltimore, Maryland, USA

This book provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in an exploration of active research. Developing all necessary prerequisite material, it gives nonspecialists the foundation to understand what evolution equations are and how to work with them in various areas of practice. The book covers 35 different models spanning pharmacokinetics and neural networks to mathematical physics and beam dynamics to infectious disease epidemiology and environmental issues. Catalog no. C9207, January 2011, 466 pp. ISBN: 978-1-4200-9207-3, $99.95 / £63.99

Victor Shapiro University of California, Riverside, USA

Discussing many results and studies from the literature, this work illustrates the value of Fourier series methods in solving difficult nonlinear PDEs. Using these methods, the author presents results for stationary Navier-Stokes equations, nonlinear reaction-diffusion systems, and quasilinear elliptic PDEs and resonance theory. He also establishes the connection between multiple Fourier series and number theory. The importance of surface spherical harmonic functions is emphasized throughout. Catalog no. K12514, March 2011, c. 352 pp. ISBN: 978-1-4398-5427-3, $99.95 / £63.99



Stable Solutions of Elliptic Partial Differential Equations Louis Dupaigne

Green’s Functions and Linear Differential Equations Theory, Applications, and Computation Prem K. Kythe University of New Orleans, Louisiana, USA

This book offers a self-contained presentation of the notion of stability in PDEs. The central questions of regularity and classification of stable solutions are treated at length. Along with summarizing the most recent developments of the theory, the book covers the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field.

With numerous examples and exercises, this selfcontained book unravels the mystery of the Dirac delta function and explains its relation to Green’s functions. It presents Green’s functions for linear ODEs and PDEs and uses the methods of Bernouilli’s separation, integral transforms, and conformal mapping to solve boundary value problems and various applications, including spherical and surface harmonics. The text also describes an interpolation method to numerically construct Green’s functions for convex and starlike regions.

Catalog no. C6654, March 2011, c. 335 pp. ISBN: 978-1-4200-6654-8, $89.95 / £57.99

Catalog no. K11855, January 2011, 382 pp. ISBN: 978-1-4398-4008-5, $119.95 / £76.99

University Picardie Jules, Amiens, France

For more information and complete contents, visit


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Real, Complex, and Functional Analysis New! New!

Topological Vector Spaces Second Edition Lawrence Narici and Edward Beckenstein

Introduction to Functional Equations Prasanna K. Sahoo University of Louisville, Kentucky, USA

Palaniappan Kannappan

St. John’s University, New York, New York, USA

University of Waterloo, Ontario, Canada

With many new concrete examples and historical notes, this second edition provides one of the most thorough and up-to-date treatments of the Hahn–Banach theorem. This edition explores the theorem’s connection with the axiom of choice, discusses the uniqueness of Hahn–Banach extensions, and includes an entirely new chapter on vector-valued Hahn–Banach theorems. It also considers different approaches to the Banach–Stone theorem as well as variations of the theorem.

This book provides an elementary yet comprehensive introduction to the field of functional equations and stabilities. Concentrating on functional equations that are real or complex, the authors present many fundamental techniques for solving these equations. Topics covered in the text include Cauchy equations, additive functions, functional equations for distance measures, and Pexider’s functional equations. Each chapter includes exercises and points to various developments in abstract domains, such as semigroups, groups, or Banach spaces.

Catalog no. C866X, January 2011, 628 pp. ISBN: 978-1-58488-866-6, $89.95 / £57.99

Catalog no. K11911, February 2011, 465 pp. ISBN: 978-1-4398-4111-2, $99.95 / £63.99


Applied Functional Analysis Second Edition J. Tinsley Oden and Leszek Demkowicz


Understanding Real Analysis Paul Zorn

The University of Texas at Austin, USA

St. Olaf College, Northfield, Minnesota, USA

Through numerous illustrative examples and comments, this bestselling text demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. This second edition includes revisions of many original examples, along with new examples that often reflect the authors’ own vast research experiences and perspectives. New discussions cover Bayesian statistical inference, multilinear algebra and determinants, the singular value decomposition theorem, Hadamard finite part integrals, and more.

This text develops ideas already familiar from elementary calculus in a rigorous manner. It helps readers deeply understand basic but crucial mathematical ideas and also helps them see how definitions, proofs, examples, and other forms of mathematical “apparatus” work together to create a unified theory. A key feature of the book is the substantial treatment of some foundational material, including general theory of functions, sets, cardinality, and basic proof techniques. Catalog no. K00535, 2010, 362 pp. ISBN: 978-1-56881-415-5, $49.00 / £31.99

Catalog no. C1956, 2010, 596 pp. ISBN: 978-1-4200-9195-3, $119.95 / £76.99


The Latest Books in Mathematics from Chapman & Hall/CRC Press

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Computation and Numerical Analysis New!


Scientific Computing with Multicore and Accelerators

Discrete Variational Derivative Method

Edited by

A Structure-Preserving Numerical Method for Partial Differential Equations

Jakub Kurzak University of Tennessee, Knoxville, USA

David A. Bader Georgia Institute of Technology, Atlanta, USA

Jack Dongarra University of Tennessee, Knoxville, USA

By offering insight into the process of constructing and effectively using the technology, this volume provides a thorough and practical introduction to the area of hybrid computing. It discusses introductory concepts and simple examples of parallel computing, logical and performance debugging for parallel computing, and advanced topics and issues related to the use and building of many applications. Catalog no. K11208, January 2011, 514 pp. ISBN: 978-1-4398-2536-5, $89.95 / £57.99

Daisuke Furihata Osaka University, Toyonaka, Japan

Takayasu Matsuo University of Tokyo, Bunkyo, Japan

The methods presented in this book concentrate on a new class of “structure-preserving numerical equations,” which improve the qualitative behavior of PDE solutions and allow for stable computing. The text introduces the key factors and basic ideas of the method as well as problems that are solvable by the method. It rigorously describes the mathematics and illustrates relevant applications with worked examples. A comprehensive of listing of essential references on structure-preserving algorithms is included for advanced readers. Catalog no. C9445, January 2011, 376 pp. ISBN: 978-1-4200-9445-9, $99.95 / £63.99



Introduction to the Simulation of Dynamics Using Simulink® Michael A. Gray American University, Washington, D.C., USA


Handbook of Sinc Numerical Methods

Requiring no prior programming experience, this book shows how to use the powerful tool of Simulink® to investigate and form intuitions about the behavior of dynamical systems. Step by step, the author presents the basics of building a simulation in Simulink. He also offers overviews of some advanced topics, including the simulation of chaotic dynamics and PDEs. Written in an informal, accessible style, the text includes many diagrams, graphics, and exercises. It also draws on numerous examples from the science, engineering, and technology fields.

Reflecting the author’s advances with Sinc since 1995, this handbook provides a package of methods based on Sinc approximation. It contains roughly 450 MATLAB® programs for approximating almost every type of operation stemming from calculus. It also presents new and powerful methods for solving ODEs, PDEs, and integral equations. Sinc-Pack programs are available on a companion CD-ROM.

Catalog no. K11000, January 2011, 332 pp. ISBN: 978-1-4398-1897-8, $89.95 / £49.99

Catalog no. K11144, January 2011, 482 pp. ISBN: 978-1-4398-2158-9, $99.95 / £63.99

Frank Stenger University of Utah, Salt Lake City, USA

For more information and complete contents, visit


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Computation and Numerical Analysis New!


Performance Tuning of Scientific Applications Edited by

Iterative Splitting Methods for Differential Equations

David H. Bailey

Juergen Geiser

Lawrence Berkeley National Laboratory, California, USA

Humboldt-University of Berlin, Germany

Robert F. Lucas

This book explains how to solve differential equations using novel splitting methods based on iterative schemes. It covers differential equations of parabolic and hyperbolic equation systems occurring in multiphysics and multiscale problems. The author analyzes the convergence of iterative splitting methods with respect to the bounded and unbounded operators. Practical results are presented in the test examples and real-life problems. A CD-ROM includes MATLAB® and other software code.

University of Southern California, Los Angeles, USA

Samuel Williams Lawrence Berkeley National Laboratory, California, USA

Describing useful current research in modern performance science and engineering, this book helps real-world users of parallel computer systems to better understand both the performance vagaries arising in scientific applications and the practical means for improving performance. Some of the most notable experts in the field focus on the areas of performance monitoring, performance analysis, performance modeling, automatic performance tuning, and application tuning.

Catalog no. K13211, May 2011, c. 320 pp. ISBN: 978-1-4398-6982-6, $89.95 / £57.99

Catalog no. K10806, January 2011, 399 pp. ISBN: 978-1-4398-1569-4, $89.95 / £57.99


Coming soon!

Computational Fluid Dynamics

Green Computing

Edited by

Edited by

Frédéric Magoulès

Wu-chun Feng

Large-Scale Energy Efficiency

École Centrale Paris, Châtenay Malabry, France

Virginia Polytechnic Institute and State University, Blacksburg, USA

Exploring new variations of classical methods as well as recent approaches appearing in the field, this book demonstrates the extensive use of numerical techniques and mathematical models in fluid mechanics. It covers finite volume, finite difference, finite element, spectral, smoothed particle hydrodynamics, mixed-element-volume, and free surface flow methods, along with many real-world applications. The contributors also describe the solution of complex flow problems via direct numerical simulation, Reynoldsaveraged Navier–Stokes equations, and large eddy simulation.

This reference is the first research-level book devoted to green computing and large-scale energy efficiency. With contributions from leading experts in the field, the book presents current research and developments in hardware, systems software, run-time systems, programming languages, data center management, and applications. It also covers the emerging green movement in computing, including the Green Grid and the Green 500 list, as well as important programs in grassroots organizations and government agencies.

Catalog no. K12660, April 2011, c. 396 pp. ISBN: 978-1-4398-5661-1, $119.95 / £76.99


Catalog no. K11047, September 2011, c. 300 pp. ISBN: 978-1-4398-1987-6, $89.95 / £54.99

The Latest Books in Mathematics from Chapman & Hall/CRC Press

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Computation and Numerical Analysis New!

Introduction to High Performance Computing for Scientists and Engineers Georg Hager and Gerhard Wellein University of Erlangen Nuremberg, Germany

Written by HPC experts, this book provides a solid introduction to current mainstream computer architecture, dominant parallel programming models, and useful optimization strategies for scientific HPC. It facilitates an intuitive understanding of performance limitations without relying on heavy computer science knowledge. The authors include numerous case studies drawn from their experiences in HPC user support, performance optimization, and benchmarking. Downloadable code and an annotated bibliography are available on the book’s website.

Games, Puzzles, & Computation Robert A. Hearn Dartmouth College, Hanover, New Hampshire, USA

Erik D. Demaine Massachusetts Institute of Technology, Cambridge, USA

“The authors show that there are underlying mathematical reasons that games and puzzles are challenging (which perhaps explains why they are so much fun). Complementarily, they also show that games and puzzles can serve as powerful models of computation — quite different from the usual models of automata and circuits — offering a new way of thinking about computation.” —L’Enseignement Mathematique, December 2009

Catalog no. K00412, 2009, 250 pp. ISBN: 978-1-56881-322-6, $45.00 / £28.99

Catalog no. K10600, January 2011, 356 pp. Soft Cover, ISBN: 978-1-4398-1192-4 $69.95 / £42.99

Discrete Mathematics and Cryptography


High Performance Computing Programming and Applications


John Levesque

How to Count

Cray, Inc., Knoxville, Tennessee, USA

An Introduction to Combinatorics, Second Edition

Gene Wagenbreth University of Southern California, Los Angeles, USA

Covering all three levels of parallelism, this book presents techniques that address new performance issues in the programming of HPC applications. Drawing on their experience with chips from AMD and systems, interconnects, and software from Cray Inc., the authors outline a strategy for porting and optimizing an existing application to a large MPP system. They also introduce the use of GPGPUs for carrying out HPC computations.

R.B.J.T. Allenby and Alan Slomson

Catalog no. C7058, January 2011, 244 pp. ISBN: 978-1-4200-7705-6, $89.95 / £57.99

Catalog no. C8260, January 2011, 444 pp. ISBN: 978-1-4200-8260-9, $79.95 / £34.99

University of Leeds, UK

“The reasons I adopted this book are simple: it’s the best one-volume book on combinatorics for undergraduates. … I was very much impressed with the first edition when I encountered it in 1994. I like the second edition even more. …” —Paul Zeitz, University of San Francisco, California, USA

For more information and complete contents, visit


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Discrete Mathematics and Cryptography Textbook



Handbook of Financial Cryptography and Security

Introduction to Combinatorics W.D. Wallis Southern Illinois University, Carbondale, USA

John George Gordon College, Barnesville, Georgia, USA

With many modern examples, this introduction presents approaches for solving counting and structural questions. It provides basic information on sets, proof techniques, enumeration, and graph theory. It covers important families of functions as well as coding theory and design theory. The authors also explore the interaction between linear algebra and combinatorics. Maple™, Mathematica®, and other tools are discussed where appropriate and exercises and problems are included in each chapter. Catalog no. K10310, January 2011, 397 pp. ISBN: 978-1-4398-0622-7, $79.95 / £49.99

Edited by

Burton Rosenberg University of Miami, Coral Gables, Florida, USA

“… the chapters are well-written and provide a good introduction, addressing current thinking on a variety of complex and subtle technical areas. Most of the chapters have thorough reference lists, and this is certainly a book that any cryptography library should include. … [it] contains many interesting ideas showing how, in the twenty-first century, cryptography is more complicated and also more important than just the messages that Alice sends to Bob.” —MAA Reviews, January 2011

Catalog no. C5981, January 2011, 631 pp. ISBN: 978-1-4200-5981-6, $99.95 / £63.99



Graphs & Digraphs New!

Bijective Combinatorics Nicholas Loehr Virginia Polytechnic Institute and State University, Blacksburg, USA

Fifth Edition Gary Chartrand Western Michigan University, Kalamazoo, USA

Linda Lesniak Drew University, Madison, New Jersey, USA

Ping Zhang

Suitable for readers without prior background in algebra or combinatorics, this text presents a general introduction to enumerative and algebraic combinatorics that emphasizes bijective methods. It systematically develops the mathematical tools needed to analyze many combinatorial structures and solve enumeration problems. The book also delves into some algebraic aspects of combinatorics. It contains numerous worked examples and applications as well as nearly 1,000 exercises—many with solutions, hints, or partial answers.

Western Michigan University, Kalamazoo, USA

Catalog no. K12206, February 2011, 612 pp. ISBN: 978-1-4398-4884-5, $99.95 / £63.99

Catalog no. K11263, January 2011, 598 pp. ISBN: 978-1-4398-2627-0, $89.95 / £49.99


Nearly 50 percent longer than its bestselling predecessor, this fifth edition reorganizes the material and presents many new topics, including graph minors, perfect graphs, chromatic polynomials, nowhere-zero flows, flows in networks, degree sequences, toughness, list colorings, and list edge colorings. It also contains new examples, figures, and applications; expanded historical discussions of well-known mathematicians and problems; and more than 300 new exercises.

The Latest Books in Mathematics from Chapman & Hall/CRC Press

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Discrete Mathematics and Cryptography Coming soon!


RC4 Stream Cipher and Its Variants


Goutam Paul Jadavpur University, Kolkata, India

Subhamoy Maitra Indian Statistical Institute, Kolkata

This book is the first comprehensive volume on RC4, the most popular and widely deployed state-of-the-art software stream cipher algorithm. It covers key scheduling, key recovery, WEP attacks, and keystream generation. The book also explores both LFSR and non-LFSR-based hardware stream ciphers as well as software stream ciphers. The techniques and analysis presented can be applied to many RC4-like stream ciphers that are based on arrays and modular addition. Catalog no. K11529, September 2011, c. 300 pp. ISBN: 978-1-4398-3135-9, $89.95 / £57.99

Introduction to Cryptography with Mathematical Foundations and Computer Implementations Alexander Stanoyevitch California State University–Dominguez Hills, Carson, USA

“… the little thoughtful touches that make the book truly shine … It is apparent that Prof. Stanoyevitch put a lot of pedagogical and intellectual effort into making a book aimed at students that makes life easier for the instructor. In addition, the book’s companion [web]site features short MATLAB m-files and applets for quick demos. …a very well done, thoughtful introduction to cryptography.” —Daniel Bilar, University of New Orleans, Louisiana, USA

Catalog no. K10916, January 2011, 669 pp. ISBN: 978-1-4398-1763-6, $89.95 / £44.99 Textbook



Introduction to Cryptography with Open-Source Software


Alasdair McAndrew

Alexander Stanoyevitch

Victoria University, Melbourne, Victoria, Australia

Discrete Structures with Contemporary Applications California State University–Dominguez Hills, Carson, USA

This text reviews basic theory and discusses cryptographic protocols and systems. It offers a wealth of practical examples and numerous exercises using the open source software Sage. An accompanying CD-ROM includes the necessary codes. The author covers private and public key cryptosystems, knapsack cryptosystems, digital signatures, random number generators, elliptic curves, block ciphers, hash functions, the DES and AES, finite fields, and message authentication codes.

Reflecting many of the recent advances and trends in this area, this classroom-tested text covers the core topics in discrete structures as well as an assortment of novel applications, including simulations, genetic algorithms, network flows, probabilistic primality tests, public key cryptography, and coding theory. It presents algorithms in pseudo code, includes numerous examples and exercises, and offers sample programs via the author’s website.

Catalog no. K11232, May 2011, c. 459 pp. ISBN: 978-1-4398-2570-9, $79.95 / £49.99

Catalog no. K10918, January 2011, 1002 pp. ISBN: 978-1-4398-1768-1, $99.95 / £44.99

For more information and complete contents, visit


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Discrete Mathematics and Cryptography

Applied Mathematics New!



Access Control, Security, and Trust A Logical Approach

Pattern Theory The Stochastic Analysis of Real-World Signals David Mumford Professor Emeritus, Brown University, Providence, Rhode Island, USA

Shiu-Kai Chin and Susan Beth Older

Agnes Desolneux

Syracuse University, New York, USA

“This book is fascinating. It develops a statistical approach to finding the patterns in the signals generated by the world. The style is lucid. I’m reminded of Mumford’s exposition of Theta functions and Abelian varieties in his Tata lectures. The exposition is thorough. The authors provide the necessary mathematical tools allowing scientists to pursue an exciting subject. …”

Developed from the authors’ courses at Syracuse University and the U.S. Air Force Research Laboratory, this book equips readers with an access control logic they can use to specify and verify their security designs. Throughout the text, the authors use a single access control logic based on a simple propositional modal logic. The book covers confidentiality and integrity policies, access control in networks, the use of cryptography, hardware and virtual machines, and rolebased access control.

CNRS, Paris, France

—I.M. Singer, Institute Professor, MIT

Catalog no. K00462, January 2011, 375 pp. ISBN: 978-1-56881-579-4, $79.95 / £49.99

Catalog no. C8628, January 2011, 351 pp. ISBN: 978-1-58488-862-8, $89.95 / £57.99


Second Edition

Image and Video Processing in the Compressed Domain

Richard A. Mollin

Jayanta Mukhopadhyay

University of Calgary, Alberta, Canada

Indian Institute of Technology, Kharagpur

Bringing the material up to date to reflect modern applications, this second edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. It offers a more complete and involved treatment of Galois theory, a more comprehensive section on Pollard’s cubic factoring algorithm, and more detailed explanations of proofs to provide a sound understanding of challenging material. This edition also studies binary quadratic forms and compares the ideal and form class groups.

Developing concepts from first principles, this book presents the fundamentals, properties, and applications of a variety of image transforms used in image and video compression. It introduces popular image and video compression algorithms, including JPEG2000 and MPEG-2, and elucidates the definitions and properties of various transforms. The author discusses core image and video processing operations, along with other facets of compressed domain analysis. MATLAB® codes are included on a CD-ROM.

Catalog no. K12056, January 2011, 442 pp. ISBN: 978-1-4398-4598-1, $89.95 / £57.99

Catalog no. K11443, March 2011, c. 280 pp. ISBN: 978-1-4398-2935-6, $79.95 / £49.99


Algebraic Number Theory

20 The Latest Books in Mathematics from Chapman & Hall/CRC Press

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Applied Mathematics

Mathematics for Engineering and Physics



Computer Graphics Through OpenGL From Theory to Experiments Sumanta Guha Asian Institute of Technology, Thailand

This comprehensive introduction to computer graphics provides an understanding not only of the principles of 3D computer graphics, but also the use of the OpenGL API to program 3D applications. It includes 140 programs with 200 experiments based on them as well as many exercises, examples, and color illustrations. Source code and other materials are available on the author’s website. Catalog no. K12068, January 2011, 888 pp. ISBN: 978-1-4398-4620-9, $99.95 / £49.99

Transforms and Applications Handbook Third Edition Edited by

Alexander D. Poularikas University of Alabama, Huntsville, USA

This new edition of a bestseller offers a complete resource to mathematical transforms most frequently used by engineers and scientists. The book introduces signals and systems and then goes on to detail transforms chapter by chapter. Each chapter provides numerous examples and applications that clearly demonstrate the transform’s unique purpose and properties. New to this edition is coverage of fractional Fourier, multidimensional discrete unity, and Hilbert-Huang transforms. Catalog no. 66528, 2010, 911 pp. ISBN: 978-1-4200-6652-4, $169.95 / £108.00

Mathematics for Engineering and Physics New! New!

Complex Analysis with Applications to Flows and Fields Luis Manuel Braga da Costa Campos Instituto Superior Technico, Lisboa, Portugal

Configurational Forces Thermomechanics, Physics, Mathematics, and Numerics Gerard A. Maugin Université Pierre et Marie Curie, Paris, France

This book presents the theory of functions of a complex variable. It gives the necessary mathematical background and physical principles to build models for technological and scientific purposes. The book explores numerous physical and engineering applications and provides the mathematical results to sufficiently justify the solution of these problems, eliminating the need to consult external references.

This book presents the general framework for configurational forces and covers a range of applications in engineering and condensed matter physics. The author, a long-time researcher in mechanical engineering, unites the work of several pioneers in the field and provides examples of complex cases that frequently occur in contemporary continuum mechanics. The text includes an extensive list of references as well as numerous illustrations, with some in color.

Catalog no. 71181, January 2011, 1029 pp. ISBN: 978-1-4200-7118-4, $129.95 / £82.00

Catalog no. K12064, January 2011, 562 pp. ISBN: 978-1-4398-4612-4, $119.95 / £76.99

For more information and complete contents, visit


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Mathematics for Engineering and Physics Textbook



Nonsmooth Mechanics and Convex Optimization

Simulation of Dynamic Systems with MATLAB® and Simulink®

Yoshihiro Kanno University of Tokyo, Japan

Second Edition

This book presents a comprehensive methodology for dealing with nonsmooth laws in mechanics, in accordance with contemporary theory and algorithms associated with optimization. Delving into numerical algorithms to provide a new perspective on the subject, the author addresses linear, semi-definite, and second-order cone programs. He also covers complementarity problems, optimality conditions, Fenchel and Lagrangian dualities, and algorithms dealing with operations research. The text explores working with cable networks, membranes, masonry structures, contact problems, and plasticity.

Harold Klee and Randal Allen Employing MATLAB® and Simulink® software packages, this book offers integrated coverage of continuous simulation and the essential prerequisites in one resource. It also provides a complete introduction to the Real-Time Workshop. The text takes readers through the process of converting a mathematical model of a continuous or discrete system into a simulation model. This second edition addresses common nonlinearities, expands coverage of the Kalman filter, and features extensive treatment of numerical parameters.

Catalog no. 94238, March 2011, c. 445 pp. ISBN: 978-1-4200-9423-7, $129.95 / £82.00

Catalog no. K11660, February 2011, 815 pp. ISBN: 978-1-4398-3673-6, $139.95 / £89.00

Transforms and Applications Primer for Engineers with Examples and MATLAB®

University of Central Florida, Orlando, USA



Signals and Systems Laboratory with MATLAB®

Alexander D. Poularikas University of Alabama, Huntsville, USA

“This book is a thorough presentation of integral transforms, geared to practicing engineers. MATLAB codes are included throughout. … The book’s numerous examples, figures, and tables improve readability, comprehension, and usability of the material presented. Summing Up: Recommended.”

Alex Palamides and Anastasia Veloni Technological Educational Institute of Piraeus, Athens, Greece

This work provides a large number of examples to explain the use of essential integral transforms in various areas, including circuit analysis, differential equations, signals and systems, and mechanical vibrations.

This text teaches how to perform signals and systems analysis with MATLAB® while at the same time learning how to program in MATLAB. Every theoretical concept is accompanied by the corresponding code implementation. Instead of using big M-Files or author-written functions with comments, the commands are executed one-by-one at the MATLAB command prompt and the results and comments are given side-by-side in two- or three-column tables.

Catalog no. 89315, 2010, 567 pp., Soft Cover ISBN: 978-1-4200-8931-8, $69.95 / £44.99

Catalog no. K11500, January 2011, 567 pp. ISBN: 978-1-4398-3055-0, $79.95 / £49.99

—CHOICE, January 2011

22 The Latest Books in Mathematics from Chapman & Hall/CRC Press

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Mathematics for Engineering and Physics

New! New!



Eighth Edition Timothy A. Davis

What Every Engineer Should Know about MATLAB® and Simulink®

University of Florida, Gainesville, USA

Adrian B. Biran

Highlighting the new aspects of MATLAB® 7.10 and expanding on many existing features, this book shows how to solve problems in science, engineering, and mathematics.

With examples from mathematics, mechanical and electrical engineering, and control and signal processing, this book provides an introduction to MATLAB® and Simulink® and examines their advantages and limitations. It first explores the benefits of how to use MATLAB to solve problems and then process and present calculations and experimental results. The author also briefly introduces more advanced features of the software, such as object-oriented programming, and emphasizes some specialized toolboxes.

New to the Eighth Edition • A new chapter on object-oriented programming • Discussion of the MATLAB File Exchange window, which provides direct access to over 10,000 submissions by MATLAB users

Technion, Israel

• Major changes to the MATLAB Editor, such as code folding and the integration of the Code Analyzer (M-Lint) into the Editor

The book demonstrates how to:

• Explanation of more powerful Help tools, such as quick help popups for functions via the Function Browser

• Write useful script files and functions for solving specific problems

• The new bsxfun function • A synopsis of each of the MATLAB Top 500 most frequently used functions, operators, and special characters • The addition of several useful features, including sets, logical indexing, isequal, repmat, reshape, varargin, and varargout Now in its eighth edition, this popular primer continues to offer a hands-on, step-by-step introduction to using the powerful tools of MATLAB. It takes you through a series of simple examples that become progressively more complex. M-files and MEX-files for large examples are available for download at CRC Press Online. Catalog no. K11404, January 2011, 248 pp. Soft Cover, ISBN: 978-1-4398-2862-5 $21.99 / £13.99

• Visualize the results of calculations in various kinds of graphical representations

• Avoid disastrous computational errors • Convert calculations into technical reports and insert calculations and graphs into MS Word or LaTeX This guide illustrates the limitations of the computer as well as the implications associated with errors that can result from approximations or numerical errors. Using selected examples of computer-aided errors, the author explains that the set of computer numbers is discrete and bounded—a feature that can cause catastrophic errors if not properly taken into account. Companion software with functions and script files can be downloaded at CRC Press Online. Catalog no. K10511, January 2011, 451 pp. Soft Cover, ISBN: 978-1-4398-1020-0 $69.95 / £44.99

For more information and complete contents, visit


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Mathematics for Engineering and Physics Textbook



Interactive DynamicSystem Simulation

A First Course in Differential Equations, Modeling, and Simulation

Second Edition Granino A. Korn Chelan, Washington, USA

Demonstrating how to use personal computers for modeling and simulation, this practical tutorial discusses how to effectively simulate dynamical systems, such as aerospace vehicles and physiological systems. This edition introduces a new vectorizing compiler for fast vector operations and parameter-influence studies, incorporates a new treatment of the difference equation programs, and presents improved versions of several classical simulation programs to illustrate useful programming tricks. The CD-ROM includes a complete, industrial-strength simulation program package. Catalog no. K11645, January 2011, 220 pp. ISBN: 978-1-4398-3641-5, $89.95 / £57.99

Carlos A. Smith and Scott W. Campbell University of South Florida, Tampa, USA

Overcoming some of the drawbacks in standard differential equations courses, this text illustrates the development of dynamic models using basic physics and analytical solution and simulation methods. Taking a rigorous yet practical approach, the authors clearly explain how to solve differential equations and emphasize the integration of modeling and simulation. They develop models of physical systems, before obtaining the analytical solution and performing simulations. The examples and problems provided encompass real-world design experience. Catalog no. K12318, May 2011, c. 352 pp. ISBN: 978-1-4398-5087-9, $89.95 / £57.99

Textbook Textbook


Advanced Mathematical Methods in Science and Engineering

Advanced Engineering Mathematics with MATLAB®

Second Edition

Dean G. Duffy

S.I. Hayek Pennsylvania State University, University Park, USA

Third Edition Former Instructor, US Naval Academy, Annapolis, Maryland, USA

This update of a bestselling text presents methods of applied mathematics that are particularly suited to address physical problems in science and engineering. This edition incorporates a new chapter on numerical methods as well as new appendices on vector algebra, calculus, and matrix algebra. It also includes many solved examples and problems with answers.

Taking a practical approach to the subject, this updated and expanded edition continues to integrate technology into the conventional topics of engineering mathematics. Along with new examples, problems, and projects, this edition incorporates new chapters on Green’s functions, probability, and random processes. It also includes a new section that uses the matrix exponential to solve systems of differential equations as well as more numerical methods for solving differential equations. MATLAB® scripts are available for download at CRC Press Online.

Catalog no. C1977, 2010, 866 pp. ISBN: 978-1-4200-8197-8, $129.95 / £82.00

Catalog no. K10835, January 2011, 1105 pp. ISBN: 978-1-4398-1624-0, $109.95 / £70.99

“… Hayek’s book contains a great deal of useful information …” —MAA Reviews, October 2010

24 The Latest Books in Mathematics from Chapman & Hall/CRC Press

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Mathematics for Engineering and Physics New!


Handbook of Industrial Engineering Equations, Formulas, and Calculations Adedeji B. Badiru Air Force Institute of Technology, Dayton, Ohio, USA

Olufemi A. Omitaomu Oak Ridge National Laboratory, Tennessee, USA

This book offers access to computational resources needed by industrial engineers. Each section of the text focuses on a particular specialization area of industrial engineering. These include basic and engineering math, production engineering, engineering economics, ergonomics, systems and data engineering, project engineering, and simulation and statistical calculations. The authors elucidate the underlying equations that facilitate the understanding required to improve design processes.

Group Theory for the Standard Model of Particle Physics and Beyond Ken J. Barnes University of Southampton, UK

“This book provides a lucid and readable account of group theory relevant to gauge theories and is a welcome addition to the available texts in the area. … suitable for a reader new to the subject, while enough material is included to make this book useful as a reference for more experienced researchers. … every student and researcher in high energy physics should read this excellent book.” —Robert Appleby, Reviews, Vol. 11, Issue 2, 2010

Catalog no. C7874, 2010, 255 pp. ISBN: 978-1-4200-7874-9, $59.95 / £38.99

Catalog no. 76272, January 2011, 454 pp. ISBN: 978-1-4200-7627-1, $129.95 / £82.00


Modeling and Analytical Methods in Tribology Ilya I. Kudish Kettering University, Flint, Michigan, USA

Michael Judah Covitch

Quasilinear Hyperbolic Systems, Compressible Flows, and Waves Vishnu D. Sharma

Lubrizol Corporation, Wickliffe, Ohio, USA

Indian Institute of Technology, Bombay

Unlocking the secrets that govern the physics of lubricated and dry contacts, this book helps tribologists on their quest to reduce friction, minimize wear, and extend the operating life of mechanical equipment. It presents a fresh approach to tribology that links advances in applied mathematics with fundamental problems in tribology related to contact elasticity, fracture mechanics, and fluid film lubrication. The book also provides a real-world industrial perspective so that readers can attain a practical understanding of the material.

Filled with practical examples, this book presents a self-contained discussion of quasilinear hyperbolic equations and systems with applications. It emphasizes nonlinear theory and introduces some of the most active research in the field. The author elucidates all necessary mathematical concepts in the first three chapters and then highlights the application of various approaches to solve practical physical problems in areas, including gasdynamics, radiation gasdynamics, magnetogasdynamics, nonequilibrium flows, and shallow water theory.

Catalog no. C8701, January 2011, 928 pp. ISBN: 978-1-4200-8701-7, $119.95 / £63.99

Catalog no. K11669, 2010, 282 pp. ISBN: 978-1-4398-3690-3, $99.95 / £63.99

For more information and complete contents, visit


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Mathematics for Engineering and Physics Coming soon!

Optimal Estimation of Dynamic Systems Second Edition John L. Crassidis

Mathematics for Biology and Medicine Cell Mechanics From Single Scale-Based Models to Multiscale Modeling

State University of New York at Buffalo, USA

Edited by

John L. Junkins

University of New Mexico, Albuquerque, USA

Texas A&M University, College Station, USA

This book uses dynamic models to provide immediate results of estimation concepts with minimal reliance on mathematics. This second edition discusses a number of new topics, including higher order nonlinear filters, inertial navigation, and nonlinear stochastic processes. The authors cover prototype algorithms to stimulate the development and intelligent use of efficient computer programs. MATLAB® is used throughout, with the code on a supporting website. Catalog no. K11836, September 2011, c. 704 pp. ISBN: 978-1-4398-3985-0, $129.95 / £82.00

Arnaud Chauvière Luigi Preziosi Politecnico di Torino, Italy

Claude Verdier Université Joseph Fourier and CNRS, Grenoble, France

This book brings together new insight and research on mechanical, mathematical, physical, and biological approaches for simulating the behavior of cells, specifically tumor cells. It illustrates how phenomena occurring at various scales can be modeled and coupled to account for multiscale aspects. The text links subcellular effects to cellular properties, covers the modeling of cell migration and multicellular systems, and examines cell interactions with the environment. Catalog no. C4548, 2010, 482 pp. ISBN: 978-1-4200-9454-1, $119.95 / £76.99


Mathematical Methods in Physics Partial Differential Equations, Fourier Series, and Special Functions Victor Henner, Tatyana Belozerova, and Kyle Forinash “… The textbook and accompanying software are significantly more detailed than typical introductions to partial differential equations, they [the authors] say, and provide examples on setting up physical problems as mathematical ones, solving partial differential equations under different types of boundary conditions, working with special functions, and carrying out a Fourier analysis using these functions. The software provides a simple interface, and does not require students to learn a programming language.” —Book News Inc., September 2009

Catalog no. K00437, 2009, 859 pp. ISBN: 978-1-56881-335-6, $115.00 / £73.99



Multiscale Cancer Modeling Edited by

Thomas S. Deisboeck Massachusetts General Hospital and Harvard Medical School, Boston, USA

Georgios S. Stamatakos National Technical University of Athens, Greece

With contributions from some of the top in silico modeling groups in the United States and Europe, Multiscale Cancer Modeling discusses the scientific and technical expertise necessary to conduct innovative cancer modeling research across scales. It presents modeling methods and results at the forefront of cancer simulation at all levels of biocomplexity and explains how combinations of multilevel cancer models can enhance our understanding and optimize treatment. Catalog no. K10739, January 2011, 484 pp. ISBN: 978-1-4398-1440-6, $89.95 / £57.99

The Latest Books in Mathematics from Chapman & Hall/CRC Press

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Mathematics for Biology and Medicine Textbook

Ehud Lamm

Computational Hydrodynamics of Capsules and Biological Cells

Tel-Aviv University, Israel

Edited by

Ron Unger

C. Pozrikidis


Biological Computation

Bar-Ilan University, Ramat-Gan, Israel

“I read this book in one breath … . I particularly enjoyed the analogies between immune systems and software that fights computer viruses.” —Uri Alon, Weizmann Institute of Science, Rehovot, Israel, and author of An Introduction to Systems Biology: Design Principles of Biological Circuits

“This is a wonderful treatise on bio-inspired computation …” —David Harel, The William Sussman Professorial Chair, Weizmann Institute of Science

Catalog no. C7959, April 2011, c. 352 pp. ISBN: 978-1-4200-8795-6, $79.95 / £49.99

University of Massachusetts, Amherst, USA

A roadmap to the current state of the art, this volume provides a comprehensive and rigorous introduction to the fundamental concepts, mathematical formulation, alternative approaches, and predictions of this evolving field. It covers advanced numerical methods for simulating the motion of rigid particles (platelets) and the flowinduced deformation of liquid capsules and cells enclosed by viscoelastic membranes. MATLAB® code and other data are available on the book’s website. Catalog no. K11057, 2010, 327 pp. ISBN: 978-1-4398-2005-6, $129.95 / £82.00

Probability and Operations Research



An Introduction to Stochastic Processes with Applications to Biology


Second Edition

Conceptual Modeling for Discrete-Event Simulation

Linda J. S. Allen

Edited by

Texas Tech University, Lubbock, USA

Stewart Robinson, Roger Brooks, Kathy Kotiadis, and Durk-Jouke Van Der Zee

This text presents the basic theory of stochastic processes necessary in understanding and applying stochastic methods to biological problems. This edition contains a new chapter on stochastic differential equations that extends the basic theory to multivariate processes. It also includes examples and exercises from cellular and molecular biology and more exercises and MATLAB® programs at the end of each chapter. Catalog no. K10993, January 2011, 490 pp. ISBN: 978-1-4398-1882-4, $89.95 / £39.99

“… a comprehensive account of the various aspects of conceptual modeling. … a very useful supplement to the traditional literature on simulation methods. … the book is a comprehensive and useful review of the state of the art of conceptual modeling ideas, approaches, and applications. I recommend it to simulation practitioners, researchers, and teachers.” —Computing Reviews, January 2011

Catalog no. K10519, January 2011, 527 pp. ISBN: 978-1-4398-1037-8, $99.95 / £63.99

For more information and complete contents, visit


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Probability and Operations Research Textbook


Coming Soon!


Probability and Statistical Inference

Probability, Statistics, and Reliability for Engineers and Scientists

Second Edition Nitis Mukhopadhyay University of Connecticut, Storrs, USA

Praise for the First Edition “… the book contains unique features throughout. Examples are the moment problem, which is clarified through a nice example, the role of the probability generating functions, and the central limit theorem for the sample variance. Techniques and concepts are typically illustrated through a series of examples. …” —Zentralblatt MATH, 2000

“… a handy reference as well as a good textbook.” —ISI Short Book Review

Catalog no. K11592, August 2011, c. 720 pp. ISBN: 978-1-4398-3528-9, $99.95 / £49.99

Third Edition Bilal M. Ayyub and Richard H. McCuen University of Maryland, College Park, USA

The third edition of this bestselling text presents probability, statistics, reliability, and risk methods with an ideal balance of theory and applications. It places increased emphasis on simulation, particularly as a modeling tool, applying it progressively with projects that continue in each chapter. This edition also features expanded discussions of the analysis of variance and a thorough treatment of Monte Carlo simulation. Catalog no. K10476, April 2011, c. 674 pp. ISBN: 978-1-4398-0951-8, $119.95 / £76.99


Coming Soon!

Expansions and Asymptotics for Statistics Christopher G. Small

Value Added Decision Making for Managers Kenneth Chelst Wayne State University, Detroit, Michigan, USA

University of Waterloo, Ontario, Canada

Yavuz Burak Canbolat

Providing a broad toolkit of analytical methods, this book shows how asymptotics, when coupled with numerical methods, becomes a powerful way to acquire a deeper understanding of the techniques used in probability and statistics. It describes core ideas in statistical asymptotics and covers Laplace approximation, the saddle-point method, and summation of series. The author supplements some topics with relevant Maple™ commands and provides a list of common series and products, enabling readers to expand an expression or simplify an expansion.

This book presents approaches and mathematical models designed to structure the decision making process. With numerous real-world examples from a variety of industries, it highlights symptoms of a poor decision process; presents an influence diagram that clarifies key objectives and uncertainties; and demonstrates the role of structured decision making in common day-to-day decisions using templates, illustrations, and comprehensive lists. A CD-ROM provides software for decision trees and multi-objective decisions as well as PowerPoint slides.

Catalog no. C5904, 2010, 357 pp. ISBN: 978-1-58488-590-0, $89.95 / £57.99

Catalog no. C7572, August 2011, c. 480 pp. ISBN: 978-1-4200-7572-4, $99.95 / £63.99

Abbott Laboratories, Abbott Park, Illinois, USA

28 The Latest Books in Mathematics from Chapman & Hall/CRC Press

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Financial Mathematics Monte Carlo Methods and Models in Finance and Insurance Ralf Korn University of Kaiserslautern, Germany

Elke Korn Independent Mathematical Consultant, Stelzenberg, Germany

Gerald Kroisandt Fraunhofer ITWM, Kaiserslautern, Germany

Offering a unique balance between applications and calculations, this book incorporates the application background of finance and insurance with the theory and applications of Monte Carlo methods. It presents recent methods and algorithms, including the multilevel Monte Carlo method, the statistical Romberg method, and the Heath–Platen estimator, as well as recent financial and actuarial models, such as the Cheyette and dynamic mortality models. Catalog no. C7618, 2010, 484 pp. ISBN: 978-1-4200-7618-9, $89.95 / £57.99


Risk Analysis in Finance and Insurance Second Edition Alexander Melnikov University of Alberta, Edmonton, Canada

Reorganized and expanded, this updated book introduces the main ideas, techniques, and stochastic models of financial mathematics. It explores the problems of managing insurance risks and examines the multiple intrinsic connections between insurance risks and financial risks. With more examples and problems, this edition contains an expanded section on the foundations of probability and stochastic analysis and covers new topics, including financial markets with stochastic volatility, risk measures, risk-adjusted performance measures, and equity-linked insurance. Catalog no. C0525, April 2011, c. 328 pp. ISBN: 978-1-4200-7052-1, $89.95 / £57.99




A Numeraire Approach

Operational Risk Modelling and Management

Jan Vecer

Claudio Franzetti

Stochastic Finance

Columbia University, New York, New York, USA

“Although the importance of the choice of numeraire has been recognized for quite some time, this is the first book to stress the fundamental role that numeraires play in modern asset pricing theory. The author is the leading expert on the subject so it is a pleasure to highly recommend this book.” —Peter Carr, Ph.D., Managing Director of Morgan Stanley and Executive Director of NYU’s Masters in Math Finance

Catalog no. K10632, January 2011, 342 pp. ISBN: 978-1-4398-1250-1, $69.95 / £44.99

SERV, Zurich, Switzerland

Helping you navigate the tricky world of risk calculation and management, this book presents two main building blocks for determining how much capital needs to be reserved for operational risk. It employs the loss distribution approach as a model for calculating the risk capital figure and explains risk mitigation through management and management’s actuations. While R scripts are used for some examples, a prototypical software program for the more detailed run-through example is available on a supporting website. Catalog no. K11986, January 2011, 413 pp. ISBN: 978-1-4398-4476-2, $99.95 / £63.99

For more information and complete contents, visit


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Financial Mathematics


Stochastic Financial Models

Introduction to Credit Risk Modeling Second Edition Christian Bluhm Munich, Germany

Ludger Overbeck

Douglas Kennedy

University of Giessen, Germany

Trinity College, Cambridge, UK

Christoph Wagner

“This book is a superb beginning level text for senior undergraduate/graduate mathematicians … . Many of my own Ph.D. and masters students have taken Dr. Kennedy’s course to uniformly good reviews; this readable book will make its material available to a worldwide audience. … the book contains 40 pages of fully worked out solutions to help introduce the reader to the Oxbridge style of learning … .” —M.A.H. Dempster, Centre for Financial Research, Statistical Laboratory, University of Cambridge, UK

Catalog no. C3452, 2010, 264 pp. ISBN: 978-1-4200-9345-2, $69.95 / £44.99

Munich, Germany

“… A great first step into credit risk modeling. … The book provides a nice coherent overview of the methods used in capital allocation. … The book is written in a mixture of theorem-proof and applied styles. … I find this rather pleasing, as it gives the reader the edge of theoretical exposition, which is extremely important. … One really useful side of the book is that it provides step-by-step guide to methods presented. …” —MAA Reviews, January 2011

Catalog no. C8992, 2010, 384 pp. ISBN: 978-1-58488-992-2, $79.95 / £49.99


Utility-Based Learning from Data Craig Friedman


Standard & Poor’s, New York, New York, USA

Portfolio Optimization

Sven Sandow

Michael J. Best

Morgan Stanley, New York, New York, USA

“… an excellent treatment of data-driven statistics for decision-making. … A must-read for serious statisticians! —Marco Avellaneda, Professor of Mathematics, New York University, and Risk Magazine Quant of the Year 2010

“… a much-needed and comprehensive book, which should help put model-building for use by decision makers on more solid ground.” —Gregory Piatetsky-Shapiro, editor of, co-founder and past Chair of SIGKDD, and founder of the KDD conferences

University of Waterloo, Ontario, Canada

Eschewing a more theoretical approach, Portfolio Optimization shows how the mathematical tools of linear algebra and optimization can quickly and clearly formulate important ideas on the subject. This practical book extends the concepts of the Markowitz “budget constraint only” model to a linearly constrained model. It uses MATLAB® to help with problem solving and offers the programs on a CD-ROM. Catalog no. C5840, 2010, 236 pp. ISBN: 978-1-4200-8584-6, $79.95 / £49.99

Catalog no. C6226, January 2011, 417 pp. ISBN: 978-1-58488-622-8, $79.95 / £49.99

30 The Latest Books in Mathematics from Chapman & Hall/CRC Press

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New Finance & Management Handbooks Gain new insight into risk management, economics, and finance Pension Fund Risk Management Financial and Actuarial Modeling Edited by

Marco Micocci, Greg N. Gregoriou, and Giovanni Batista Masala A Global Perspective on the Modern Risks Associated with the Pension Fund Sector Sheds new light on the current state of pension fund risk management and provides new technical tools for addressing pension risk from an integrated point of view Catalog no. K10909, 2010, 764 pp. ISBN: 978-1-4398-1752-0

$99.95 / £63.99

Handbook of Solvency for Actuaries and Risk Managers Theory and Practice Arne Sandstrom A One-Stop Shop for Actuaries and Risk Managers Offers a complete overview of solvency, risk management topics, and the European Solvency II standard formula Catalog no. K11129, January 2011, 1113 pp. ISBN: 978-1-4398-2130-5

$139.95 / £89.00

Handbook of Empirical Economics and Finance Edited by

Aman Ullah and David E.A. Giles Up-to-Date Coverage of Economic and Financial Models and Analytical Techniques Brings together previously unpublished material on econometrics as well as new methodological and applied results Catalog no. C7035, January 2011, 532 pp. ISBN: 978-1-4200-7035-4

$149.95 / £95.00

For more information about these handbooks, visit CRC Press Online

6000 Broken Sound Parkway, NW, Suite 300 Boca Raton, FL 33487, USA

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For a complete list of Mathematics books please visit

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Mathematics - March 2011  
Mathematics - March 2011  

The Latest Books in Mathematics from Chapman & Hall/CRC Press