Applied Mathematics References by CRC Press

e Se

â&#x20AC;&#x2122;re

y at

rs W ffe NO ail o com UP E em ess. GN IV pr SI CLUS .crc X ww rE w fo at

Contents General Math........................................................3 Numerical Analysis and Mathematical Computation ................................8 Discrete Math and Cryptography ......................11 Differential Equations and Nonlinearity ..............16 Page 4

Page 8

Mathematics for Finance ....................................23 Probability and Operations Research ..................27 Math for Engineering..........................................31 Math for the Physical Sciences ..........................33 Math for Computer Science ..............................35 Math for Biology ................................................37

Page 11

Join the CRC Press online community! Sign up for email alerts at CRCPress.com and be the first to know about new books in your area of interest. You will also be eligible for: • • • • •

Page 13

Page 17

Exclusive discounts Content Event announcements New book alerts FREE shipping

only available in our email and print promotions. Take full advantage of your insider savings and free shipping when you buy directly from CRCPress.com http://www.crcpress.com

To view more information and complete tables of contents for these and many other related books, Visit us at

www.crcpress.com e-mail: orders@crcpress.com 1-800-634-7064 • 1-859-727-5000 +44 (0) 1235 400 524 KZM02 5.5x8.5 MC_ISSUU 10.30.13gtr

General Math The Geometry of Musical Rhythm What Makes a "Good" Rhythm Good? Godfried T. Toussaint New York University Abu Dhabi, United Arab Emirates

"Toussaint leads us across the globe on the track of some of music’s most powerful and resilient rhythmic patterns. Along the way, we’re treated to many marvels — musical and mathematical. This is a book full of ideas and suggestions for further experiments in thinking. It is an invitation for mathematicians to try their hands at unraveling the puzzles of musical time patterns and an invitation for musicologists to explore the widest range of current quantitative methods." —Christopher Hasty, Walter W. Naumburg Professor of Music Theory, Harvard University

New!

Wearing Gauss’s Jersey Dean Hathout This text focuses on "Gauss problems"—problems that can be very tedious and time consuming when tackled in a traditional, straightforward way but can yield the solution much more easily and elegantly if approached in a more insightful fashion. The book shows how mathematical problem solving can be fun and how students can improve their mathematical insight, regardless of their initial level of knowledge. Illustrating the underlying unity in mathematics, it also explores how problems seemingly unrelated on the surface are actually extremely connected to each other. Figures slides are available upon qualifying course adoption. Catalog no. K14699, May 2013, 276 pp. ISBN: 978-1-4665-0864-4, $24.95 / £18.95

Catalog no. K14867, January 2013, 365 pp. Soft Cover, ISBN: 978-1-4665-1202-3 $39.95 / £25.99

New!

Mathematics and Music

Do I Count?

Composition, Perception, and Performance James S. Walker University of Wisconsin, Eau Claire, USA

Gary W. Don University of Wisconsin, Eau Claire, USA

This accessible text teaches the basics of reading music and explains how various patterns in music can be described with mathematics. The authors extensively use the powerful time-frequency method of spectrograms to analyze the sounds created in musical performance. Numerous examples of music notation assist students in understanding basic musical scores. The text also provides mathematical explanations for musical scales, harmony, and rhythm and includes a concise introduction to digital audio synthesis. Video demos, music software, and more are available on the book’s CRC Press web page. A solutions manual and figure slides are available upon qualifying course adoption.

Stories from Mathematics Gunter M. Ziegler Freie Universität Berlin, Germany

"… unlocks the secrets of what mathematicians do and how they go about doing it. Along the way, he touches on the making of mathematics as an analogue of the making of love, and talks about such things as number superstitions, prime numbers old and new, interesting mathematical characters dead and alive, and some intriguing mathematical questions, questions that can be understood by virtually anyone, but which mathematicians are still trying to answer. … a book that everyone can enjoy …" —Jacob E. Goodman, Founding Editor, Discrete & Computational Geometry

Catalog no. K16071, July 2013, 226 pp. Soft Cover, ISBN: 978-1-4665-6491-6 $29.95 / £18.99

Catalog no. K13012, April 2013, 342 pp. Soft Cover, ISBN: 978-1-4398-6709-9 $59.95 / £38.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

General Math New!

Mathematical Card Magic Fifty-Two New Effects Colm Mulcahy Spelman College, Atlanta, Georgia, USA

"This is an amazing volume! Prof. Mulcahy has left one mystery for his readers to solve: Is it a really good math book, using card tricks to explain the math, or is it a really good magic book, using math to explain the magic? Either way, there’s not a wrong answer to this question." —S. Brent Morris, PhD, author of Magic Tricks, Card Shuffling, and Dynamic Computer Memories Catalog no. K14741, September 2013, 380 pp. ISBN: 978-1-4665-0976-4, $29.95 / £19.99

Number, Shape, & Symmetry An Introduction to Number Theory, Geometry, and Group Theory Diane L. Herrmann and Paul J. Sally, Jr. University of Chicago, Illinois, USA

"… It is good to see the arithmetic developed in detail from the fundamental axioms so that students have a clear understanding of each consequence. It is also good that the authors do not take for granted how to solve equations … When I was reading the text, I thought it was my own personal professor who was not only teaching and presenting material, but was guiding me through each step of the lesson through clear examples, as if presented in a face-to-face class." —Peter Olszewski, MAA Reviews, August 2013

Catalog no. K15328, October 2012, 444 pp. ISBN: 978-1-4665-5464-1, $69.95 / £44.99 Also available as an eBook

Project Origami Activities for Exploring Mathematics, Second Edition

Károly Simonyi

Thomas Hull This classroom-tested text presents a flexible, discoverybased approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry to the fields of algebra, number theory, and combinatorics. With over 100 new pages, this updated and expanded edition now includes 30 activities and offers better solutions and teaching tips for all activities. Each activity lists courses in which the activity might fit, includes handouts for classroom use, and provides notes for instructors. Catalog no. K16368, December 2012, 364 pp. Soft Cover, ISBN: 978-1-4665-6791-7 $49.95 / £31.99 Also available as an eBook

A Cultural History of Physics “… takes the reader on an immensely detailed and thoughtful tour. … meticulously explains the specifics of its many examples, and it’s packed cover to cover with charts, graphs, and diagrams illustrating key physics discoveries and how they revolutionized the world. A working knowledge of algebra or basic calculus will aid the reader in fully understanding specific examples, but the broader picture of human history transformed by science is thoroughly accessible to lay readers. Highly recommended, especially for college and public library science shelves.” —Library Bookwatch, April 2012

Catalog no. K00315, January 2012, 636 pp. ISBN: 978-1-56881-329-5, $59.00 / £37.99

Save when you order online at www.crcpress.com

General Math Unexpected Expectations

Abraham De Moivre

The Curiosities of a Mathematical Crystal Ball

Setting the Stage for Classical Probability and Its Applications

Leonard M. Wapner

David R. Bellhouse

El Camino College, Torrance, California, USA

University of Western Ontario, London, Canada

"Expectation is an extension of the idea of average value, and is a basic tool of probability theory that underlies both the gaming and insurance industries. Unexpected Expectations is a fascinating look at some of the counterintuitive aspects of this apparently simple concept."

"… the first extensive intellectual biography of De Moivre; it is excellent. … deals not only with DeMoivre’s work on probability, as one might expect based on the subtitle, but with his integral mathematical work as well. … Everything in this book is written with mathematical clarity and exactness. … wholeheartedly recommended to all who like probability, mathematics, history, and fair speeches. This is the kind of definitive text that is a must for every history of mathematics shelf."

—Jim Stein, NewBooksinMath.com, May 2013

"Every reader—unless they are encyclopedic consumers of all things related to mathematical expectation both in technical journals and the popular press—will find illuminating discussions of paradoxical probabilities that are new to them." —Andrew James Simoson, Mathematical Reviews, January 2013

—Aleksandar M. Nikolić, Mathematical Reviews, 2012

Catalog no. K00321, October 2011, 266 pp. ISBN: 978-1-56881-349-3, $45.00 / £28.99 Also available as an eBook

Catalog no. K13061, June 2012, 220 pp. ISBN: 978-1-56881-721-7, $39.95 / £25.99 Also available as an eBook

The Universal Computer The Road from Leibniz to Turing Martin Davis "… fresh and compelling. … I recommend this book very highly. It is suitable for a high school or college library." —Richard Wilders, MAA Reviews, September 2012

"At last, a book about the origin of the computer that goes to the heart of the story: the human struggle for logic and truth. … Davis shows the extraordinary individuals through whom the groundwork of the computer came into being, and the culmination in Alan Turing, whose universal machine now dominates the world economy." —Andrew Hodges, author of Alan Turing: The Enigma

Catalog no. K14553, December 2011, 240 pp. Soft Cover, ISBN: 978-1-4665-0519-3 $29.95 / £19.99

Handbook of Scientific Proposal Writing A.Yavuz Oruç University of Maryland, College Park, USA

Written for students and researchers in all fields and disciplines, this reference offers a holistic approach to conceiving and then converting new ideas into effective proposals. It focuses on the technical aspects of writing proposals rather than the fundraising aspects. To help readers understand proposal writing, chapters provide full coverage of the scientific method, including information on how scientific research should be conducted. Furthermore, this book provides the tools necessary to organize ideas and obtain the funds needed to effectively manage projects. Catalog no. K13170, October 2011, 243 pp. ISBN: 978-1-4398-6918-5, $62.95 / £40.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

General Math Gottfried Wilhelm Leibniz The Polymath Who Brought Us Calculus Edited by

Gian-Carlo Rota on Mathematics and Phenomenology Fabrizio Palombi

M. B. W. Tent

University of Calabria, Italy

“… the reader gets a good impression of Leibniz's life and ideas.” —Charlotte Wahl, Zentralblatt MATH 1234

“… this book permits us to place in our mind many of Leibniz’s important contributions at the right place and time where they occurred … written in a very vivid style … very commendable.” —Marcel Guillaume, Mathematical Reviews, 2012

“… fun to read, and the book is instructive. Tent knows what she’s talking about. … A fun book to take on holiday.” —Rudi Penne and Paul Levrie, WeetLogs.SciLogs.be, April 2012

Catalog no. K14134, October 2011, 260 pp. ISBN: 978-1-4398-9222-0, $29.95 / £18.99 Also available as an eBook

Origami Design Secrets Mathematical Methods for an Ancient Art, Second Edition

This book is the first study of 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 in general will enjoy this essential introduction to the reflections of a great intellectual. Catalog no. K00789, August 2011, 138 pp. Soft Cover, ISBN: 978-1-56881-583-1 $29.95 / £18.99 Also available as an eBook

CRC Standard Mathematical Tables and Formulae 32nd Edition Edited by

Robert J. Lang http://www.langorigami.com, Alamo, California, USA

“… It’s a tribute to both the author and the publisher (CRC Press) that such major updates have been allowed. … without doubt the best guide to creating origami that has ever been published and I suspect it will retain the crown forever. … Quite simply, all creative folders should own this book if they have any interest in developing their skills. Even if they have no such interest, they should buy it — it’s that good. —Nick Robinson, origami artist and author, on his blog, September 2011

Catalog no. K13068, October 2011, 770 pp. Soft Cover, ISBN: 978-1-56881-436-0 $59.95 / £38.99 Also available as an eBook

The Star and the Whole

Daniel Zwilliger Series: Discrete Mathematics and Its Applications

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 chapter on mathematical formulae from the sciences, the latest edition includes 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. Each section contains a valuable collection of fundamental reference material. Catalog no. K11596, June 2011, 833 pp. ISBN: 978-1-4398-3548-7, $72.95 / £46.99 Also available as an eBook

Save when you order online at www.crcpress.com

General Math Mathematics Education for a New Era

Forthcoming!

Video Games as a Medium for Learning

Puzzles and Patterns for the Bead Crochet Artist

Keith Devlin Stanford University, California, USA

“Well-written and accessible … delineates characteristics that teachers might look for when examining games, types of mathematics ideally suited for such an environment, and advantages that such a transformation might have, specifically a self-paced learning environment and motivation for reluctant learners. … Highly recommended.” —S.T. Schroth, CHOICE, November 2011

“Keith Devlin makes the case for embracing video games as not just an opportunity for teaching mathematics, but as an ideal medium for doing so. The opportunities gaming provides for learning mathematics are illustrated in great detail. …” —Bill Wood, MAA Reviews, September 2011

Catalog no. K13065, February 2011, 218 pp. Soft Cover, ISBN: 978-1-56881-431-5 $31.95 / £26.99 Also available as an eBook

Forthcoming!

Puzzles, Paradoxes, Problems

An Introduction to Mathematical Thinking Douglas R. Shier Clemson University, South Carolina, USA

Marilyn A. Reba Clemson University, South Carolina, USA

Taking an alternative approach to related math texts for liberal arts students, this classroom-tested book emphasizes mathematical representations, strategies, and solution methods that address both engaging puzzles and important societal problems. Students learn effective ways to decipher, manipulate, and decompose problems; reframe paradoxes; control complexity; and team with others to find creative, if only approximate, solutions. The book helps students discover that mathematical thinking in the age of algorithms, optimization, and probabilistic inference extends beyond traditional algebra and calculus.

Crafting Conundrums

Ellie Baker Susan Goldstine St. Mary's College of Maryland, St. Mary's City, USA

This book is for crafters, puzzle lovers, and pattern designers alike. Experienced bead crochet crafters looking for a project to curl up with may well choose to skip ahead to the pattern pages and begin crocheting from our abundance of unique, mathematically inspired designs. Those wishing to go beyond following others’ patterns to designing their own will find many useful tools, template patterns, and a new methodology for understanding how to do so, even without needing any math. Catalog no. K20387, May 2014 ISBN: 978-1-4665-8848-6, $39.95 / £25.99 Also available as an eBook

Forthcoming!

Basic Gambling Mathematics The Numbers Behind The Neon Mark Bollman This book presents the elementary mathematics involved in gambling. It develops the necessary mathematics of permutations, combinations, and expectation and then uses the mathematics to examine various games of chance. The book covers both game situations, such as the probability that two bingo cards will have no numbers in common, and wagering decisions, such as the expectation of a one-dollar tie bet at baccarat. With exercises included, the text can be used in an elementary probability course. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K21612, May 2014, 250 pp. Soft Cover, ISBN: 978-1-4822-0893-1 $59.95 / £38.99

Catalog no. K22544, April 2014, 750 pp. ISBN: 978-1-4822-2753-6, $99.99 / £63.99

For more information and complete contents, visit www.crcpress.com

Numerical Analysis and Mathematical Computation New!

New!

Designing Scientific Applications on GPUs

Elements of Quantum Computation and Quantum Communication

Edited by

Raphael Couturier University of Franche-Comte, Belfort, France Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series, Vol. 21

General purpose graphics processing units (GPGPUs) enable researchers in a variety of fields to benefit from the computational power of all the cores available inside graphics cards. This book shows you how to use GPUs for applications in diverse scientific fields, from physics and mathematics to computer science. The book explains the methods necessary for designing or porting your scientific application on GPUs and will improve your knowledge about image processing, numerical applications, methodology to design efficient applications, optimization methods, and much more. Catalog no. K16551, November 2013, 504 pp. ISBN: 978-1-4665-7162-4, $89.95 / £57.99 Also available as an eBook

While there are many available textbooks on quantum information theory, most are either too technical for beginners or not complete enough. Filling the gap, this book gives a clear, self-contained introduction to quantum computation and communication. Exploring recent developments and open questions in the field, it prepares readers for further study and helps them understand more advanced texts and journal papers. Along with thought-provoking cartoons and brief biographies of key players in the field, each chapter includes examples, references, exercises, and problems with detailed solutions. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K15136, June 2013, 340 pp. ISBN: 978-1-4665-1791-2, $79.95 / £49.99 Also available as an eBook

XML in Scientific Computing

New!

Introduction to Numerical Analysis and Scientific Computing

C. Pozrikidis University of Massachusetts, Amherst, USA

Nabil Nassif and Dolly Khuwayri Fayyad American University of Beirut, Lebanon

Designed for a one-semester course on the subject, this classroom-tested text presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. Drawing on their years of teaching students in mathematics, engineering, and the sciences, the authors cover floating-point number representations, nonlinear equations, linear algebra concepts, the Lagrange interpolation theorem, numerical differentiation and integration, and ODEs. They also focus on the implementation of the algorithms using MATLAB®. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K20409, August 2013, 329 pp. ISBN: 978-1-4665-8948-3, $89.95 / £57.99 Also available as an eBook

Anirban Pathak

Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

"… written in a clear and readable style. It can be recommended to anybody interested in scientific computing in the context of combining classical environments, like MATLAB®, with the XML framework." —Jaroslav Pokorný, Zentralblatt MATH 1263

"… is the first of its kind to discuss the seamless integration of data and code. The text is written by one of the most authoritative researchers in computational science." —Professor George M. Karniadakis, Brown University A suite of computer programs are available on the author’s website.

Catalog no. K14885, September 2012, 260 pp. ISBN: 978-1-4665-1227-6, $69.95 / £44.99 Also available as an eBook

Save when you order online at www.crcpress.com

Numerical Analysis and Mathematical Computation Cloud Computing Data-Intensive Computing and Scheduling Frederic Magoules, Jie Pan, and Fei Teng Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

This book presents various technologies that demonstrate how cloud computing can meet business requirements and serve as the infrastructure of multidimensional data analysis applications. Addressing performance issues, it explores the evolution of classical techniques and describes completely new methods and innovative algorithms. The text covers scheduling algorithms for real-time tasks and practical algorithms for user bidding and auctioneer pricing. It explains approaches to data analytical query processing, including pre-computing, data indexing, and data partitioning. Applications of MapReduce, a new parallel programming model, are also presented. Catalog no. K14685, September 2012, 231 pp. ISBN: 978-1-4665-0782-1, $79.95 / £49.99 Also available as an eBook

Particle Swarm Optimisation Classical and Quantum Perspectives Jun Sun, Choi-Hong Lai, and Xiao-Jun Wu Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

Helping readers numerically solve optimization problems, this book focuses on the fundamental principles and applications of PSO and QPSO algorithms. The authors develop their novel QPSO algorithm, a PSO variant motivated from quantum mechanics, and show how to implement it in real-world applications, including inverse problems, digital filter design, economic dispatch problems, multiple sequence alignment, and image processing. They also cover advanced topics such as the behavior of individual particles, global convergence, time complexity, and convergence rate. Source codes for the algorithms are available on a CD-ROM. Catalog no. K11612, December 2011, 419 pp. ISBN: 978-1-4398-3576-0, $93.95 / £59.99 Also available as an eBook

Desktop Grid Computing Edited by

Christophe Cerin Universite Paris XIII, Villetaneuse, France

Gilles Fedak INRIA, University of Lyon, France Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

“I think that this book is a necessity—a necessity for researchers, teachers, students, and for people concerned by this topic in the industry. … I hope that readers of this book will feel the extraordinary freedom that researchers in desktop grids or volunteer computing enjoy. I hope that students will engage themselves in this research domain and continue to reinvent it.” —Franck Cappello, Co-Director, INRIA-Illinois Joint Laboratory on PetaScale Computing

Catalog no. K12879, June 2012, 388 pp. ISBN: 978-1-4398-6214-8, $89.95 / £57.99 Also available as an eBook

Undocumented Secrets of MATLAB®-Java Programming Yair Altman Ganey Tivka, Israel

Many people know that a major part of the functionality of the MATLAB® software package is based on Java. But fewer people know how to manipulate Java to achieve improved appearance and functionality and thus heighten MATLAB software’s applicability to real world, modern situations. Organized by related functionality/usage and ordered from facile to complex, this book presents examples, instruction, and code snippets in stand-alone, self-contained chapters. Requiring no prior Java knowledge, this book provides numerous online references and resources to show readers how to use and discover new components and functionalities using nothing but MATLAB itself as the discovery tool. Catalog no. K13163, December 2011, 701 pp. ISBN: 978-1-4398-6903-1, $69.95 / £44.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Numerical Analysis and Mathematical Computation An Introduction to Numerical Methods A MATLAB® Approach, Third Edition Abdelwahab Kharab Department of Mathematics, Abu Dhabi University, United Arab Emirates

Ronald B. Guenther Oregon State University, Corvallis, USA

This popular text continues to present a wide range of useful and important algorithms for scientific and engineering applications. Along with MATLAB® GUIs throughout, this third edition incorporates a chapter on the numerical solution of integral equations and a section on nonlinear PDEs. The authors use MATLAB to illustrate each numerical method, providing full details of the computer results and supplying the MATLAB functions on a CD-ROM. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K13161, November 2011, 576 pp. ISBN: 978-1-4398-6899-7, $89.95 / £44.99 Also available as an eBook

Computational Fluid Dynamics Edited by

Iterative Splitting Methods for Differential Equations Juergen Geiser Ernst-Moritz-Arndt University of Greifswald, Germany Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

This work explains how to solve evolution equations via novel iterative-based splitting methods that efficiently use computational and memory resources. It focuses on systems of parabolic and hyperbolic equations, including convection-diffusion-reaction equations, heat equations, and wave equations. The author analyzes the stability and consistency of the iterative splitting method for ODEs and extends the method to PDEs and spatial- and time-dependent differential equations. He also presents the numerical results of benchmark and real-life applications, including elastics wave propagation and complex flow phenomena. An instructor's manual is available upon qualifying course adoption. Catalog no. K13211, June 2011, 320 pp. ISBN: 978-1-4398-6982-6, $93.95 / £59.99 Also available as an eBook

Coupled Systems Theory, Models, and Applications in Engineering

Frederic Magoules École Centrale Paris, Châtenay Malabry, France Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

Exploring 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, mixedelement-volume, and free surface flow methods, along with many real-world applications. The contributors show how the SPH-ALE method properly represents highly distorted interfaces and dynamic flows. They also describe the solution of complex flow problems via direct numerical simulation, Reynolds-averaged Navier–Stokes equations, and large eddy simulation.

Juergen Geiser Ernst-Moritz-Arndt University of Greifswald, Germany Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

This book describes the theoretical and practical aspects of solving complicated and coupled models in engineering with analytical and numerical methods. It covers analytical and numerical methods in time and space for evolution equations that arise from engineering problems and their applications. The book covers separate, multiple and logical scales. MATLAB® code for implementation is included. Catalog no. K16822, February 2014, 304 pp. ISBN: 978-1-4665-7801-2, $89.95 / £57.99 Also available as an eBook

Catalog no. K12660, August 2011, 407 pp. ISBN: 978-1-4398-5661-1, $125.95 / £79.99 Also available as an eBook

Save when you order online at www.crcpress.com

Discrete Math and Cryptography Secret History The Story of Cryptology Craig P. Bauer York College of Pennsylvania and National Security Agency Center for Cryptologic History (20112012 Scholar-in-Residence), USA

New!

Algebraic Curves in Cryptography San Ling, Huaxiong Wang, and Chaoping Xing

Series: Discrete Mathematics and Its Applications

Nanyang Technological University, Singapore

"… EXCELLENT. … by far the clearest and most comprehensive of the books dealing with the new cryptology, including of course the classic ciphers and some of the important historical ones such as Enigma and Purple, but also the newer systems such as DES and public-key cryptography. The history seems accurate and the book provides what I was unable to give cryptology—a mathematical underpinning to it all. … All of us in the cryptology community are grateful to you for it."

Series: Discrete Mathematics and Its Applications

—David Kahn, historian, and author of The Codebreakers

Catalog no. K15955, March 2013, 620 pp. ISBN: 978-1-4665-6186-1, $69.95 / £44.99

New!

Handbook of Finite Fields

This self-contained book is one of the first to focus on many topics in cryptography involving algebraic curves. After supplying the necessary background on algebraic curves, the authors discuss error-correcting codes, including algebraic geometry codes, and provide an introduction to elliptic curves. Each chapter in the remainder of the book deals with a selected topic in cryptography (other than elliptic curve cryptography). The topics covered include secret sharing schemes, authentication codes, frameproof codes, key distribution schemes, broadcast encryption, and sequences. Catalog no. C7946, June 2013, 340 pp. ISBN: 978-1-4200-7946-3, $79.95 / £49.99 Also available as an eBook

New!

Pennsylvania State University, University Park, USA

Discrete Structures and Their Interactions

Daniel Panario

Jason I. Brown

Carleton University, Ottawa, Ontario, Canada

Dalhousie University, Halifax, Canada

Series: Discrete Mathematics and Its Applications

Poised to become the leading reference in the field, this definitive handbook is exclusively devoted to the theory and applications of finite fields. Edited by two renowned researchers and with more than 80 international contributors compiling state-of-the-art research, the book uses a uniform style and format throughout and each chapter is self contained and peer reviewed. The handbook provides a comprehensive index and easy access to over 3,000 references, enabling readers to quickly locate up-to-date facts and results regarding finite fields.

With exercises and research problems, this text highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics, such as linear and multilinear algebra, analysis, probability, logic, and topology. The author explains how discrete structures have important applications in many areas inside and outside of combinatorics. He also discusses how to recognize valuable research connections through the structures. A solutions manual and figure slides are available upon qualifying course adoption.

Gary L. Mullen

Catalog no. K13417, June 2013, 1068 pp. ISBN: 978-1-4398-7378-6, $139.95 / £89.00 Also available as an eBook

Catalog no. K16844, June 2013, 224 pp. ISBN: 978-1-4665-7941-5, $79.95 / £49.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Discrete Math and Cryptography New!

Handbook of Graph Drawing and Visualization Edited by

Roberto Tamassia Brown University, Providence, Rhode Island, USA Series: Discrete Mathematics and Its Applications

"This handbook is the most comprehensive reference on graph drawing I have ever seen. It is an indispensable aid to programmers, engineers, students, teachers, and researchers who create or use algorithms and systems for visualizing networks and abstract graphs. It covers the theory and practice in core topics and related areas, such as labeling, programming frameworks, and applications in network analysis. It’s an amazing compendium of almost everything known about practical graph drawing." —Stephen North, Executive Director and Co-Founder of graphviz.org

Catalog no. C4126, August 2013, 862 pp. ISBN: 978-1-58488-412-5, $99.95 / £63.99

New!

Handbook of Graph Theory Second Edition Edited by

Jonathan L. Gross, Jay Yellen, and Ping Zhang

Abhijit Das Indian Institute of Technology, Kharagpur Series: Discrete Mathematics and Its Applications

Developed from the author’s popular graduate-level course, this self-contained text presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra and requiring no prior experience with number theory or sophisticated algebraic tools, the book covers many computational aspects of number theory and highlights important and interesting engineering applications. With an emphasis on implementation issues, it uses the freely available number-theory calculator GP/PARI to demonstrate complex arithmetic computations. The text includes numerous examples and exercises throughout and omits lengthy proofs, making the material accessible to students and practitioners. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K12950, March 2013, 614 pp. ISBN: 978-1-4398-6615-3, $89.95 / £57.99 Also available as an eBook

New!

Near Rings, Fuzzy Ideals, and Graph Theory Bhavanari Satyanarayana

Series: Discrete Mathematics and Its Applications, Vol. 83

Praise for the First Edition: “… a fine guide to various literatures, especially for topics like Ramsey theory … Highly recommended.” —CHOICE, January 2005, Vol. 42, No. 05

The most comprehensive single-source guide to graph theory, the new edition of this bestselling handbook covers the most current significant topics in graph theory. Designed with non-experts in mind, this unified, authoritative book makes information easy to find and easy to understand. Each chapter includes lists of definitions and facts accompanied by examples, tables, remarks, a glossary, a bibliography, and, in some areas, conjectures and open problems. Catalog no. K13767, December 2013, 1608 pp. ISBN: 978-1-4398-8018-0, $139.95 / £89.00 Also available as an eBook

Computational Number Theory

Acharya Nagarjuna University, Andra Pradesh, India

Kuncham Syam Prasad Manipal University, India

Near ring theory has many applications in areas as diverse as digital computing, sequential mechanics, automata theory, graph theory, and combinatorics. Suitable for researchers and graduate students, this book provides readers with an understanding of near ring theory and its connection to fuzzy ideals and graph theory. It explores the relationship between near rings and fuzzy sets and between near rings and graph theory. The authors cover topics from recent literature along with several characterizations. Catalog no. K13386, May 2013, 480 pp. ISBN: 978-1-4398-7310-6, $99.95 / £63.99 Also available as an eBook

Save when you order online at www.crcpress.com

Discrete Math and Cryptography Combinatorics of Set Partitions Toufik Mansour University of Haifa, Israel Series: Discrete Mathematics and Its Applications

"… a comprehensive account of the history and current research in the combinatorics of pattern enumeration and pattern avoidance in set partitions. … a valuable reference for researchers in this field." —Ricardo Mamede, Zentralblatt MATH 1261

"… a comprehensive account of recent and current research on the pattern-related aspects of set partitions." —David Callan, Mathematical Reviews, April 2013 C++ programs and output tables are listed in the appendices and available for download online. Catalog no. K12931, July 2012, 516 pp ISBN: 978-1-4398-6333-6, $99.95 / £63.99 Also available as an eBook

Discrete Mathematics with Ducks

Cryptology Classical and Modern with Maplets Richard E. Klima Appalachian State University, Boone, North Carolina, USA

Neil P. Sigmon Radford University, Virginia, USA Series: Discrete Mathematics and Its Applications

“… a text that can be read by people with limited mathematics background, but at the same time is maintained at a college level. This is not "cryptology for dummies", watered down to the point of uselessness, but is instead a book that, though accessible, requires an appropriate amount of effort and thought on the part of the reader. … not only meets but exceeds its goal of being a suitable text for a course in cryptology for non-majors. … certainly belongs in any good university library.” —Mark Hunacek, MAA Reviews, September 2012

Catalog no. K13332, June 2012, 548 pp. ISBN: 978-1-4398-7241-3, $79.95 / £49.99 Also available as an eBook

In MAA’s Basic Library List

sarah-marie belcastro

Combinatorics of Permutations

Research Associate, Smith College, Northampton, Massachusetts, USA

Miklós Bona

“… the discovery/exploratory/problem solving approach is ABSOLUTELY the way this course should be taught, and of all the discrete books I have looked at, this text does the best job of supporting that kind of approach to the subject while still giving enough of the material in writing to fill in the gaps. ... I found that the material provided and the instructor notes cut down on my prep time, and I definitely referred to them. Having the in-class activities included is a huge benefit to this book.” —Dana Rowland, Associate Professor of Mathematics, Merrimack College

Catalog no. K14547, June 2012, 580 pp. ISBN: 978-1-4665-0499-8, $59.95 / £39.95 Also available as an eBook

Second Edition University of Florida, Gainesville, USA Series: Discrete Mathematics and Its Applications

There is a new chapter nine, ‘devoted to sorting algorithms whose original motivation comes from molecular biology.’ Chapters 1, 3, 4, and 6 have been ‘significantly changed and expanded’ and all chapters have new exercises and problems, some of which reflect recent results. This is an excellent book on an important subject. —Fernando Q. Gouvêa, MAA Reviews, December 2012

This book can be utilized at a variety of levels, from random samplings of the treasures therein to a comprehensive attempt to master all the material and solve all the exercises. In whatever direction the reader’s tastes lead, thorough enjoyment and appreciation of a beautiful area of combinatorics are certain to ensue. Catalog no. K12299, June 2012, 478 pp. ISBN: 978-1-4398-5051-0, $89.95 / £57.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Discrete Math and Cryptography Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

Handbook of Product Graphs

Jason J. Molitierno

Montanuniversität Leoben, Austria

Sacred Heart University, Fairfield, Connecticut, USA

Second Edition Richard Hammack Virginia Commonwealth University, Richmond, USA

Wilfried Imrich Sandi Klavžar

Series: Discrete Mathematics and Its Applications

“… this book works well as a reference textbook for undergraduates. Indeed, it is a distillation of a number of key results involving, specifically, the Laplacian matrix associated with a graph (which is sometimes called the ‘nodal admittance matrix’ by electrical engineers). … Molitierno’s book represents a well-written source of background on this growing field. The sources are some of the seminal ones in the field, and the book is accessible to undergraduates.” —John T. Saccoman, MAA Reviews, October 2012

Catalog no. K12933, January 2012, 425 pp., ISBN: 978-1-4398-6337-4, $89.95 / £57.99 Also available as an eBook

University of Ljubljana and University of Maribor, Slovenia Series: Discrete Mathematics and Its Applications

This handbook examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, this second edition presents full proofs of many important results as well as up-to-date research and conjectures. It illustrates applications of graph products in several areas and contains well over 300 exercises. Supplementary material is available on the book’s website. Catalog no. K10662, June 2011, 536 pp. ISBN: 978-1-4398-1304-1, $104.95 / £66.99 Also available as an eBook

RC4 Stream Cipher and Its Variants

Bijective Combinatorics

Goutam Paul Subhamoy Maitra

Virginia Polytechnic Institute and State University, Blacksburg, USA

Nicholas Loehr

Series: Discrete Mathematics and Its Applications

Indian Statistical Institute, Kolkata Series: Discrete Mathematics and Its Applications

"This remarkable monograph is ‘the first one on RC4.’ The theory surrounding the development of RC4 is very helpful for the study of stream ciphers in general, as the authors say. The book will be of interest to scholars and students whose expertise lies in cryptography, applied mathematics, computer security, and so on." —Zhixiong Chen, Mathematical Reviews, January 2013

Catalog no. K11529, November 2011, 311 pp. ISBN: 978-1-4398-3135-9, $93.95 / £59.99 Also available as an eBook

“… suitable for advanced undergraduates or as a graduate text. It would also be a good book for a computer scientist who wants to learn about enumeration. The book begins with an enchanting introductory chapter. It details a series of interesting motivational problems … The book is clearly written and packed with examples and problems (it provides answers and hints to selected problems at the end). … the book is an excellent … a comprehensive and welcome addition … .” —Angele M. Hamel, Computing Reviews, August 2011

Catalog no. K12206, February 2011, 612 pp. ISBN: 978-1-4398-4884-5, $104.95 / £66.99

Save when you order online at www.crcpress.com

Discrete Math and Cryptography Discrete Structures with Contemporary Applications Alexander Stanoyevitch California State University–Dominguez Hills, Carson, USA

“…this is the most physically readable textbook that I have seen in a long time. … there are many examples and in many cases proofs of the theorems are included. … The two most important courses in the computer science major are the first programming and discrete math classes. Each establishes a foundation of skills that will be repeatedly used throughout the major field of study and this book is an excellent text for the development of the needed skills in math.” —Charles Ashbacher, MAA Reviews, March 2011

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

Introduction to Cryptography with Mathematical Foundations and Computer Implementations Alexander Stanoyevitch California State University–Dominguez Hills, Carson, USA Series: Discrete Mathematics and Its Applications

“This book is a very comprehensible introduction to cryptography. It will be very suitable for undergraduate students. There is adequate material in the book for teaching one or two courses on cryptography. The author has provided many mathematically oriented as well as computer-based exercises. I strongly recommend this book as an introductory book on cryptography for undergraduates.” —IACR Book Reviews, April 2011

Catalog no. K10916, August 2010, 669 pp. ISBN: 978-1-4398-1763-6, $89.95 / £44.99 Also available as an eBook

Forthcoming!

Algebraic Number Fields and Their Completions

In MAA’s Basic Library List

Algebraic Number Theory Second Edition Richard A. Mollin

Nancy Childress Catalog no. K12415, May 2014, 352 pp. ISBN: 978-1-4398-5251-4, $89.95 / £57.99 Also available as an eBook

Forthcoming!

University of Calgary, Alberta, Canada

Introduction to Closure Systems

Series: Discrete Mathematics and Its Applications

Robert E. Jamison

“… completely reorganized and rewritten from the first edition. … Very Good Features: (1) The applications are not limited to Diophantine equations, as in many books, but cover a wide range, including factorization into primes, primality testing, and the higher reciprocity laws. (2) The book has a large number of mini-biographies of the number theorists whose work is being discussed. … “ —MAA Reviews, April 2011

The Basic Library List Committee considers this book essential for undergraduate mathematics libraries. Catalog no. K12056, January 2011, 442 pp. ISBN: 978-1-4398-4598-1, $93.95 / £59.99 Also available as an eBook

Catalog no. K11049, April 2014, 352 pp. ISBN: 978-1-4398-1991-3, $89.95 / £57.99 Also available as an eBook

Handbook of Elliptic and Hyperelliptic Curve Cryptography Second Edition Edited by

Henri Cohen, Gerhard Frey, Roberto Avanzi, Christophe Doche, Tanja Lange, Kim Nguye, and Frederik Vercauteren Catalog no. K11850, May 2014, 1024 pp. ISBN: 978-1-4398-4000-9, $109.95 / £70.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Differential Equations and Nonlinearity New Edition if a Bestseller!

Handbook of Linear Algebra Second Edition Edited by

Leslie Hogben Iowa State University, Ames, USA Series: Discrete Mathematics and Its Applications

Updated and expanded, the second edition of this bestseller provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. It guides readers from the very elementary aspects of the subject to the frontiers of current research. The book encompasses the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines. It also describes software packages for linear algebra computations, including MATLAB®, Maple™, and Mathematica®. Catalog no. K14662, November 2013, 1752 pp. ISBN: 978-1-4665-0728-9, $169.95 / £108.00 Also available as an eBook

New!

Introduction to the Calculus of Variations and Control with Modern Applications John A. Burns Virginia Polytechnic Institute and State University, Blacksburg, USA Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

This book provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. It also presents some classical sufficient conditions and discusses the importance of distinguishing between the necessary and sufficient conditions. By emphasizing the basic ideas and their mathematical development, the book gives you the foundation to use these mathematical tools to then tackle new problems. Catalog no. K16538, August 2013, 562 pp. ISBN: 978-1-4665-7139-6, $99.95 / £63.99 Also available as an eBook

New! New!

Theory and Practice

Asymptotic Analysis and Perturbation Theory

John Petrovic

William Paulsen

Western Michigan University, Kalamazoo, USA

Arkansas State University, USA

Advanced Calculus

Series: Textbooks in Mathematics

This text expands on the material covered in elementary calculus and presents this material in a rigorous manner yet makes the ideas less abstract to students. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. Nearly 300 examples lead to important theorems as well as help students develop the necessary skills to closely examine the theorems. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K16111, October 2013, 572 pp. ISBN: 978-1-4665-6563-0, $99.95 / £63.99 Also available as an eBook

This self-contained text makes the difficult subject of asymptotics easy to comprehend. It immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals. Along the way, the book explores the properties of some important functions in applied mathematics. Assuming no prior knowledge of differential equations, it explains the exact solution of only the simplest differential equations, such as first-order linear and separable equations. A solutions manual is available upon qualifying course adoption

Catalog no. K15029, July 2013, 550 pp. ISBN: 978-1-4665-1511-6, $109.95 / £72.99 Also available as an eBook

Save when you order online at www.crcpress.com

Differential Equations and Nonlinearity New!

Discrete Dynamical Systems and Chaotic Machines Theory and Applications Jacques Bahi and Christophe Guyeux University of Franche-Comte, Belfort Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

Until the authors’ recent research, the practical implementation of the mathematical theory of chaos on finite machines raised several issues. This self-contained book shows how to make finite machines, such as computers, neural networks, and wireless sensor networks, work chaotically as defined in a rigorous mathematical framework. Taking into account that these machines must interact in the real world, the authors share their research results on the behaviors of discrete dynamical systems and their use in computer science. Catalog no. K15321, June 2013, 230 pp. ISBN: 978-1-4665-5450-4, $89.95 / £57.99 Also available as an eBook

New!

Partial Differential Equations Topics in Fourier Analysis M.W. Wong York University, Toronto, Ontario, Canada

This text explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models. It shows how this powerful approach is valuable in getting plausible answers that can then be justified by modern analysis. Through its coverage of fundamental examples of PDEs, the book prepares students for studying more advanced topics such as pseudo-differential operators. It also helps them appreciate PDEs as beautiful structures in analysis, rather than a bunch of isolated ad hoc techniques. Figure slides are available upon qualifying course adoption. Catalog no. K19020, June 2013, 184 pp. ISBN: 978-1-4665-8401-3, $79.95 / £49.99 Also available as an eBook

New!

An Introduction to Partial Differential Equations with MATLAB®

Introduction to Mathematical Modeling and Chaotic Dynamics

Second Edition Matthew P. Coleman Fairfield University, Connecticut, USA Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

Ranjit Kumar Upadhyay Indian School of Mines, Dhanbad, India

Satteluri R. K. Iyengar Gokaraju Rangaraju Institute of Engineering & Technology, Hyderabad, India

Updated throughout, this second edition of a bestseller illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. It shows students how PDEs can model diverse problems, including the flow of heat, the propagation of sound waves, the spread of algae along the ocean’s surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. The text also contains many exercises, including standard ones and graphical problems using MATLAB®. A solutions manual and figure slides are available upon qualifying course adoption.

Suitable for advanced undergraduate and graduate students, this text focuses on mathematical models in natural systems, particularly ecological systems. It provides a practical understanding of how the models are used in current natural science and engineering applications. Most of the models presented are solved using MATLAB®. Along with a variety of exercises and solved examples, the text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses. A solutions manual and figure slides are available upon qualifying course adoption.

Catalog no. K14306, June 2013, 683 pp. ISBN: 978-1-4398-9846-8, $89.95 / £44.99 Also available as an eBook

Catalog no. K14326, July 2013, 363 pp. ISBN: 1-4398-9886-4, $89.95 / £57.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Differential Equations and Nonlinearity New!

Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica Kuzman Adzievski South Carolina State University, Orangeburg, USA

Abul Hasan Siddiqi Sharda University, Greater Noida, India

With a special emphasis on engineering and science applications, this textbook provides a mathematical introduction to PDEs at the undergraduate level. It takes a new approach to PDEs by presenting computation as an integral part of the study of differential equations. The authors use Mathematica® along with graphics to improve understanding and interpretation of concepts. They also present exercises in each chapter and solutions to selected examples. Topics discussed include Laplace and Fourier transforms as well as Sturm-Liouville boundary value problems. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K14786, October 2013, 648 pp. ISBN: 978-1-4665-1056-2, $89.95 / £57.99 Also available as an eBook

Mimetic Discretization Methods José E. Castillo

Boundedness and Stability of Motion Anatoly Martynyuk, Larisa Chernetskaya, and Vladislav Martynyuk Series: Chapman & Hall/CRC Pure and Applied Mathematics

Designed for researchers and graduate students working on systems with a small parameter, this book helps readers get up to date on the knowledge required to start research in this area. It provides a systematic study on the boundedness and stability of weakly connected nonlinear systems, covering theory and applications previously unavailable in book form. The text contains many essential results needed for carrying out research on nonlinear systems of weakly connected equations, including recently developed approaches based on the direct Lyapunov method and the comparison technique. Catalog no. K16508, November 2012, 228 pp. ISBN: 978-1-4665-7086-3, $149.95 / £95.00 Also available as an eBook

Ordinary and Partial Differential Equations Victor Henner Perm State University, Russia, and University of Louisville

San Diego University, California, USA

Guillermo F. Miranda Universidad Central de Venezuela

This book focuses on the recent mimetic discretization method co-developed by the first author. Based on the Castillo-Grone operators, this simple mimetic discretization method is invariably valid for spatial dimensions no greater than three. The book also presents a numerical method for obtaining corresponding discrete operators that mimic the continuum differential and flux-integral operators, enabling the same order of accuracy in the interior as well as the domain boundary. Problems and the authors’ mimetic methods toolkit (MTK) are available online. Catalog no. K14955, January 2013, 260 pp. ISBN: 978-1-4665-1343-3, $119.95 / £76.99 Also available as an eBook

Weakly Connected Nonlinear Systems

Tatyana Belozerova Perm State University, Russia

Mikhail Khenner Western Kentucky University, Bowling Green, USA

"… The authors have managed to provide the right amount of details and have outlined the text in such a way that all material needed to solve the PDEs discussed in Part II can be referenced within the text. This, in my opinion, is the main strength of the book. … could be used successfully for a series of differential equations courses that covered both ODEs and PDEs … This text finds a nice balance between general topics of ODEs and second-order PDEs." —Joe Latulippe, MAA Reviews, June 2013

Catalog no. K15023, January 2013, 644 pp. ISBN: 978-1-4665-1500-0, $89.95 / £54.95 Also available as an eBook

Save when you order online at www.crcpress.com

Differential Equations and Nonlinearity Nonlinear Optimal Control Theory Leonard D. Berkovitz Purdue University, West Lafayette, Indiana, USA

Negash G. Medhin North Carolina State University, Raleigh, USA Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

“This book provides a thorough introduction to optimal control theory for nonlinear systems. … The book is enhanced by the inclusion of many examples, which are analyzed in detail using Pontryagin’s principle. … An important feature of the book is its systematic use of a relaxed control formulation of optimal control problems. …” —From the Foreword by Wendell Fleming

Catalog no. K15884, August 2012, 392 pp. ISBN: 978-1-4665-6026-0, $99.95 / £63.99 Also available as an eBook

Encounters with Chaos and Fractals Second Edition Denny Gulick University of Maryland, College Park, USA

Revised and updated, this second edition provides an accessible introduction to both chaotic dynamics and fractal geometry for readers with a calculus background. This edition contains new and expanded material on fractals that illustrates how to obtain computer renderings of them and covers Julia and Mandelbrot sets. It also includes a substantial number of new exercises at the end of each section and MATLAB® programs in the appendix, with selected solutions at the back of the book. Catalog no. C5173, April 2012, 387 pp. ISBN: 978-1-58488-517-7, $79.95 / £49.99 Also available as an eBook

Higher Order Derivatives Satya N. Mukhopadhyay University Teachers Co-op, Burdwan, India Series: Monographs and Surveys in Pure and Applied Mathematics

"This book introduces the reader to the present state of knowledge of the most known concepts of higher derivatives. … Many results are due to the authors. … The book will be welcomed by mathematicians interested in the field of higher-order derivatives and their applications." —Sorin Gheorqhe Gal, Mathematical Reviews, January 2013

Catalog no. K13783, January 2012, 220 pp. ISBN: 978-1-4398-8047-0, $99.95 / £63.99 Also available as an eBook

Handbook of Nonlinear Partial Differential Equations Second Edition Andrei D. Polyanin Russian Academy of Sciences, Moscow

Valentin F. Zaitsev Russian State Pedagogical University, St. Petersburg

With more than 1,000 pages of new material, the second edition of this popular handbook includes over 3,000 nonlinear PDEs with solutions. It contains over 1,500 new first-, second-, third-, fourth-, and higherorder nonlinear equations with solutions. This edition also presents symbolic and numerical methods for solving nonlinear PDEs with Maple™, Mathematica®, and MATLAB®. The book provides a database of test problems, offers many new illustrative examples and tables, and includes a large list of references consisting of over 1,300 sources. Catalog no. C8723, December 2011, 1912 pp. ISBN: 978-1-4200-8723-9, $157.95 / £101.00 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Differential Equations and Nonlinearity Uncertain Dynamical Systems

Differential Equations with Maxima

Stability and Motion Control

Drumi D. Bainov Medical University, Sofia, Bulgaria

A.A. Martynyuk

Snezhana G. Hristova

Institute of Mechanics, Kiev, Ukraine

Plovdiv University, Bulgaria

Yu. A. MartynyukChernienko Series: Chapman & Hall/CRC Pure and Applied Mathematics, Vol. 302

"This book contains very interesting and advanced material on the application of various forms of Lyapunov functions for tackling a myriad of problems in differential equations. … it is very rich in both theory and applications and is recommended to all major libraries. It is also recommended to researchers and teachers of differential equations … ." —Yawvi A. Fiagbedzi, Mathematical Reviews, May 2013

Catalog no. K13571, November 2011, 310 pp. ISBN: 978-1-4398-7685-5, $125.95 / £79.99 Also available as an eBook

Series: Chapman & Hall/CRC Pure and Applied Mathematics, Vol. 298

Differential equations with maxima—differential equations that contain the maximum of the unknown function over a previous interval—adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. This book guides readers toward further investigations and applications of these equations for a more accurate study of real-world problems. It explains how to find solutions to initial value and boundary value problems as well as how to study stability and oscillatory properties of solutions. It also presents a systematic development of the averaging method. Figure slides are available upon qualifying course adoption. Catalog no. K13055, April 2011, c. 312 pp. ISBN: 978-1-4398-6757-0, $104.95 / £66.99 Also available as an eBook

Form Symmetries and Reduction of Order in Difference Equations

Stable Solutions of Elliptic Partial Differential Equations

Hassan Sedaghat

University Picardie Jules, Amiens, France

Virginia Commonwealth University, Richmond, USA

With numerous examples and exercises, this book presents a new approach to the formulation and analysis of difference equations in which the underlying space is typically an algebraic group. It uses form symmetries to define semiconjugate factorizations of recursive higher order difference equations and general nonrecursive higher order difference equations. In some problems and applications, an additional algebraic or topological structure is assumed in order to define equations and obtain significant results about them. Reflecting the author’s past research experience, the majority of examples involve equations in finite dimensional Euclidean spaces. Figure slides are available upon qualifying course adoption. Catalog no. K10389, May 2011, 325 pp. ISBN: 978-1-4398-0760-6, $139.95 / £89.00 Also available as an eBook

Louis Dupaigne

Series: Monographs and Surveys in Pure and Applied Mathematics, Vol. 143

“… the author has put every effort into giving complete details of the computations. … the self-contained one hundred-page long appendices provide a splendid resource for the reader. The material contained there has been chosen with particular good taste and constitutes in itself a valuable source of information. Remarks and further features … are presented in an ‘exercise’ format. I have found many of them suitably posed and reasonable to work at the level of the book.” —José C. Sabina de Lis, Mathematical Reviews, 2012

Catalog no. C6654, March 2011, 335 pp. ISBN: 978-1-4200-6654-8, $93.95 / £59.99 Also available as an eBook

Save when you order online at www.crcpress.com

Differential Equations and Nonlinearity Fourier Series in Several Variables with Applications to Partial Differential Equations Victor L. Shapiro University of California, Riverside, USA Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

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 NavierStokes equations, nonlinear reaction-diffusion systems, and quasilinear elliptic PDEs and resonance theory. He also establishes the connection between multiple Fourier series and number theory, presents the periodic Cα-theory of Calderon and Zygmund, and explores the extension of Fatou’s famous work on antiderivatives and nontangential limits to higher dimensions. The importance of surface spherical harmonic functions is emphasized throughout.

Elements of Differential Topology Anant R. Shastri Indian Institute of Technology, Bombay

“… altogether a solid introduction to serious themes likely to persuade the reader to go deeper into the subject. Shastri’s exposition is rigorous at the same time that it evinces a light touch, and this of course makes for a very readable book. Examples abound, proofs are done in detail and include discussion along the lines of what one might hear in a good lecture presentation, and there are exercises replete with hints or solutions. Pedagogically, [the book] clearly gets very high marks. It is a good and useful textbook.” —MAA Reviews, July 2011

Catalog no. K11533, March 2011, 319 pp. ISBN: 978-1-4398-3160-1, $93.95 / £59.99 Also available as an eBook

Catalog no. K12514, March 2011, 352 pp. ISBN: 978-1-4398-5427-3, $104.95 / £66.99 Also available as an eBook

Green’s Functions and Linear Differential Equations

Forthcoming!

Theory, Applications, and Computation

Second Edition

Prem K. Kythe University of New Orleans, Louisiana, USA Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

This self-contained text provides a sufficient theoretical basis to understand Green’s function method, which is used to solve initial and boundary value problems involving linear ODEs and PDEs. It presents a variety of approaches, including classical and general variations of parameters, Wronskian method, Bernoulli’s separation method, integral transform method, method of images, conformal mapping method, and interpolation method. The text also covers applications of Green’s functions and contains numerous examples and exercises from diverse areas of mathematics, applied science, and engineering.

Stochastic Partial Differential Equations Pao-Liu Chow Wayne State University, Detroit, Michigan, USA Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

This book takes a practical approach to the subject, starting with concrete problems and leading to general theory. Suitable for a graduate-level course on stochastic PDEs, this edition adds material on new developments in jump processes. Along with more problems and examples, it also includes additional applications related to finance, engineering, and biology as well as a new chapter dedicated to current topics, such as the stochastic Cahn-Hillard equation. Catalog no. K16851, April 2014, 350 pp. ISBN: 978-1-4665-7955-2, $99.95 / £53.99

Catalog no. K11855, January 2011, 382 pp. ISBN: 978-1-4398-4008-5, $125.95 / £79.99

For more information and complete contents, visit www.crcpress.com

Differential Equations and Nonlinearity Forthcoming! Forthcoming!

Homogenization Applications to the Biological and Physical Sciences

A Basic Course in Real Analysis Ajit Kumar Institute of Chemical Technology, Mumbai, India

S. Kumaresan

Robert P. Gilbert and Alexander Panchenko

School of Mathematics and Statistics, University of Hyderabad, India

Homogenization: Applications to the Biological and Physical Sciences provides a comprehensive introduction to this powerful tool of analysis. The book presents the theoretical foundations of homogenization, a modeling procedure used to describe processes in complicated structures with known microstructures. Building on this theory, the authors explore various types of application problems, including flow in porous media, sound propagation in fluid saturated solids, acoustics of granular material, computational multiscale finite element methods, and interfaces in viscoelastic materials. The book also discusses results in which G-limits have different structures from the initial operators.

Based on the authors more than 50 years of experience teaching, this book makes a very serious and committed attempt to initiate the students to the aspects of real analysis in a friendly way. The author offers insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples, trying to understand the underlying principles and coming up with guesses or conjectures and hence proving it rigorously based on his explorations. A solutions manual and figure slides are available upon qualifying course adoption.

Catalog no. C7915, May 2014, 352 pp. ISBN: 978-1-58488-791-1, $99.95 / £63.99 Also available as an eBook

Catalog no. K22053, January 2014, 322 pp. ISBN: 978-1-4822-1637-0, $89.95 / £57.99 Also available as an eBook

Forthcoming!

Applied Differential Equations

Forthcoming!

An Introduction Vladimir A. Dobrushkin Brown University, Providence, Rhode Island, USA

Fixed Point Theory, Variational Analysis, and Optimization

Series: Textbooks in Mathematics

Edited by

This text provides comprehensive exposition of main methods used in differential equations for both introductory and advanced courses. It includes many applications and examples relevant to students in engineering, economics, sciences, and biology. Exercises ranging from simple to challenging are provided for within the text. Software covered includes Mathematica, Maple™, MATLAB®, and noncommercial packages freely available on the internet. Detailed descriptions of theoretical treatments are given, and solutions with step-by-step instructions are provided to the problems and questions. The author’s website contains supplementary material to extend learning. A solutions manual and figure slides are available upon qualifying course adoption.

Saleh Abdullah R. Al-Mezel, Falleh Rajallah M. Al-Solamy, and Qamrul Hasan Ansari

Catalog no. K12330, January 2014, 704 pp. ISBN: 978-1-4398-5104-3, $99.95 / £49.99 Also available as an eBook

This book provides the basic theory of directional derivatives and monotonicity required for the understanding of the theory of variational inequality problems. It is divided in to three parts: (i) Fixed Point Theory (ii) Variational Inequalities (iii) Vector Optimization. People working in the area of nonlinear analysis, optimization theory, variational inequalities and mathematical economics would benefit from this book. It can also be used as a text book for postgraduates involved in nonlinear analysis and optimization. Catalog no. K22268, March 2014, 340 pp. ISBN: 978-1-4822-2207-4, $129.95 / £82.00 Also available as an eBook

Save when you order online at www.crcpress.com

Mathematics for Finance New!

New!

Risk Management and Simulation

Nonlinear Option Pricing

Aparna Gupta Rensselaer Polytechnic Institute, Troy, New York, USA

"... a unique and wonderful combination of risk management and financial simulation concepts that will set the reader on a strong footing for a rewarding career in risk management. … Gupta offers an accessible book on an increasingly important topic. Her explanation of the complex models and computational techniques is well thought out and well-motivated, which should make reading the material both inviting and appealing." —From the Foreword by Emmanuel (Manos) D. Hatzakis, Ph.D., CFA, FRM, Risk, Structuring, and Analytics Expert, UBS

Catalog no. K11622, June 2013, 523 pp. ISBN: 978-1-4398-3594-4, $99.95 / £63.99 Also available as an eBook

New!

Quantitative Finance An Object-Oriented Approach in C++ Erik Schlogl

Julien Guyon Pierre Henry-Labordere Chapman & Hall/CRC Financial Mathematics Series

Collecting many methods that have previously been scattered in the literature, this book presents advanced techniques for solving highdimensional nonlinear problems. Designed for practitioners, it is one of the first books to discuss nonlinear Black-Scholes partial differential equations (PDEs). The authors explain regression and dual methods for American and chooser options, the Monte Carlo approach for pricing the uncertain volatility model and the uncertain lapse and mortality model, the particle method to calibrate local stochastic volatility models and local correlation models to market smiles, and stochastic representations based on marked branching diffusions. Catalog no. K16480, December 2013, 447 pp. ISBN: 978-1-4665-7033-7, $79.95 / £49.99

New!

Introduction to Risk Parity and Budgeting Thierry Roncalli

University of Technology, Sydney, Australia

Lyxor Asset Management, Paris, France

Chapman & Hall/CRC Financial Mathematics Series

"… The three core competencies of a successful quant: firm grasp of theory, strong command of numerical methods, and software design and development skills are taught in parallel, inseparable in the book as they are in the real world. A fantastic resource for students looking to become quants, the book sets a standard on how practically relevant quantitative finance should be taught. Those already in the field will also no doubt learn a thing or two on how to represent common financial constructs as logical and reusable software components."

"Roncalli has written an excellent and balanced exposition of the risk parity approach to investing. This is very valuable reading for quant analysts and for technically oriented porfolio managers and asset allocators interested in this hot topic. The book covers everything from basic mechanics to advanced techniques and from the broad context of risk parity as one way to solve the general portfolio construction problem to detailed practical investment examples within and across asset classes."

—Vladimir V. Piterbarg, Head of Quantitative Analytics, Barclays

Catalog no. C4797, December 2013, 354 pp. ISBN: 978-1-58488-479-8, $79.95 / £49.99 Also available as an eBook

—Antti Ilmanen, Managing Director, AQR Capital Management

Catalog no. K21545, July 2013, 440 pp. ISBN: 978-1-4822-0715-6, $79.95 / £49.99

For more information and complete contents, visit www.crcpress.com

Mathematics for Finance Quantitative Operational Risk Models Catalina Bolancé, Montserrat Guillén, Jim Gustafsson, and Jens Perch Nielsen "… a very useful addition to the literature on Operational Financial Risk and I would recommend it to practitioners." —Alan Penman, Annals of Actuarial Science, Vol. 7, March 2013

This book offers a practical perspective that combines statistical analysis and management orientations. It covers the statistical theory prerequisites and summarizes important contributions made in the past decade. The authors explain how to implement the new density estimation methods for analyzing the loss distribution in operational risk for banks and insurance companies. They also include SAS and R routines to implement all of the procedures discussed in the text.

The Fundamental Rules of Risk Management Nigel Da Costa Lewis Requiring no statistical or mathematical background, this work shows how the rules of risk can work to protect and enhance investor value. It explains why "unreason" is the more evil twin brother of greed, describes what leads people to make disastrous investment decisions, and illustrates how high intelligence can trick you into catastrophic losses. With exercises and references at the end of each chapter, the book also presents notable lessons learned to keep your investments safe. Catalog no. K10832, May 2012, 240 pp. ISBN: 978-1-4398-1618-9, $69.95 / £44.99

Catalog no. K14258, February 2012, 236 pp. ISBN: 978-1-4398-9592-4, $79.95 / £44.99 Also available as an eBook

Computational Methods in Finance

New!

Caspian Capital Management, LLC, New York, USA

Monte Carlo Simulation with Applications to Finance

Chapman & Hall/CRC Financial Mathematics Series

Brown University, Providence, Rhode Island, USA

Ali Hirsa

"… there are several sections on topics that are rarely treated in textbooks: saddle point approximations, numerical solution of PIDEs, and others. There is also extensive material on model calibration, including interest rate models and filtering approaches. The book is a very comprehensive and useful reference for anyone, even with limited mathematical background, who wishes to quickly understand techniques from computational finance." —Stefan Gerhold, Zentralblatt MATH 1260

Catalog no. K11454, September 2012, 444 pp. ISBN: 978-1-4398-2957-8, $89.95 / £59.99 Also available as an eBook

Hui Wang

Chapman & Hall/CRC Financial Mathematics Series

Developed from the author’s course on Monte Carlo simulation at Brown University, this text provides a self-contained introduction to Monte Carlo methods in financial engineering. It covers common variance reduction techniques, the cross-entropy method, and the simulation of diffusion process models. Requiring minimal background in mathematics and finance, the book includes numerous examples of option pricing, risk analysis, and sensitivity analysis as well as many hand-and-paper and MATLAB® coding exercises at the end of every chapter. Figure slides are available upon qualifying course adoption. Catalog no. K12713, May 2012, 292 pp. ISBN: 978-1-4398-5824-0, $79.95 / £49.99 Also available as an eBook

Save when you order online at www.crcpress.com

Mathematics for Finance An Introduction to Exotic Option Pricing Peter Buchen University of Sydney, Australia Chapman & Hall/CRC Financial Mathematics Series

“… presents an entertaining and captivating course in option pricing, aiming to derive closed form analytical formulas for the prices of exotic options in an elegant way, provided such a formula exists. Thanks to the machinery developed by the author and his work group, pricing formulas for even the most complex exotic options are obtained from elementary pricing formulas using elegant arguments and simple algebraic manipulations, i.e. without lengthy integrations. … a very valuable treatise on exotic option pricing in a BlackScholes economy.” —Tamás Mátrai, Zentralblatt MATH 1242

Catalog no. C9100, February 2012, 296 pp., ISBN: 978-1-4200-9100-7, $79.95 / £49.99 Also available as an eBook

Option Valuation A First Course n Financial Mathematics Hugo D. Junghenn The George Washington University, Washington, D.C., USA Chapman & Hall/CRC Financial Mathematics Series

“The text provides an introduction to classical material of mathematical finance, i.e. the notions of arbitrage, replication, and option pricing in the context of the discrete-time Cox-Ross-Rubinstein and the continuous-time Black-Scholes model, respectively. The book sticks out by not assuming any background in stochastics. All necessary concepts of probability theory, martingales, and Itô calculus are provided …” —Jan Kallsen, Zentralblatt MATH 1247

Catalog no. K14090, November 2011, 266 pp. ISBN: 978-1-4398-8911-4, $59.95 / £38.99 Also available as an eBook

Risk Monetization Converting Threats and Opportunities into Impact on Project Value Glenn R. Koller Suitable for readers in any organization or area of expertise, this practical book addresses the organizational, political, cultural, and technical issues related to implementing a successful risk assessment, management, and monetization process. It gives examples of risk-monetization techniques applied in a variety of settings and discusses the typical risk situation for most projects and the shortcomings of conventional processes. It also describes how risk identification, assessment, management, and monetization processes are set up in an ideal environment as well as in imperfect situations. Catalog no. K10960, October 2011, 328 pp. SBN: 978-1-4398-1829-9, $72.95 / £44.99 Also available as an eBook

Risk Analysis in Finance and Insurance Second Edition Alexander Melnikov University of Alberta, Edmonton, Canada Chapman & Hall/CRC Financial Mathematics Series

Reorganized and expanded, this updated book introduces the main ideas, techniques, and stochastic models of financial mathematics. It focuses on the foundations and key concepts of the modern methodology of quantitative financial analysis, 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. A solutions manual is available upon qualifying course adoption. Catalog no. C0525, April 2011, 328 pp. SBN: 978-1-4200-7052-1, $89.95 / £57.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Mathematics for Finance Stochastic Finance

Forthcoming!

A Numeraire Approach Jan Vecer Columbia University, New York, New York, USA Chapman & Hall/CRC Financial Mathematics Series

“… this book can be regarded as a wonderful application of stochastic analysis, as it includes not only detailed theoretical proofs but also practical illustrative examples. With the systematic and feasible numeraire techniques, the book can serve as an everyday reference book for practitioners, but also as a powerful tool to deal with pricing and hedging for complicated financial assets. Most importantly, the representation of prices as a pairwise relationship of two assets is the most novel characteristic of this book, which could lead to deeper understanding of derivative contracts.” —Jian Ping Wan, Mathematical Reviews, 2012f

Catalog no. K10632, January 2011, 342 pp. ISBN: 978-1-4398-1250-1, $72.95 / £46.99 Also available as an eBook

Advanced Counterparty Risk Modeling, Valuation and Hedging Stéphane Crépey, Tomasz R. Bielecki, and Damiano Brigo Chapman & Hall/CRC Financial Mathematics Series

The importance of proper assessment and management of counterparty risk became apparent during the recent financial crisis. This book provides a theoretically sound presentation of advanced mathematical modeling methods for the valuation and hedging of counterparty risk. It shows how the methods are applied to manage counterparty risk relative to several important asset classes. The book also addresses the current institutional trends in handling counterparty and systemic risks. Catalog no. K15071, April 2014, c. 300 pp. ISBN: 978-1-4665-1645-8, $89.95 / £57.99 Also available as an eBook

Forthcoming!

Financial Mathematics

Quantitative Finance

A Comprehensive Treatment Giuseppe Campolieti and Roman Makarov Wilfrid Laurier University, Waterloo, Ontario, Canada Chapman & Hall/CRC Financial Mathematics Series

This text offers a comprehensive, self-contained, and unified treatment of the theory and application of mathematical methods behind modern-day financial mathematics. It introduces the financial theory and the relevant mathematical methods in a mathematically rigorous yet student-friendly and engaging style. The text provides complete and in-depth coverage of both discrete- and continuous-time financial models and pricing theory. It also includes numerous examples, exercises, fully worked out solutions, and multiple problem-solving approaches. A solutions manual and figure slides are available upon qualifying course adoption.

A Simulation-Based Introduction Using Excel Matt Davison Providing readers with more quantitative insight into markets and a better overview of market structures, this book explains how the mathematical objects of finance relate to the business needs of markets. It takes a simulation approach to financial market problems, which allows readers to understand concepts without becoming bogged down by excessive equations. Each section describes the relevant financial or mathematical theory, an application of the theory in practice, and a spreadsheet to illustrate it. The text also includes a set of exercises, ranging from simple to complex. A solutions and figure slides are available upon qualifying course adoption. Catalog no. K13284, March 2014, 356 pp. ISBN: 978-1-4398-7168-3, $79.95 / £49.99

Catalog no. K14142, February 2014, 802 pp. ISBN: 978-1-4398-9242-8, $89.95 / £57.99 Also available as an eBook

Save when you order online at www.crcpress.com

Probability and Operations Research New!

Applying Analytics A Practical Introduction Evan S. Levine Analytics Professional, New York, New York, USA

Covering the technical and professional skills needed by analysts in the academic, private, and public sectors, this text systematically teaches novices how to apply algorithms to real data and how to recognize potential pitfalls. It concentrates on the interpretation, strengths, and weaknesses of analytical techniques, along with challenges encountered by analysts in their daily work. The author also shares various lessons learned from applying analytics in the real world. Example data sets used in the text are available for download online so that readers can test their own analytic routines. Catalog no. K15456, June 2013, 290 pp. ISBN: 978-1-4665-5718-5, $69.95 / £44.99 Also available as an eBook

New!

Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization Qamrul Hasan Ansari, C. S. Lalitha, and Monika Mehta Until now, no book addressed convexity, monotonicity, and variational inequalities together. This book covers all three topics, including new variational inequality problems defined by a bifunction. It deepens your understanding of various classes of problems, such as systems of nonlinear equations, optimization problems, complementarity problems, and fixed-point problems. The first part of the book focuses on generalized convexity and generalized monotonicity. The second part offers insight into variational inequalities and optimization problems in smooth as well as nonsmooth settings. Catalog no. K13101, July 2013, 296 pp. ISBN: 978-1-4398-6820-1, $99.95 / £63.99 Also available as an eBook

New!

Fuzzy Multiple Objective Decision Making

Applied Stochastic Processes

Gwo-Hshiung Tzeng

Auburn University, Alabama, USA

Kainan University, Taoyuan, Taiwan

This text presents a concise, graduate-level treatment of the subject, emphasizing applications and practical computation. It also establishes the complete mathematical theory in an accessible way. After reviewing basic probability, the text covers Poisson processes, renewal processes, discrete- and continuous-time Markov chains, and Brownian motion. It also offers an introduction to stochastic differential equations. While the main applications described are queues, the book also considers other examples, such as the mathematical model of a single stock market. A solutions manual and figure slides are available upon qualifying course adoption.

Jih-Jeng Huang SooChow University, Taipei, Taiwan

Focusing on the methodologies and applications of the field, this book presents mathematical tools for complex decision making. The first part of the book introduces the most popular methods used to calculate the solution of MOP in the field of MODM. The authors describe multi-objective evolutionary algorithms; expand de novo programming to changeable spaces, such as decision and objective spaces; and cover network data envelopment analysis. The second part focuses on various applications, giving readers a practical, in-depth understanding of MODM. Catalog no. K15327, August 2013, 322 pp. ISBN: 978-1-4665-5461-0, $129.95 / £82.00 Also available as an eBook

Ming Liao

Catalog no. K20401, July 2013, 208 pp. ISBN: 978-1-4665-8933-9, $79.95 / £49.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Probability and Operations Research Business Process Modeling, Simulation and Design Second Edition

Networks and Systems Frank Beichelt University of Witwatersrand, Johannesburg, South Africa

Manuel Laguna University of Colorado, Boulder, USA

Peter Tittmann University of Applied Sciences Mittweida, Germany

Johan Marklund Lund University, Sweden

Developed from the authors’ many years of teaching process design and simulation courses, this text provides students with a thorough understanding of numerous analytical tools that can be used to model, analyze, design, manage, and improve business processes. It presents the tools to design effective business processes and the management techniques to operate them efficiently. This edition includes an introduction to simulation, a chapter on business process analytics, and three completely revised chapters that incorporate ExtendSim 8. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K13989, April 2013, 523 pp. ISBN: 978-1-4398-8525-3, $99.95 / £63.99 Also available as an eBook

Probability and Stochastic Modeling Vladimir I. Rotar

This work gives an up-to-date presentation of system and network reliability analysis as well as maintenance planning with a focus on applicable models. Balancing theory and practice, it presents state-of-theart research in key areas of reliability and maintenance theory and includes numerous examples and exercises. The book focuses on three key interconnected aspects of reliability theory: binary systems, network reliability, and maintenance models. Every chapter starts with theoretical foundations and basic models and leads to more sophisticated models and ongoing research. Catalog no. K11269, May 2012, 344 pp. ISBN: 978-1-4398-2635-5, $99.95 / £63.99 Also available as an eBook

Agents, Games, and Evolution Strategies at Work and Play Steven Orla Kimbrough

San Diego State University, California, USA

This book not only covers all the topics found in a traditional introductory probability course, but also emphasizes stochastic modeling, including Markov chains, birth-death processes, and reliability models. Unlike most undergraduate-level probability texts, the book also focuses on increasingly important areas, such as martingales, classification of dependency structures, and risk evaluation. Numerous examples, exercises, and models using real-world data demonstrate the practical possibilities and restrictions of different approaches and help students grasp general concepts and theoretical results. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K13311, August 2012, 508 pp. ISBN: 978-1-4398-7206-2, $79.95 / £49.99 Also available as an eBook

Reliability and Maintenance

The Wharton School, University of Pennsylvania, Philadelphia, USA

Based on the author’s course at the University of Pennsylvania, this book explores a number of basic games using agent-based models where agents have fixed strategies. The author uses agent-based models to present a wide range of applications in which strategic interaction is present and for which design issues have genuine practical import. The text covers such games as the Prisoner’s Dilemma, Stag Hunt, Battle of the Sexes, and many other games of interest in the social sciences. All computational methods are implemented in NetLogo and the required mathematical background is included in an appendix. Catalog no. K11564, December 2011, 512 pp. ISBN: 978-1-4398-3470-1, $83.95 / £52.99 Also available as an eBook

Save when you order online at www.crcpress.com

Probability and Operations Research Applied Operational Research with SAS

Value-Added Decision Making for Managers

Ali Emrouznejad and William Ho

Kenneth Chelst

Aston Business School, Birmingham, UK

Using a wide range of OR optimization examples, this book demonstrates how the OR procedures in SAS work. The text is one of the first to extensively cover the application of SAS procedures to OR problems, such as single criterion optimization, project management decisions, printed circuit board assembly, and multiple criteria decision making. The authors present the principles behind PROC OPTMODEL and other SAS procedures as well as describe the algorithms and methods for linear programming, integer linear programming, and goal programming models. Catalog no. K11920, December 2011, 284 pp. ISBN: 978-1-4398-4130-3, $93.95 / £59.99 Also available as an eBook

Wayne State University, Detroit, Michigan, USA

Yavuz Burak Canbolat Abbott Laboratories, Abbott Park, Illinois, USA

Developed from the authors’ longstanding course on decision and risk analysis, this text explores the important interaction between decisions and management action and clarifies the barriers to rational decision making. The authors analyze strengths and weaknesses of the best alternatives, enabling decision makers to improve on these alternatives by adding value and reducing risk. They also discuss bias, negotiations, project/risk management, and ethical dilemmas. Numerous examples highlight real-world situations from everyday life, public policy, and industry. Software tutorials and other material are available on the book’s website. Figure slides are available upon qualifying course adoption. Catalog no. C7572, October 2011, 578 pp. ISBN: 978-1-4200-7572-4, $139.95 / £89.00 Also available as an eBook

Optimality Conditions in Convex Optimization A Finite-Dimensional View Anulekha Dhara Indian Institute of Technology, Kanpur

Joydeep Dutta Indian Institute of Technology, Kanpur

"… discusses a number of major approaches to the subject, bringing together many results from the past thirty-five years into one handy volume. … Researchers in variational analysis should find this book to be a useful reference; for those new to convex optimization, it provides a very accessible entry point to the field. I have begun recommending it to graduate students who would like to learn about convex subdifferential calculus. … a valuable book, a most welcome addition to the optimization theory literature." —Doug Ward, Mathematical Reviews, January 2013

Catalog no. K13102, October 2011, 444 pp. ISBN: 978-1-4398-6822-5, $93.95 / £66.99 Also available as an eBook

Rough Multiple Objective Decision Making Jiuping Xu Sichuan University, Chengdu, China

Zhimiao Tao Sichuan University, Chengdu, China

This book applies rough set theory and rough approximation technique to real-world multiple objective decision making (MODM) problems. The authors present several techniques in rough approximation and apply them to case studies in engineering, such as particle swarms and transportation. Progressing from theory to application, the text covers rough set theory, probability theory, and fuzzy set theory; multiple objective rough decision making, bi-level, multiple objective rough decision making, stochastic multiple objective rough decision making, and fuzzy multiple objective rough decision making; and the simulatedbased intelligent algorithm. Catalog no. K13329, July 2011, 446 pp. ISBN: 978-1-4398-7235-2, $125.95 / £79.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Probability and Operations Research Multiple Attribute Decision Making

Forthcoming!

Introduction to Numerical Methods and Optimization

Methods and Applications Gwo-Hshiung Tzeng Kainan University, Luchu, Taiwan

Jih-Jeng Huang Soochow University, Taipei, Taiwan

A compilation of modern decision-making techniques, this reference focuses on the fuzzy set approach to multiple attribute decision making (MADM). Drawing on their extensive experience, the authors present methods and real-life applications of MADM techniques that can be used in decision analysis. The methods section of the text explains the theory of each method and includes numerical examples that can be calculated without a computer, providing a complete understanding of the procedures. The application section explores how methods such as DEMATEL, TOPSIS, and VIKOR can be used to solve real-world MADM problems. Catalog no. K12846, June 2011, 349 pp. ISBN: 978-1-4398-6157-8, $139.95 / £89.00 Also available as an eBook

Forthcoming!

Linear Programming with Duals A Modern Exposition Craig A. Tovey Georgia Institute of Technology, Atlanta, USA

This textbook presents a theoretical treatment of linear programming, network flows and applications, integer programming, and computational complexity. The author includes a rigorous discussion of theory, numerous examples and exercises, and geometric intuitive explanations. He also offers computational tips and interpretation of software input. Unlike other books, this text incorporates duality throughout its chapters, rather than treating it as an add-on topic. It also discusses computational complexity theory, which can be used to classify problems according to the appropriate solution method. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K14044, March 2014, 480 pp. ISBN: 978-1-4398-8746-2, $99.95 / £63.99

Sergiy Butenko and Panos M. Pardalos Based on the authors' experience teaching introductory numerical methods and optimization courses, this book covers numerical methods for Industrial and Systems Engineering and Operations Research. It combines the materials from introductory numerical methods and introductory optimization courses into a single text, which, on the one hand, enriches a "standard" numerical methods syllabus with optional chapters on numerical optimization, and, on the other hand, provides a valuable numerical methods background for students taking an introductory optimization course. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K16806, March 2014, 416 pp. ISBN: 978-1-4665-7777-0, $79.95 / £49.99 Also available as an eBook

Forthcoming!

Iterative Optimization in Inverse Problems Charles L. Byrne This book covers iterative optimization methods that stems from inverse problems and related issues. The author presents the theoretical side of inverse methods and as a result ignores discrete problems, stochastic methods, and combinatorial optimization. The coverage moves from an introduction of auxiliary function methods to a discussion of several examples of auxiliary fixed (AF) point methods in optimization to consideration of related topics such as operator fixed point methods. Catalog no. K22280, January 2014, 304 pp. ISBN: 978-1-4822-2233-3, $99.95 / £63.99 Also available as an eBook

Forthcoming!

Introduction to Stochastic Calculus with Applications Gregory F. Lawler University of Chicago, Illinois, USA

Catalog no. K16504, June 2014, 250 pp. ISBN: 978-1-4665-7080-1, $59.95 / £38.99 Also available as an eBook

Save when you order online at www.crcpress.com

Math for Engineering New!

Computational Methods for Data Evaluation and Assimilation

Radar Systems Analysis and Design Using MATLAB

Dan G. Cacuci, Ionel Michael Navon, and Mihaela Ionescu-Bujor

Bassem R. Mahafza

This self-contained book presents interdisciplinary methods for integrating experimental and computational information in many scientific and engineering areas. It explains how to estimate covariances and confidence intervals from experimental data. It then describes algorithms for both unconstrained and constrained minimization of large-scale systems, such as time-dependent variational data assimilation in weather prediction. The book also discusses several basic principles of fourdimensional variational assimilation (4D VAR) and highlights specific difficulties in applying 4D VAR to large-scale operational numerical weather prediction models. Catalog no. C7354, August 2013, 373 pp. ISBN: 978-1-58488-735-5, $99.95 / £63.99 Also available as an eBook

New!

Mathematical Morphology in Geomorphology and GISci Behara Seshadri Daya Sagar Indian Statistical Institute, Bangalore

"Since the initial birthing of computational geography and GIS over fifty years ago, the field of geography has been evolving with many contributions from both the academic and research side as well as the application world. … This text further extends our understanding of GIScience—how fundamental quantitative approaches can extend how we understand geography and our world." —Jack Dangermond, President, Esri

"… the numerous examples will allow engineers and researchers in structural geology to exercise their creative faculties and to find new formulations of their own problems." —From the Foreword by Jean Serra, Université Paris-Est

Third Edition deciBel Research Inc., Huntsville, Alabama, USA

Incorporating feedback from professors and practicing engineers, the third edition of this bestselling text reflects the state of the art in the field and restructures the material to be more convenient for course use. Reorganized, expanded, and updated, it includes several new topics and many new end-of-chapter problems. This edition also takes advantage of the new features in the latest version of MATLAB®, with updated MATLAB code available for download on the book’s CRC Press web page. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K13984, May 2013, 772 pp. ISBN: 978-1-4398-8495-9, $129.95 / £82.00 Also available as an eBook

Divided Spheres Geodesics and the Orderly Subdivision of the Sphere Edward S. Popko "The text is written for designers, architects and people interesting in constructions of domes based on spherical subdivision. The book is illustrated with many figures and sketches and examples of real-life usage of the constructions developed during (roughly) the past 60 years. Overall, the book is written in a way accessible to a non-expert in mathematics and geometry. … The book could certainly be a good source for inspiration, with many applications, mostly in architecture and other related areas." —Pavel Chalmoviansky, Mathematical Reviews, May 2013

Catalog no. K14517, July 2012, 532 pp. ISBN: 978-1-4665-0429-5, $69.95 / £44.99 Also available as an eBook

Catalog no. K13306, May 2013, 546 pp. ISBN: 978-1-4398-7200-0, $99.95 / £67.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Math for Engineering A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering H.T. Banks North Carolina State University, Raleigh, USA

"The book under review has the valuable advantage of being of interest to both mathematicians and engineers. … appropriate tools are carefully introduced and discussed in detail, and they are readily applied to practical situations related to the models derived from the generic examples. The main thrust of the book consists of those parts and topics of functional analysis that are fundamental to rigorous discussions of practical differential equations and delay systems as they arise in diverse applications and in particular in control and estimation." —Larbi Berrahmoune, Mathematical Reviews, May 2013

Optimal Estimation of Dynamic Systems Second Edition John L. Crassidis State University of New YorkBuffalo, USA

John L. Junkins Texas A&M University, College Station, USA Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

An ideal self-study guide for practicing engineers as well as senior undergraduate and beginning graduate students, this book highlights the importance of both physical and numerical modeling in solving dynamicsbased estimation problems found in engineering systems, such as spacecraft attitude determination, GPS navigation, orbit determination, and aircraft tracking. With more than 100 pages of new material, this reorganized and expanded edition incorporates new theoretical results, a new chapter on advanced sequential state estimation, and additional examples and exercises. MATLAB® codes are available on the book’s website.

Catalog no. K13799, June 2012, 280 pp. ISBN: 978-1-4398-8083-8, $79.95 / £49.99 Also available as an eBook

Catalog no. K11836, October 2011, 749 pp. ISBN: 978-1-4398-3985-0, $139.95 / £89.00 Also available as an eBook

Model-Based Tracking Control of Nonlinear Systems

Modeling and Control in Vibrational and Structural Dynamics

Elzbieta Jarzebowska Warsaw University of Technology, Poland Series: Modern Mechanics and Mathematics

To support the control design process, this book presents model-based control techniques for nonlinear, constrained systems. It covers constructive control design methods with an emphasis on modeling constrained systems, generating dynamic control models, and designing tracking control algorithms for the models. The author shows how system modeling and control theory are both essential to control design projects. She discusses kinematics and dynamic model formulation, describes the design of control algorithms, and presents a new tracking control strategy architecture. Numerous examples, problems, and references are included in each chapter. Catalog no. K11043, July 2012, 315 pp. ISBN: 978-1-4398-1981-4, $99.95 / £60.99 Also available as an eBook

A Differential Geometric Approach Peng-Fei Yao Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

With numerous examples and exercises throughout, this book describes the control behavior of mechanical objects, such as wave equations, plates, and shells. It presents a complete and up-to-date account of many important advances in the modeling and control of vibrational and structural dynamics. The text applies the differential geometric approach to waves, plates, shells, and quasilinear systems and describes differential geometric energy methods that are generalizations of classical energy methods. To make the book self-contained, the author gives an introduction to Riemannian geometry. Catalog no. K11556, July 2011, 419 pp. ISBN: 978-1-4398-3455-8, $104.95 / £66.99 Also available as an eBook

Save when you order online at www.crcpress.com

Math for Engineering Forthcoming!

Introduction to MATLAB with Applications for Chemical and Mechanical Engineers Daniel G. Coronell Introduction to MATLAB with Applications for Chemical and Mechanical Engineers provides applications from chemical engineering and biotechnology, such as thermodynamics, heat transfer, fluid mechanics, and mass transfer. The book features a section on input, output, and storage of data as well as a section on data analysis and parameter estimation that contains statistical analysis, curve fitting optimization, and error analysis. Many applied case studies are included from the engineering disciplines. It also offers instruction on the use of the MATLAB® optimization toolbox. It includes a CD-ROM of MATLAB programs. Figure slides are available upon qualifying course adoption

Math for the Physical Sciences Math for the Physical Sciences Geomathematically Oriented Potential Theory Willi Freeden Technical University of Kaiserslautern, Germany

Christian Gerhards Technical University of Kaiserslautern, Germany Series: Chapman & Hall/CRC Pure and Applied Mathematics

This work presents the principles of space and surface potential theory involving Euclidean and spherical concepts. It offers new insight on how to mathematically handle gravitation and geomagnetism for the relevant observables and how to solve the resulting potential problems in a systematic, mathematically rigorous framework. The authors build the foundation of potential theory in three-dimensional Euclidean space and its application to gravitation and geomagnetism. They then discuss surface potential theory on the unit sphere along with corresponding applications.

Catalog no. C5122, March 2014, 448 pp. Soft Cover, ISBN: 978-1-58488-512-2 $69.95 / £44.99 Also available as an eBook

Catalog no. K14227, October 2012, 468 pp. ISBN: 978-1-4398-9542-9, $109.95 / £68.99 Also available as an eBook

Forthcoming!

The Geometry of Special Relativity

Foundations of Interconnection Networks A.Yavuz Oruc and Manish Kumar Shukla Suitable for researchers and graduate students in computer science, electrical engineering, and applied mathematics, this book presents a concise yet complete account of the most significant results in interconnection network theory. The authors give a mathematical classification and characterization of the key interconnection functions of networks and establish their switching factor complexities using combinatorial methods. The text leads readers through the historical development, covering major contributions from Shannon, Clos, Benes, Cantor, Pinsker, and Margulis. It also explores recent results, such as quantum switching networks. Catalog no. K15533, May 2014, 300 pp. ISBN: 978-1-4665-5942-4, $89.95 / £57.99 Also available as an eBook

Tevian Dray Oregon State University, Corvallis, USA

"… develops the theory strictly from the geometry of hyperbolas, an approach unique within the textbook literature. … it gives an elementary, lively introduction to the theory. … The approximately 70 diagrams are not merely illustrations of the material given in the text of this well-thought-out representation but in most cases tools for the geometrical derivation of the results." —Wolfgang Hasse, Mathematical Reviews, May 2013

"I enjoyed reading this book and certainly learned from it … unquestionably a book that anybody who teaches special relativity will want to look at." —Mark Hunacek, MAA Reviews, September 2012

Catalog no. K14782, July 2012, 150 pp. ISBN: 978-1-4665-1047-0, $34.95 / £22.00 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Math for the Physical Sciences Physical Oceanography A Mathematical Introduction with MATLAB

Metaharmonic Lattice Point Theory Willi Freeden

Reza Malek-Madani

Technical University of Kaiserslautern, Germany

U.S. Naval Academy, Annapolis, Maryland, USA

Series: Chapman & Hall Pure and Applied Mathematics

Accessible to advanced undergraduate students, this text demonstrates how to use the basic tenets of multivariate calculus to derive the governing equations of fluid dynamics in a rotating frame. It also explains how to use linear algebra and PDEs to solve basic initial-boundary value problems that have become the hallmark of physical oceanography. The book makes the most of MATLAB®’s matrix algebraic functions, differential equation solvers, and visualization capabilities and includes chapter projects that incorporate MATLAB programming. Figure slides are available upon qualifying course adoption.

This work covers interrelated methods and tools of spherically oriented geomathematics and periodically reflected analytic number theory. It establishes multi-dimensional Euler and Poisson summation formulas corresponding to elliptic operators for the adaptive determination and calculation of formulas and identities of weighted lattice point numbers, in particular the non-uniform distribution of lattice points. The book presents multi-dimensional techniques for periodization, describes weighted lattice point and ball numbers in georelevant "potatolike" regions, and discusses radial and angular nonuniform lattice point distribution.

Catalog no. C830X, April 2012, 456 pp. ISBN: 978-1-58488-830-7, $79.95 / £49.99 Also available as an eBook

Catalog no. K12862, May 2011, 472 pp. ISBN: 978-1-4398-6184-4, $115.95 / £73.99 Also available as an eBook

Dynamics of the Chemostat

Mathematics for the Environment

A Bifurcation Theory Approach

Martin Walter

Abdelhamid Ajbar and Khalid Alhumaizi King Saud University, Riyadh, Saudi Arabia

Based on the authors’ extensive work in this field, this book explores the use of bifurcation theory to analyze the static and dynamic behavior of the chemostat. It presents a systematic, simple, and unified mathematical framework using singularity theory and bifurcation techniques. The authors cover a variety of case studies ranging from simple microbial growth to dynamics of interacting species to dynamics with product formation. They also address the connections between the design and control of the chemostat within the framework of singularity theory. Catalog no. K13016, August 2011, 368 pp. ISBN: 978-1-4398-6714-3, $104.95 / £66.99 Also available as an eBook

University of Colorado, Boulder, USA

Catalog no. K11565, January 2011, 679 pp. ISBN: 978-1-4398-3472-5 $93.95 / £59.99 Also available as an eBook

Forthcoming!

Modeling and Inverse Problems in the Presence of Uncertainty H. Thomas Banks, Shuhua Hu, and William Clayton Thompson Noth Carolina State University, Raleigh, USA Series: Monographs and Research Notes in Mathematics

Catalog no. K21506, April 2014, 300 pp. ISBN: 978-1-4822-0642-5, $89.95 / £57.99 Also available as an eBook

Save when you order online at www.crcpress.com

Math for Computer Science New!

Digital Geometry in Image Processing Jayanta Mukhopadhyay, Partha Pratim Das, Samiran Chattopadhyay, Partha Bhowmick, and Biswa Nath Chatterji IIT Kharagpur Research Monograph Series

Exploring theories and applications developed during the last 30 years, this book presents a mathematical treatment of the properties of digital metric spaces and their relevance in analyzing shapes in two and three dimensions. Unlike similar books, this one connects the two areas of image processing and digital geometry, highlighting important results of digital geometry that are currently used in image analysis and processing. With many figures (some in color) and end-of-chapter exercises, the book gives you insight on the latest two- and three-dimensional image processing applications. Catalog no. K14578, April 2013, 318 pp. ISBN: 978-1-4665-0567-4, $89.95 / £57.99 Also available as an eBook

Handbook of Finite State Based Models and Applications Edited by

Jiacun Wang Monmouth University, West Long Branch, New Jersey, USA Series: Discrete Mathematics and Its Applications

Applicable to any problem that requires a finite number of solutions, finite state-based models (also called finite state machines or finite state automata) have found wide use in various areas of computer science and engineering. This handbook provides a complete collection of introductory materials on finite state theories, algorithms, and the latest domain applications. For beginners, the book is a handy reference for quickly looking up model details. For more experienced researchers, it is suitable as a source of in-depth study in this area. Catalog no. K12067, October 2012, 409 pp. ISBN: 978-1-4398-4618-6, $99.95 / £63.99 Also available as an eBook

Forthcoming!

Variational Methods in Image Processing Luminita A. Vese University of California, Los Angeles, USA

Linear Algebra and Probability for Computer Science Applications Ernest Davis

Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series

Courant Institute of Mathematical Sciences, New York University, New York, USA

Variational methods have proven to be powerful techniques for solving many image processing tasks. Balancing theory with practical approaches, this book covers a wide range of variational methods and their applications. The first part of the text focuses on image restoration, covering such topics as regularization, minimization, and nonlocal and higher-order variational methods. The second part addresses image segmentation, including the Mumford and Shah segmentation problem. The final section discusses varational image processing on manifolds. An accompanying CD-ROM includes MATLAB® code and color figures.

Assuming as little mathematical background as possible, this classroom-tested text focuses on mathematical techniques that are most relevant to computer scientists. It covers applications from computer graphics, web search, machine learning, cryptography, and a host of other computer science areas. After an introductory chapter on MATLAB®, the text is divided into two sections, with the first focusing on linear algebra and the second discussing probability. MATLAB functions, MATLAB programming assignments, and problems are included in each chapter. MATLAB code is available on the author’s website.

Catalog no. K12255, April 2014, 406 pp. ISBN: 978-1-4398-4973-6, $79.95 / £49.99 Also available as an eBook

Catalog no. K14397, May 2012, 431 pp. ISBN: 978-1-4665-0155-3, $59.95 / £39.95 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Math for Computer Science Communication System Security Lidong Chen National Institute of Standards and Technology, Gaithersburg, Maryland, USA

Guang Gong

Jayanta Mukhopadhyay Indian Institute of Technology Kharagpur, West Bengal

University of Waterloo, Ontario, Canada Chapman & Hall/CRC Cryptography and Network Security Series

Helping current and future system designers take a more productive approach in the field, this text shows how to apply security principles to state-of-the-art communication systems. The authors use previous design failures and security flaws to explain common pitfalls in security design. The book includes many examples, figures, exercises, and projects and provides PowerPoint slides and other ancillaries on the author’s website. A solutions manual is available with qualifying course adoption. Catalog no. K11870, May 2012, 750 pp. ISBN: 978-1-4398-4036-8, $89.95 / £57.99

Handbook on Soft Computing for Video Surveillance Edited by

Sankar K. Pal Indian Statistical Institute, Kolkata

Alfredo Petrosino University of Naples Parthenope, Italy

Lucia Maddalena National Research Council, Naples, Italy Chapman & Hall/CRC Cryptography and Network Security Series

This handbook illustrates the application of soft computing techniques to different tasks in video surveillance. After an introduction to video surveillance systems and soft computing tools, the book gives examples of neural network-based approaches for solving video surveillance tasks and describes summarization techniques for content identification. Covering a broad spectrum of video surveillance topics, the remaining chapters explain how soft computing techniques are used to detect moving objects, track objects, and classify and recognize target objects. The book also explores advanced surveillance systems under development. Catalog no. K12673, January 2012, 342 pp. ISBN: 978-1-4398-5684-0, $99.95 / £63.99 Also available as an eBook

Image and Video Processing in the Compressed Domain

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, such as the DCT and DWT. The author discusses core image and video processing operations, such as filtering, color enhancement, and resizing. He also focuses on other facets of compressed domain analysis, including editing, indexing, steganography, and watermarking. MATLAB® codes are included on CD-ROM. Catalog no. K11443, March 2011, 280 pp. ISBN: 978-1-4398-2935-6, $83.95 / £52.99 Also available as an eBook

Forthcoming!

Image Processing and Acquisition using Python Ravishankar Chityala and Sridevi Pudipeddi Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series

Catalog no. K19004, January 2014, 392 pp. ISBN: 978-1-4665-8375-7, $79.95 / £49.99

Forthcoming!

Image Processing for Cinema Marcelo Bertalmío Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series

Catalog no. K14348, January 2014, 312 pp. ISBN: 978-1-4398-9927-4, $79.95 / £49.99

Save when you order online at www.crcpress.com

Math for Biology GameTheoretical Models in Biology Mark Broom

Cellular Potts Models Multiscale Extensions and Biological Applications

City University, London, UK

Marco Scianna

Jan Rychtar

Politecnico di Torino, Italy

University of North Carolina at Greensboro, USA

Luigi Preziosi

Series: Chapman & Hall/CRC Mathematical & Computational Biology

Covering the major topics of evolutionary game theory, this text presents both abstract and practical mathematical models of real biological situations. Suitable for readers studying and working at the interface of mathematics and the life sciences, it shows how evolutionary game theory is used in the modeling of diverse biological phenomena. The authors discuss the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In addition, they explore many applications of game theory to biology, making the text useful to biologists as well. A solutions manual is available upon qualifying course adoption.

This work shows how the cellular Potts model can be used as a framework for model building and how extended models can achieve even better biological practicality, accuracy, and predictive power. It focuses on ways to integrate and interface the basic cellular Potts model at the mesoscopic scale with approaches that accurately model microscopic dynamics. These extensions are designed to create a nested and hybrid environment, where the evolution of a biological system is realistically driven by the constant interplay and flux of information between the different levels of description.

Catalog no. K12455, March 2013, 520 pp. ISBN: 978-1-4398-5321-4, $79.95 / £39.99

New!

Dynamical Models in Medicine Yang Kuang Arizona State University, Tempe, USA

John Nagy Scottsdale Community College, Arizona, USA Series: Chapman & Hall/CRC Mathematical & Computational Biology

This self-contained book focuses on three categories of disease: cancer, viral, and dynamic. It presents the medical and biological background of these diseases, specific issues for modeling, and existing methods and their limitations. It introduces mathematical and programming tools, along with analytical and numerical studies of models. It provides end-of-chapter exercises and projects, hints and answers to selected problems at the back of the book, and a supplementary website with lecture notes, homework problems, useful computer programs, and other reference material. Figure slides are available upon qualifying course adoption. Catalog no. C990X, June 2014, 500 pp. ISBN: 978-1-58488-990-8, $79.95 / £49.99 Also available as an eBook

Politecnico di Torino, Italy

Catalog no. K15009, March 2013, 301 pp. ISBN: 978-1-4665-1478-2, $99.95 / £63.99 Also available as an eBook

New!

Systems Biology Mathematical Modeling and Model Analysis Andreas Kremling Technical University Munich, Germany Series: Chapman & Hall/CRC Mathematical & Computational Biology

Drawing on the latest research in the field, this text presents many methods for modeling and analyzing biological systems, in particular cellular systems. It shows how to use predictive mathematical models to acquire and analyze knowledge about cellular systems. It also explores how the models are systematically applied in biotechnology. The book includes many analytical and numerical examples as well as exercises and a bibliography at the end of each chapter. MATLAB® code is available on the book’s CRC Press web page. Figure slides are available upon qualifying course adoption. Catalog no. K16367, October 2013, 379 pp. ISBN: 978-1-4665-6789-4, $79.95 / £49.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com

Math for Biology Introduction to Biological Networks

Feedback Control in Systems Biology

Alpan Raval

Carlo Cosentino

Institute of Mathematical Sciences, Claremont Graduate University,

University of Catanzaro, Italy

Animesh Ray School of Applied Life Sciences, Keck Graduate Institute, Claremont, California, USA Series: Chapman & Hall/CRC Mathematical & Computational Biology

With many examples throughout and clear explanations of key concepts, this book focuses on the concept of molecular and genetic interaction networks as a paradigm for interpreting the complexity of molecular biology at a genomic scale. The authors describe the experimental methods used to discover and test networks of interaction among biological molecules. They also present computational methods for predicting the interaction networks, discuss general mechanisms of network formation and evolution, and explore the application of network approaches to important problems in biology and medicine. Catalog no. C4630, April 2013, 335 pp. ISBN: 978-1-58488-463-7, $79.95 / £49.99 Also available as an eBook

Stochastic Modelling for Systems Biology Second Edition

University of Exeter, UK

“Systems biology is an inherently interdisciplinary endeavor, and Cosentino and Bates seamlessly interweave these perspectives into an engaging and comprehensive text that is equally accessible to biologists, computational scientists, and engineers. Through their detailed examination of case studies, the authors develop a general conceptual framework for using quantitative analysis to better understand biological systems. This book is an excellent introduction for researchers new to the field, and it provides compelling and contemporary content for engineering courses on dynamics and control.” —Prof. Joshua Leonard, Department of Chemical and Biological Engineering, Northwestern University

Catalog no. K10870, October 2011, 296 pp. ISBN: 978-1-4398-1690-5, $93.95 / £59.99 Also available as an eBook

Dynamics of Biological Systems Michael Small Hong Kong Polytechnic University

Darren J. Wilkinson School of Mathematics and Statistics, Newcastle University, UK Series: Chapman & Hall/CRC Mathematical & Computational Biology

This book provides an accessible introduction to the use of stochastic processes for modeling biological systems, such as genetic and biochemical networks. Focusing on simulation, the text includes many examples, R and SBML code, and a number of computerbased exercises. Fully updated, this second edition includes improvements to the chapters on Markov processes, kinetics and approximate algorithms. It also greatly expands the coverage of statistical inference, using likelihood-free techniques. Updated computing aspects include a new R package and the use of the new SBML Level 3. Figure slides are available upon qualifying course adoption. Catalog no. K11715, November 2011, 363 pp. ISBN: 978-1-4398-3772-6, $93.95 / £59.99 Also available as an eBook

Declan Bates

Series: Chapman & Hall/CRC Mathematical & Computational Biology

With exercises and projects in each chapter, this classroomtested text shows how to apply a variety of mathematical and computational techniques to model and analyze the temporal and spatial phenomena of biological systems. The mathematical models and computer simulations offer insight into cardiac pacemakers, artificial electrical defibrillation, pandemics, pattern formation, flocking behavior, the interaction of autonomous agents, and hierarchical and structured network topologies. MATLAB® implementations of algorithms and case studies are available on the author’s website. A solutions manual is available upon qualifying course adoption. A solutions manual and figure slides are available upon qualifying course adoption. Catalog no. K12463, August 2011, 284 pp., ISBN: 978-1-4398-5336-8, $79.95 / £49.99 Also available as an eBook

Save when you order online at www.crcpress.com

Math for Biology Forthcoming!

Biological Computation Ehud Lamm Tel-Aviv University, Israel

Ron Unger Bar-Ilan University, Ramat-Gan, Israel

Stochastic Dynamics for Systems Biology Christian Mazza University of Fribourg, Switzerland

Michel Benaim

Series: Chapman & Hall/CRC Mathematical & Computational Biology

“Biological computing, the three-billion-year-old goldmine of information processing concepts, is ready for our educational mainstream. This beautiful undergraduate text by Lamm and Unger may be the first step. This book expertly presents fundamental concepts of molecular biology in its first chapter, and then goes on to develop many computing classics from biology. … I enjoyed reading this text. The exercises flex the imagination, the definitions are clear and precise, and the explanations are unusually powerful. I have been searching for a text like this for years, and now I look forward to using it.” —Computing Reviews, August 2011

Neuchatel University, Switzerland Series: Chapman & Hall/CRC Mathematical & Computational Biology

This book describes the stochastic dynamics modeling of gene expression processes not only at the cell level but also at higher organization levels, such as in morphogenesis. The book is one of the first to provide a systematic study of the many models used in the life sciences. Designed as a reference for mathematical biologists, systems biologists, biophysicists, and biomedical engineers, it can also be used as a text in advanced courses and includes exercises. Catalog no. K15019, March 2014, 264 pp. ISBN: 978-1-4665-1493-5, $79.95 / £49.99 Also available as an eBook

Catalog no. C7959, May 2011, 343 pp. ISBN: 978-1-4200-8795-6, $79.95 / £49.99

An Introduction to Stochastic Processes with Applications to Biology Second Edition Linda J. S. Allen Texas Tech University, Lubbock, USA

“… the author obviously understands well the level of knowledge of junior graduate students so the depth of concepts is finely controlled. … covers a rich set of selected topics with a clear focus on Markovtype processes. … the author has made a great effort to encourage the use of stochastic models in practice by providing many pieces of MATLAB codes, which are usually unavailable in other books on stochastic processes. … extends the stochastic differential equation part by including the multivariate Kolmogorov equations and the Itô formula.” —Hongyu Miao, Mathematical Reviews, Issue 2011m

Catalog no. K10993, December 2010, 490 pp. ISBN: 978-1-4398-1882-4, $93.95 / £41.99 Also available as an eBook

For more information and complete contents, visit www.crcpress.com