Contents Algebra ............................................................3 Combinatorics and Discrete Mathematics ........6 Differential Equations and Nonlinearity ..........12 Page 4
Page 16
General and Introductory Mathematics ..........15 Mathematical Modeling..................................17 Geometry, Topology, and Number Theory......18 Numerical Analysis and Mathematical Computation ..................................................20
Page 8
Page 17
Real, Complex, and Functional Analysis ..........25 Set Theory and Logic ......................................27 Mathematics for Biology and Medicine ..........28 Probability, Operations Research, and Related Topics..........................................30
Page 12
Page 19
Visit us at
www.crcpress.com
to view more information and complete tables of contents for these and many other related books.
MBCAMS0 MC_Survey_2.25.10rd
Algebra Textbook New!
A Modern Introduction to Linear Algebra Henry Ricardo Medgar Evers College, Brooklyn, New York, USA
“The author of this text has identified several shortcomings of typical courses on linear algebra and provides an exciting offering how to overcome them … The key advantage of this text is that the crucial topic of eigenvalues and eigenvectors is reached as fast as possible! … The single most exciting choice of this text is to start the semester with material on vectors (n-dimensional real vectors). …” —Matthias Gobbert, University of Maryland, Baltimore, USA
This text provides a rigorous yet accessible matrixoriented introduction to the essential concepts of linear algebra. Concrete, easy-to-understand examples motivate the theory. The book first discusses vectors, Gaussian elimination, and reduced row echelon forms. It then offers a thorough introduction to matrix algebra, including defining the determinant naturally from the PA=LU factorization of a matrix. The author also covers finitedimensional real vector spaces, infinite-dimensional spaces, linear transformations, and complex vector spaces. The final chapter presents Hermitian and normal matrices as well as quadratic forms.
Features
Textbook
FiniteDimensional Linear Algebra Mark S. Gockenbach Michigan Technological University, Houghton, USA
This text supplies a broad foundation for the study of advanced mathematics and applications of linear algebra to other areas of mathematics. Featured application areas include linear ODEs, polynomial approximation, and finite element methods. After defining a field, the author gives the results for a vector space over an arbitrary field along with overviews of diagonalization, best approximation, and linear operator equations. From the routine to the challenging, the text offers numerous exercises that span a broad range of difficulty. Some exercise sets present projects that prompt students to develop material that may not be discussed in the body of the text.
Features • Provides an overview of linear operator equations, best approximation, and diagonalization • Explores applications in interpolation and the Lagrange basis, piecewise polynomials and nodal bases, Newton’s method, and more • Presents an axiomatic development of finitedimensional linear algebra beginning with the definition of a field
• Develops key concepts in the context of Euclidean n-space
• Includes exercises that span a wide range of difficulty as well as problems with MATLAB® solutions
• Explains the theory of matrices
Contents
• Explores the differences between finite- and infinite-dimensional vector spaces
Some Problems Posed on Vector Spaces. Fields and Vector Spaces. Linear Operators. Orthogonality and Best Approximation. Determinants and Eigenvalues. The Jordan Canonical Form. The Singular Value Decomposition. Matrix Factorizations. Analysis in Vector Spaces. Appendices.
• Covers the algebra and matrix representation of linear transformations • Presents proofs for nearly all results • Includes a host of examples and various applications reflecting some of the many disciplines that use linear algebra Solutions manual forthcoming
Solutions manual forthcoming Catalog no. K10803, May 2010, c. 672 pp. ISBN: 978-1-4398-1563-2, $99.95 / £48.99
Catalog no. K10040, January 2010, 670 pp. ISBN: 978-1-4398-0040-9, $99.95 / £49.99
For more information and complete contents, visit www.crcpress.com
3
Algebra New!
Theory and Applications of HigherDimensional Hadamard Matrices
Textbook
Abstract Algebra Paul B. Garrett University of Minnesota, Minneapolis, USA
Second Edition Yi Xian Yang, Xin Xin Niu, and Cheng Qing Xu Beijing University of Posts and Telecommunication, People’s Republic of China
Drawing on the authors’ use of the Hadamardrelated theory in several successful engineering projects, this book explores the applications and dimensions of Hadamard matrices. It covers classical two-dimensional Walsh and Hadamard matrices as well as new Hadamard designs based on dyadic addition sets. This edition contains a new section on the applications of higher-dimensional Hadamard matrices to the areas of telecommunications and information security.
In addition to standard introductory material on the subject, such as Lagrange’s and Sylow’s theorems in group theory, this text provides important specific illustrations of general theory, discussing finite fields, cyclotomic polynomials, and cyclotomic fields. It also covers naive set theory, equivalents of the axiom of choice, quadratic reciprocity, Dirichlet’s theorem on primes in arithmetic progressions, and some basic complex analysis. Numerous worked examples and exercises facilitate a thorough understanding of the material. Catalog no. C6897, 2008, 472 pp. ISBN: 978-1-58488-689-1, $93.95 / £59.99
Catalog no. K10942, March 2010, c. 437 pp. ISBN: 978-1-4398-1807-7, $99.95 / £63.99
Textbook Textbook
Applied Algebra
Advanced Linear Algebra
Codes, Ciphers and Discrete Algorithms, Second Edition Darel W. Hardy
Bruce Cooperstein
Colorado State University, Fort Collins, USA
University of California, Santa Cruz, USA
Fred Richman
Designed to meet the requirements of a second course in linear algebra or a beginning graduate course, this book starts with familiar topics and builds to deeper results. Each section begins with definitions and results and offers extensive exercises with hints and selected solutions. The text defines and proves the existence of tensor products and delves into the symmetric and exterior algebras. Catalog no. K11457, June 2010, c. 300 pp. ISBN: 978-1-4398-2966-0, $79.95 / £49.99
Florida Atlantic University, Boca Raton, USA
Carol L. Walker New Mexico State University, Las Cruces, USA
Using mathematical tools from number theory and finite fields, this text presents practical methods for solving problems in data security and data integrity. This edition doubles the number of exercises and includes a new appendix that reviews prerequisite topics in algebra and number theory. The accompanying CD-ROM contains an interactive version of the book that is powered by Scientific Notebook®. A solutions manual is available for qualifying instructors. Catalog no. C7142, 2009, 424 pp. ISBN: 978-1-4200-7142-9, $99.95 / £44.99
4
SAVE 15% when you order online at www.crcpress.com
Algebra
Textbook
Textbook
Linear Algebra
Introduction to Abstract Algebra
A First Course with Applications Larry E. Knop Hamilton College, Clinton, New York, USA
“Knop speaks directly to undergraduates with the intention of not only teaching concepts and skills pertaining to the field of linear algebra, but also encouraging them to read mathematics … Most importantly, perhaps, is the author saw a positive response in his students’ performance in linear algebra when this book was used in his class.” —J.T. Zerger, Catawba College, CHOICE, August 2009, Vol. 46, No. 11
Solutions manual available for qualifying instructors
Jonathan D.H. Smith Iowa State University, Ames, USA
This book presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It discusses the fundamentals of abstract algebra, before offering deeper coverage of group and ring theory. Containing numerous exercises, chapter notes, and study projects, the text also provides examples of abstract algebra concepts in matrices and calculus. A solutions manual is available for qualifying instructors. Catalog no. C0637, 2009, 344 pp. ISBN: 978-1-4200-6371-4, $89.95 / £57.99
Catalog no. C7826, 2009, 752 pp. ISBN: 978-1-58488-782-9, $99.95 / £44.99
Textbook New!
Abstract Algebra An Interactive Approach William Paulsen Arkansas State University, Jonesboro, USA
This text presents a hands-on approach to learning about groups, rings, and fields. Each chapter includes both GAP and Mathematica® commands, corresponding Mathematica notebooks, traditional exercises, and several interactive computer problems that utilize GAP and Mathematica to explore groups and rings. The author discusses topics not covered in similar texts, such as semidirect products and skew fields. The accompanying CD-ROM contains GAP packages and Mathematica notebooks and a solutions manual is available for qualifying instructors.
Factoring Groups into Subsets Sandor Szabo University of Pecs, Hungary
Arthur D. Sands University of Dundee, Scotland
Focusing mainly on cyclic groups, this book explores the factorization theory of abelian groups. It discusses nonperiodic and periodic factorizations, quasiperiodicity, the factoring of periodic subsets, and how tiling plays an important role in number theory. The book also covers factorizations of infinite abelian groups, combinatorics, connections with codes, and several classical problems of Fuchs. Catalog no. C9046, 2009, 274 pp. Soft Cover, ISBN: 978-1-4200-9046-8 $179.95 / £109.00
Catalog no. C4521, January 2010, 560 pp. ISBN: 978-1-4200-9452-7, $99.95 / £46.99
For more information and complete contents, visit www.crcpress.com
5
Combinatorics and Discrete Mathematics Textbook
Textbook New!
Introduction to Cryptography with Mathematical Foundations and Computer Implementations
Discrete Mathematics Proofs, Structures and Applications, Third Edition Rowan Garnier Surrey, UK
Alexander Stanoyevitch California State University, Carson, USA
Intended for introductory courses in mathematics and computer science, this text focuses on the central topics of cryptography and provides background material where necessary, including coverage of number theory. It is designed to accommodate various degrees of computer implementation, ranging from no computer usage, to using platform-independent applets, to writing programs. The text presents numerous worked-out examples, extensive end-of-chapter exercise sets, and additional exercises throughout. Appendices contain solutions and answers to most odd-numbered exercises. The book’s website offers downloadable applets as well as programs that are replete with explanatory comments.
Features • Provides background material in the text as well as in the appendices • Presents numerous worked examples • Includes extensive exercise sets at the end of each chapter • Contains algorithms in pseudo-code and MATLAB® code
Contents An Overview of the Subject. Divisibility and Modular Arithmetic. The Evolution of Codemaking until the Computer Era. Matrices and the Hill Cryptosystem. The Evolution of Codebreaking until the Computer Era. Representation and Arithmetic of Integers in Different Bases. Block Cryptosystems and the Data Encryption Standard (DES). Some Number Theory and Algorithms. Public Key Cryptography. Finite Fields in General, and GF(28) in Particular. The Advanced Encryption Standard (AES) Protocol. Elliptic Curve Cryptography. References. Appendices.
John Taylor University of Brighton, UK
“This is a textbook on discrete mathematics for undergraduate students in computer science and mathematics. … The style of exposition is very clear, step by step and the level is well adapted to undergraduates in computer science. The treatment is mathematically rigorous; therefore it is also suitable for mathematics students. Besides the theory there are many concrete examples and exercises (with solutions!) to develop the routine of the student. So I can recommend warmly this book as a textbook for a course. It looks very attractive and has a nice typography. … an excellent textbook.” —H.G.J. Pijls, University of Amsterdam, The Netherlands
This third edition continues to provide a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. In the expanded first chapter, the text includes a new section on the formal proof of the validity of arguments in propositional logic before moving on to predicate logic. This edition also contains a new chapter on elementary number theory and congruences. This chapter explores groups that arise in modular arithmetic and RSA encryption. This third edition also offers a detailed solutions manual for qualifying instructors. Exploring the relationship between mathematics and computer science, this text continues to provide a secure grounding in the theory of discrete mathematics and to augment the theoretical foundation with salient applications. It is designed to help readers develop the rigorous logical thinking required to adapt to the demands of the everevolving discipline of computer science. Catalog no. K10650, January 2010, 843 pp. ISBN: 978-1-4398-1280-8, $89.95 / £39.99
Catalog no. K10916, May 2010, c. 632 pp. ISBN: 978-1-4398-1763-6, $89.95 / £44.99
6
SAVE 15% when you order online at www.crcpress.com
Combinatorics and Discrete Mathematics Algorithmic Combinatorics on Partial Words Francine Blanchet-Sadri University of North Carolina, Greensboro, USA
Delving into this emerging research area, Algorithmic Combinatorics on Partial Words presents a mathematical treatment of combinatorics on partial words designed around algorithms and explores up-and-coming techniques for solving partial word problems as well as the future direction of research. This five-part book begins with a section on basics that covers terminology, the compatibility of partial words, and combinatorial properties of words. The book then focuses on three important concepts of periodicity on partial words: period, weak period, and local period. The next part describes a linear time algorithm to test primitivity on partial words and extends the results on unbordered words to unbordered partial words while the following section introduces some important properties of pcodes, details a variety of ways of defining and analyzing pcodes, and shows that the pcode property is decidable using two different techniques. In the final part, the author solves various equations on partial words, presents binary and ternary correlations, and covers unavoidable sets of partial words.
Features • Presents algorithms in English followed by pseudo-code to facilitate implementation of the algorithms • Provides abundant worked examples and diagrams to illustrate concepts • Offers links to many web interfaces that have been established for automated use of the programs related to the book • Contains numerous exercises, including programming exercises, at the end of each chapter as well as selected solutions at the back of the book Catalog no. C6092, 2008, 392 pp. ISBN: 978-1-4200-6092-8, $89.95 / £57.99
A Combinatorial Approach to Matrix Theory and Its Applications Richard A. Brualdi University of Wisconsin, Madison, USA
Dragos Cvetkovic Mathematical Institute SANU, Belgrade, Serbia
Unlike most elementary books on matrices, this one employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices. After reviewing several basics, the book explains the algebra of matrices and uses the König digraph to carry out simple matrix operations. It then discusses matrix powers, provides a graphtheoretical definition of the determinant using the Coates digraph of a matrix, and presents a graphtheoretical interpretation of matrix inverses. The authors develop the elementary theory of solutions of systems of linear equations and show how to use the Coates digraph to solve a linear system. They also explore the eigenvalues, eigenvectors, and characteristic polynomial of a matrix; examine the important properties of nonnegative matrices; and study eigenvalue inclusion regions and sign-nonsingular matrices.
Features • Places combinatorial and graph-theoretical tools at the forefront of the development of matrix theory • Fosters a better understanding of matrix theory by using graphs to explain basic matrix construction, formulas, computations, ideas, and results • Presents material rarely found in other books at this level, including Gersgorin’s theorem and its extensions, the Kronecker product of matrices, sign-nonsingular matrices, and the evaluation of the permanent matrix • Includes a combinatorial argument for the classical Cayley–Hamilton theorem and a combinatorial proof of the Jordan canonical form of a matrix • Describes several applications of matrices in electrical engineering, physics, and chemistry Catalog no. C8223, 2009, 288 pp. ISBN: 978-1-4200-8223-4, $89.95 / £57.99
For more information and complete contents, visit www.crcpress.com
7
Combinatorics and Discrete Mathematics
New!
New!
Pearls of Discrete Mathematics
Cryptanalysis of RSA and Its Variants
Martin Erickson
M. Jason Hinek
Truman State University, Kirksville, Missouri, USA
iCORE Information Security Lab, Calgary, Canada
“The book under review is a friendly volume in discrete mathematics, which covers various classical topics, such as counting, probability and number theory, and more recent topics, such as information theory, game theory and algorithms. As far as I know, this book is one of only a few at this level that covers such recent topics. …”
Offering an updated look at this field, this book presents the best known mathematical attacks on RSA and its main variants, including CRT-RSA, multi-prime RSA, and multi-power RSA. It first introduces RSA and reviews the mathematical background needed for the majority of attacks described in the remainder of the text. It then brings together all of the most popular mathematical attacks on RSA and its variants. For each attack presented, the author includes a mathematical proof if possible or a mathematical justification for attacks that rely on assumptions. For the attacks that cannot be proven, he gives experimental evidence to illustrate their practical effectiveness.
—Mehdi Hassani, MAA Reviews, December 2009
Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relationship of these structures to algebra, geometry, number theory, and combinatorics. Each chapter begins with a mathematical teaser to engage readers and includes a particularly surprising, stunning, elegant, or unusual result. The author covers the upward extension of Pascal’s triangle, a recurrence relation for powers of Fibonacci numbers, ways to make change for a million dollars, integer triangles, the period of Alcuin’s sequence, and Rook and Queen paths and the equivalent Nim and Wythoff’s Nim games. He also examines the probability of a perfect bridge hand, random tournaments, a Fibonacci-like sequence of composite numbers, Shannon’s theorems of information theory, higher-dimensional tic-tac-toe, animal achievement and avoidance games, and an algorithm for solving Sudoku puzzles and polycube packing problems. Exercises ranging from easy to challenging are found in each chapter while hints and solutions are provided in an appendix. Catalog no. K10831, January 2010, 280 pp. Soft Cover, ISBN: 978-1-4398-1616-5 $59.95 / £38.99
8
Focusing on mathematical attacks that exploit the structure of RSA and specific parameter choices, this book provides an up-to-date collection of the most well-known attacks, along with details of the attacks. It facilitates an understanding of the cryptanalysis of public-key cryptosystems, applications of lattice basis reduction, and the security of RSA and its variants.
Features • Treats the cryptanalysis of the main variants of RSA as a major topic—one of the first books to do so • Collects all of the best known mathematical attacks on RSA and its variants, providing detailed proofs and justifications of these attacks • Includes the most recent results for lattice techniques based on Coppersmith’s methods • Differentiates between provable attacks and those based on assumptions Catalog no. C7518, January 2010, 272 pp. ISBN: 978-1-4200-7518-2, $79.95 / £49.99
SAVE 15% when you order online at www.crcpress.com
Combinatorics and Discrete Mathematics Textbook
Chromatic Graph Theory
Applied Combinatorics Second Edition Fred Roberts
Gary Chartrand and Ping Zhang
Rutgers University, Piscataway, New Jersey, USA
Western Michigan University, Kalamazoo, USA
Barry Tesman
“… well-conceived and well-written book … written in a reader-friendly style, and there is a sufficient number of exercises at the end of each chapter.” —Miklós Bóna, University of Florida, MAA Online, January 2009
Introducing graph theory with a coloring theme, this book explores connections between major topics in graph theory and graph colorings, including Ramsey numbers and domination, as well as emerging topics, such as list colorings, rainbow colorings, distance colorings related to the channel assignment problem, and vertex/edge distinguishing colorings. The authors include historical, applied, and algorithmic discussions. They also provide many exercises and suggestions for study projects. A solutions manual is available for qualifying instructors.
Features • Presents the fundamentals of graph theory, including trees, Hamiltonian graphs, factorizations, and more • Covers key topics in graph theory, such as Ramsey numbers and domination • Explores emerging areas in graph coloring, including list colorings, rainbow colorings, distance colorings related to the channel assignment problem, and vertex/edge distinguishing colorings • Contains carefully explained proofs and examples, along with many exercises of varying levels of difficulty at the end of each chapter • Offers suggestions for study projects in the appendix Catalog no. C8008, 2009, 504 pp. ISBN: 978-1-58488-800-0, $99.95 / £63.99
Dickinson College, Carlisle, Pennsylvania, USA
“The writing style is excellent. … The explanations are detailed enough that the students can follow the arguments readily. … No other text with which I am familiar comes even close to the number of applications presented here.” —John Elwin, San Diego State University, California, USA
“This book is a required textbook for my graduate course in discrete mathematics. Both my students and I have found it to be an excellent resource with interesting application examples from a variety of fields. … The book is very well organized and clearly reinforces both the practical and theoretical understanding … an appropriate text for junior, senior, and graduate students alike. I am particularly pleased with the relevancy and inclusion of computer science applications … .” —Dawit Haile, Virginia State University, Petersburg, USA
“Roberts and Tesman’s book covers all the major areas of combinatorics in a clear, insightful fashion. But what really sets it apart is its impressive use of applications. I know of no other text which comes close. There are entire sections devoted to subjects like computing voting power, counting organic compounds built up from benzene rings, and the use of orthogonal arrays in cryptography. And in exercises and examples, students test psychic powers, consider the UNIX time problem, plan mail carriers’ routes, and assign state legislators to committees. This really helps them to understand the mathematics and also to see how this field is useful in the real world.” —Thomas Quint, University of Nevada, Reno, USA
Includes a wide range of problems with solutions for half Catalog no. K10016, 2009, 848 pp. ISBN: 978-1-4200-9982-9, $99.95 / £60.99
For more information and complete contents, visit www.crcpress.com
9
Combinatorics and Discrete Mathematics New!
Textbook
Combinatorics of Compositions and Words
Combinatorial Methods with Computer Applications
Silvia Heubach California State University, Los Angeles, USA
Jonathan L. Gross
Toufik Mansour
Columbia University, New York, New York, USA
University of Haifa, Israel
Highlighting both established and new results, this book provides an introduction to the methods used in the combinatorics of pattern avoidance and pattern enumeration in compositions and words. It describes the strengths and weaknesses of a wide variety of solution techniques and approaches and illustrates new methods and definitions with worked examples. The text also incorporates the use of Maple™, Mathematica®, and C++ to perform computations. A solutions manual is available for qualifying instructors.
“I recently got [this] book on combinatorics and applications to computer science, and I like it so much that I am trying to re-shape some of the discrete maths courses I teach so that I could use it. I liked particularly [the] section on asymptotics, which is much more accessible for my undergrads than Graham, Knuth, and Patashnik.” —Josef Lauri, University of Malta
Catalog no. C7435, 2008, 664 pp. ISBN: 978-1-58488-743-0, $99.95 / £44.99
Catalog no. C7267, January 2010, 504 pp. ISBN: 978-1-4200-7267-9, $89.95 / £57.99
Elliptic Curves
Textbook
Design Theory
Number Theory and Cryptography, Second Edition
Second Edition
Lawrence C. Washington
C.C. Lindner and C.A. Rodger
University of Maryland, College Park, USA
Auburn University, Alabama, USA
The second edition of this bestseller includes new chapters on isogenies and hyperelliptic curves, a more complete treatment of the Tate–Lichtenbaum pairing, alternative coordinate systems and related computational issues, and Doud’s analytic method for computing torsion on elliptic curves over Q. It also discusses how to perform computations with elliptic curves in several popular computer algebra systems. Basic exercises appear at the end of each chapter.
Through both formal descriptions and many illustrations, this text presents some of the most important techniques used for constructing combinatorial designs. This edition contains extensive new material on embeddings, directed designs, universal algebraic representations of designs, and intersection properties of designs. It also includes important results in combinatorial designs, such as the existence of orthogonal Latin squares, balanced incomplete and pairwise balanced designs, affine and projective planes, and quadruple systems.
Catalog no. C7146, 2008, 536 pp. ISBN: 978-1-4200-7146-7, $89.95 / £57.99
Catalog no. C2965, 2009, 272 pp. ISBN: 978-1-4200-8296-8, $89.95 / £57.99
10
SAVE 15% when you order online at www.crcpress.com
Combinatorics and Discrete Mathematics Textbook
Introduction to Combinatorial Designs Second Edition W.D. Wallis
Textbook
Introduction to Network Security
Southern Illinois University, Carbondale, USA
Douglas Jacobson
This second edition covers classical designs, such as Latin squares, balanced incomplete block designs, and finite projective and affine planes, as well as more contemporary designs that include one-factorizations, Room squares, tournament designs, and nested designs. It also features applications in cryptography, computer science, and more. The text includes instructive examples and theorems, numerous exercises and selected solutions, and more complete solutions on the author’s website.
This book discusses network architecture, the functions of layers in a typical network, and network-based attacks, including header, protocol, and authentication attacks. Using a bottom-up approach and a define-attack-defend methodology, it provides an understanding of the vulnerabilities and mechanisms of each layer of network security. The text presents homework problems, laboratory experiments, and appendices that demonstrate how to develop a low cost lab environment and that offer an overview of cryptology.
Catalog no. C8385, 2007, 328 pp. ISBN: 978-1-58488-838-3, $89.95 / £57.99
Catalog no. C5432, 2009, 504 pp. ISBN: 978-1-58488-543-6, $79.95 / £39.99
Iowa State University, Ames, USA
Textbook
Algorithmic Cryptanalysis Antoine Joux
Introduction to Modern Cryptography Principles and Protocols
DGA and Université de Versailles Saint-Quentin-en-Yvelines, France
Jonathan Katz
Focusing on private- and public-key cryptographic algorithms, this book describes algorithmic methods with cryptographically relevant examples. The author covers linear algebra, sieving, the birthday paradox, Hadamard–Fourier–Walsh transforms, lattice methods, Gröbner bases, LFSRbased stream ciphers, elliptic curves, index calculus methods, and more. He includes some hints and solutions to the exercises as well as C code on http://www.joux.biz/algcrypt/
Yehuda Lindell
Catalog no. C7002, 2009, 519 pp. ISBN: 978-1-4200-7002-6, $89.95 / £54.99
University of Maryland, College Park, USA Bar-Ilan University, Ramat Gan, Israel
“The book is highly recommended as a textbook in cryptography courses at graduate or advanced undergraduate levels … covers in a splendid way the main notions of current cryptography from the point of view of informationtheoretical security. This corresponds indeed to a modern cryptography approach.” —Guillermo Morales-Luna, Zentralblatt MATH, 1143
Solutions manual available for qualifying instructors Catalog no. C5513, 2008, 552 pp. ISBN: 978-1-58488-551-1, $79.95 / £39.99
For more information and complete contents, visit www.crcpress.com
11
Differential Equations and Nonlinearity Chaotic Modelling and Simulation
Textbook New!
Ordinary Differential Equations
Analysis of Chaotic Models, Attractors and Forms
Applications, Models, and Computing
Christos H. Skiadas
Charles E. Roberts, Jr.
Technical University of Crete, Greece
Indiana State University, Terre Haute, USA
Charilaos Skiadas Hanover College, Indiana, USA
Bringing the computer into the classroom, this text emphasizes the use of computer software in teaching linear and nonlinear differential equations and systems. It discusses the theorems and applications of the first-order initial value problem. It then examines the theory for n-th order linear differential equations and the Laplace transform and its properties, before addressing several linear differential equations with constant coefficients that arise in physical and electrical systems. The author also presents systems of first-order differential equations as well as linear systems with constant coefficients that arise in physical systems. The final chapter introduces techniques for determining the behavior of solutions to systems of first-order differential equations without first finding the solutions. Designed to be independent of any particular software package, the book includes a CD-ROM with the software used to generate the solutions and graphs for the examples. A solutions manual is available for qualifying instructors.
Features • Includes numerical case studies that highlight possible pitfalls when computing a numerical solution without first considering the appropriate theory • Covers nonlinear differential equations and nonlinear systems
“This nicely written and generously illustrated book invites the reader with rather modest mathematical background to explore the exciting world of chaotic theory … The material is presented in a lucid and self-contained form, advancing from simpler to more complicated ideas and reflecting developments in the chaotic theory from its early steps to more recent discoveries. … This captivating book … provides an encyclopedic yet accessible … reading on chaotic theory and may well stimulate further interest … .” —Zentralblatt MATH, 1155
“…an extensive bibliography and a chronology of the most important papers in the field make the book an excellent reference source of general interest.” —EMS Newsletter, June 2009
Containing an extensive bibliography that lists the original work that defined the field, this book presents a large collection of chaotic models and chaotic attractors. Using more than 500 graphs and illustrations, the authors show how to design, estimate, and test an array of models. They explore the historic progression of chaos, from its humble beginnings to a major theory. The authors also include exercises, definitions, theorems, and proofs, along with simulation tools and code on http://www.cmsim.net./
• Discusses fundamental existence, uniqueness, and continuation theorems
Making a complex topic accessible through a visual and geometric style, this book should inspire new developments in the field of chaotic models and encourage more readers to become involved in this rapidly advancing area.
• Contains a CD-ROM with the software programs used in the text
Catalog no. C7900, 2009, 364 pp. ISBN: 978-1-4200-7900-5, $89.95 / £57.99
• Shows how to solve various mathematical models, such as population growth, epidemic, and predator-prey models
• Requires no prior knowledge of programming languages Catalog no. K11006, March 2010, 608 pp. ISBN: 978-1-4398-1908-1, $99.95 / £48.99
12
SAVE 15% when you order online at www.crcpress.com
Differential Equations and Nonlinearity Discrete and Continuous Fourier Transforms Analysis, Applications and Fast Algorithms Eleanor Chu Waterloo, Ontario, Canada
This accessible, self-contained book presents the fundamentals of Fourier analysis and their deployment in signal processing using DFT and FFT algorithms. It covers the DFT of windowed sequences, discrete convolution algorithms and their applications in digital filtering and filters, mixed-radix FFTs, and prime factor FFTs. A large number of graphical illustrations and worked examples, supported by numerical results using MATLAB®, help explain the concepts and relationships. Catalog no. C6363, 2008, 424 pp. ISBN: 978-1-4200-6363-9, $89.95 / £57.99
Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications Janusz Mierczynski Wroclaw University of Technology, Poland
Wenxian Shen Auburn University, Alabama, USA
Containing many new results and considering existing results from a fresh perspective, this book focuses on the principal spectral theory for general time-dependent and random parabolic equations and systems. It addresses classical Faber–Krahn inequalities for elliptic and time-periodic problems, extends the linear theory for scalar nonautonomous and random parabolic equations to cooperative systems, and presents applications to Kolmogorov systems of parabolic equations. Catalog no. C8954, 2008, 336 pp. ISBN: 978-1-58488-895-6, $89.95 / £57.99
Mixed Boundary Value Problems Dean G. Duffy Former Instructor, US Naval Academy, Annapolis, Maryland, USA
This work covers the various methods used to solve mixed boundary value problems. It presents techniques, such as transform methods, Green’s function, and conformal mapping, necessary to solve mixed boundary value problems found in many scientific and engineering areas, including elasticity and biomechanics. The author uses MATLAB® to illustrate the solutions and provides the code so readers can reproduce some of the examples. Catalog no. C5793, 2008, 488 pp. ISBN: 978-1-58488-579-5, $99.95 / £63.99
Difference Methods for Singular Perturbation Problems Grigory I. Shishkin and Lidia P. Shishkina Russian Academy of Science, Ekaterinburg
This book presents a systematic, detailed development of approaches to construct ε uniformly convergent finite difference schemes for wide classes of singularly perturbed boundary value problems. It explores boundary value problems for elliptic and parabolic reaction-diffusion and convection-diffusion equations. It also focuses on problems with boundary layers and additional singularities generated by nonsmooth data, unboundedness of the domain, and the perturbation vector parameter. Catalog no. C4592, 2009, 408 pp. ISBN: 978-1-58488-459-0, $119.95 / £76.99
For more information and complete contents, visit www.crcpress.com
13
Differential Equations and Nonlinearity Textbook
Coming soon!
Stochastic Partial Differential Equations
Applications of Lie Groups to Difference Equations
Pao-Liu Chow
Vladimir Dorodnitsyn
Wayne State University, Detroit, Michigan, USA
Keldysh Institute of Applied Mathematics, Moscow, Russia
“… very well-written introductory book … Overall I thoroughly recommend this book and believe that it will be a useful textbook with which to introduce students and young scientists to computational and analytical techniques for stochastic differential equations. This book is of great interest to applied mathematicians, theoretical physicists, naturalists, and all interested in statistical formulation of scientific problems.”
This book presents a survey of methods and results in a new application area of Lie groups to difference equations and difference meshes (lattices). It focuses on the formulation and mathematical substantiation of exact symmetry preservation in difference models, such as difference equations and meshes. Methods are illustrated with numerous examples and applications in heat and mass transfer, hydrodynamics, physics, and mechanics.
—Andrzej Icha, Institute of Mathematics, Pure and Applied Geophysics, June 2005
Catalog no. C4436, 2007, 281 pp. ISBN: 978-1-58488-443-9, $79.95 / £49.99
Catalog no. C3090, July 2010, c. 356 pp. ISBN: 978-1-4200-8309-5, $89.95 / £57.99
Textbook
Solution Techniques for Elementary Partial Differential Equations
Coming soon!
Wavelet Subdivision Methods
Second Edition
GEMS for Rendering Curves and Surfaces
Christian Constanda
Charles Chui
University of Tulsa, Oklahoma, USA
Stanford University, California, USA
The first edition of this popular textbook was a winner of CHOICE’s Outstanding Academic Title Award in 2002. Along with a new chapter on complex variable methods, this second edition provides several new sections on topics, such as Cauchy–Euler equations, Bessel functions, Legendre polynomials, spherical harmonics, applications of Fourier transformations, and general hyperbolic equations. It also adds many worked examples and exercises, with complex ones worked out using Mathematica®. Ancillary materials are available for qualifying instructors. Catalog no. K10569, June 2010, c. 344 pp. Soft Cover, ISBN: 978-1-4398-1139-9 $69.95 / £24.99
14
Johan deVilliers University of Stellenbosch, Matieland, South Africa
Focusing on subdivision curves and surfaces, this book details wavelet methods for geometric design, editing, and algorithm development. It presents a unified study of the theory, methods, and construction algorithms for the ideal wavelet families associated with existing subdivision schemes. Requiring no advanced mathematics knowledge, the text provides all of the necessary background on wavelet mathematics and curve and surface subdivisions. The authors also introduce new wavelets that they have developed. Catalog no. K10613, June 2010, c. 300 pp. ISBN: 978-1-4398-1215-0, $69.95 / £44.99
SAVE 15% when you order online at www.crcpress.com
General and Introductory Mathematics The CRC Encyclopedia of Mathematics
Pocket Book of Integrals and Mathematical Formulas
Third Edition (Three-Volume Set)
Ronald J. Tallarida
Eric W. Weisstein Wolfram Research, Champaign, Illinois, USA
This third edition of a bestseller is now presented as a three-volume set, making it much more accessible and easier to use when searching for information. Keeping the format that made its predecessors so popular, this edition has been extensively expanded, revised, and updated to now include nearly 12,000 entries. Each article provides definitions, formulas, illustrations, web links, bibliographic information, and facts from mathematics, the sciences, and engineering.
4th Edition Temple University, Philadelphia, Pennsylvania, USA
Maintaining its accessible style and portable size, this fourth edition of a bestseller presents many numerical and statistical tables, scores of worked examples, and the most useful mathematical formulas for engineering and scientific applications. This edition includes an expanded chapter on series, new applications such as geostationary satellite orbits and drug kinetics, an expanded statistics section, and a revised format of the table of integrals. Catalog no. C6304, 2008, 288 pp., Soft Cover ISBN: 978-1-4200-6304-2, $24.95 / £15.99
Catalog no. C722X, 2009, 4328 pp. ISBN: 978-1-4200-7221-1 $495.00 / £315.00
New!
Handbook of Mathematical Induction Theory and Applications David S. Gunderson University of Manitoba, Winnipeg, Canada
This comprehensive handbook enables readers to prove hundreds of mathematical results. It presents the formal development of natural numbers from axioms, which leads into set theory and transfinite induction. The book covers Peano’s axioms, weak and strong induction, double induction, infinite descent downward induction, and variants of these inductions. Numerous exercises and solutions highlight the various levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable by mathematical induction.
A Primer on Wavelets and Their Scientific Applications Second Edition James S. Walker University of Wisconsin, Eau Claire, USA
“… here is a math text that can be read quickly yet with comprehension. This is in keeping with the goal of engaging the applications as quickly and painlessly as possible. With such accessibility and a first-rate supporting apparatus, this flexible book can teach various audiences the basics of wavelets, involve them in applications, and inspire them to learn more.” —David A. Huckaby, Angelo State University, MAA Online, July 2008
Catalog no. C7451, 2008, 320 pp., Soft Cover ISBN: 978-1-58488-745-4, $44.95 / £28.99
Catalog no. C3649, April 2010, c. 840 pp. ISBN: 978-1-4200-9364-3, $99.95 / £63.99
For more information and complete contents, visit www.crcpress.com
15
General and Introductory Mathematics Textbook New!
Textbook
Measured Tones
Mathematics in Games, Sports, and Gambling
The Interplay of Physics and Music, Third Edition
The Games People Play
Ian Johnston University of Sydney, New South Wales, Australia
Ronald J. Gould Emory University, Atlanta, Georgia, USA
With an emphasis on mathematical thinking and problem solving, this text shows how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. It draws on numerous examples, questions, and problems to explain the application of mathematical theory to various real-life games, including the two-deck matching game, card tricks, and the NFL passer rating formula.
This bestseller offers an informal historical approach that shows the evolution of both theory and application at the intersection of physics and music. Exceptionally accessible, insightful, and now updated to consider modern technology, this new edition features a greater examination of psycho-acoustics and its role in the design of MP3s. It also includes expanded information on the gamelan and other Asian percussion instruments. A complementary website provides sound files and ancillary materials.
Catalog no. K10099, January 2010, 374 pp. ISBN: 978-1-4398-0163-5, $59.95 / £38.99
Catalog no. 93479, 2009, 454 pp. ISBN: 978-1-4200-9347-6, $59.95 / £36.99
Textbook
Textbook Coming soon!
Math and Art
The Mathematics of Politics
An Introduction to Visual Mathematics
E. Arthur Robinson, Jr. and Daniel Ullman
Sasho Kalajdzievski University of Manitoba, Winnipeg, Canada
George Washington University, Washington, DC, USA
“This delightful book grew out of set of teaching notes for an interdisciplinary course called Math in Art that was co-taught by a mathematician and an artist or architect. … The mathematical ideas are presented visually in a way that seems quite natural …The illustrations are beautiful! … The mathematics is accessible to those with little mathematical background, and yet the presentation is still engaging for those with more background.” —MAA Reviews, March 2009
Catalog no. C9136, 2008, 272 pp., Soft Cover ISBN: 978-1-58488-913-7, $59.95 / £33.99
16
Based on a popular mathematics and politics course taught by the authors, this text explores the mathematics of politics, showing how mathematical reasoning is connected to the pressing issues of contemporary politics and in the liberal arts. Focusing on voting, apportionment, conflict, and the Electoral College, each part of the text examines a type of decision problem and a way to solve it. Catalog no. K11044, September 2010 c. 375 pp., ISBN: 978-1-4398-1983-8 $49.95 / £30.99
SAVE 15% when you order online at www.crcpress.com
Mathematical Modeling Textbook
Mathematical and Experimental Modeling of Physical and Biological Processes
Textbook New!
An Integrated Introduction to Computer Graphics and Geometric Modeling
H.T. Banks and H.T. Tran
Ronald Goldman
North Carolina State University, Raleigh, USA
Rice University, Houston, Texas, USA
This book discusses mathematical modeling in the context of case study problems that arise in industry and government laboratories. It covers thermal imaging and detection, dynamic properties of beams, acoustics and fluid transport, and size-structured population dynamics for marine populations. The text explains physical and biological relationships and mechanisms through a first principles-based fundamental modeling approach. It also emphasizes model validation through specific laboratory experiments as well as data collection and analysis.
Emphasizing high-level algorithms, this accessible text focuses on standard graphics, modeling, and mathematical methods, including ray tracing, polygon shading, radiosity, fractals, freeform curves and surfaces, vector methods, and transformation techniques. The author begins with fractals first rather than typical line drawing algorithms and brings back the turtle from obscurity to introduce several major concepts in computer graphics. He includes many exercises and programming projects and offers PowerPoint slides online.
Catalog no. C7337, 2009, 298 pp. ISBN: 978-1-4200-7337-9, $79.95 / £48.99
Catalog no. K10188, January 2010, 574 pp. ISBN: 978-1-4398-0334-9, $89.95 / £48.99
Textbook
Coming soon!
Mathematical Modelling with Case Studies
Conceptual Modeling for Discrete-Event Simulation
A Differential Equations Approach using Maple™ and MATLAB®, Second Edition
Edited by
Stewart Robinson and Kathy Kotiadis
Belinda Barnes
University of Warwick, Coventry, UK
Australian National University, Canberra
Roger Brooks
Glenn Robert Fulford
University of Lancaster, UK
University of Technology, Brisbane, Australia
Durk-Jouke Van Der Zee
Focusing on compartmental models, population models, and heat transfer problems, this textbook carefully details the process of constructing a model. It includes many case studies to provide a practical understanding of how the models are used in current research. Maple™ and MATLAB® codes are supplied in the text and online so results can be reproduced exactly. A solutions manual is available for qualifying instructors.
University of Groningen, The Netherlands
Catalog no. C8348, 2009, 368 pp. ISBN: 978-1-4200-8348-4, $79.95 / £29.99
Catalog no. K10519, July 2010, c. 544 pp. ISBN: 978-1-4398-1037-8, $99.95 / £63.99
Conceptual modeling, which refers to the process of abstracting a simulation model from the real world, is recognized as one of the most important elements in discrete-event simulation. This book provides a comprehensive, coherent view on the current state of the art in simulation conceptual modeling for researchers and practitioners in discrete-event simulation.
For more information and complete contents, visit www.crcpress.com
17
Geometry, Topology, and Number Theory Textbook New!
Syzygies and Hilbert Functions
Essentials of Topology with Applications
Edited by
Steven G. Krantz
Irena Peeva
Washington University, St. Louis, Missouri, USA
Cornell University, Ithaca, New York, USA
Supported by many examples in mathematics, physics, economics, engineering, and other disciplines, this text provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological space, open and closed sets, separation axioms, and more, along with applications of the ideas in Morse, manifold, homotopy, and homology theories. The book also contains material on graph theory and dynamical systems.
Exploring fresh developments as well as fundamental concepts, this book presents highlights, conjectures, unsolved problems, and examples of Hilbert functions and resolutions. It studies the role of these functions in the areas of algebraic geometry and combinatorics. It also outlines the current status of both the LPP and multiplicity conjectures. In addition, the book discusses bigraded rings, multigraded rings, and toric rings.
Catalog no. C9749, January 2010, 420 pp. ISBN: 978-1-4200-8974-5, $89.95 / £57.99
Catalog no. C8601, 2007, 304 pp. Soft Cover, ISBN: 978-1-58488-860-4 $175.95 / £111.00
Limits of Graphs in Group Theory and Computer Science
Noncommutative Geometry and Cayley-smooth Orders
Edited by
Lieven Le Bruyn
Goulnara Arzhantseva
Universiteit Antwerpen, Belgium
University of Geneva, Switzerland
“… a nice introduction to the geometry of representation schemes … the author develops a veritable arsenal of modern tools any prospective expert will need to know in this area …” —Mathematical Reviews
“The book is very well-ordered and is written in a nice and readable style. It contains a huge amount of interesting material related to many important topics in modern mathematics and mathematical physics. …” —EMS Newsletter, March 2009
Catalog no. C6422, 2008, 592 pp. ISBN: 978-1-4200-6422-3, $99.95 / £63.99
18
Alain Valette University of Neuchatel, Switzerland
Highlighting modern methods and open problems, this collection explores the geometric, combinatorial, and computational aspects of group theory. The book focuses on the study of large families of finite graphs with certain expanding properties and their embeddings into Hilbert and Banach spaces. It investigates the structure of finitely generated groups giving rise to such graphs and examines new interactions with broad areas of theoretical computer science. Catalog no. N10060, 2009, 280 pp. ISBN: 978-1-4398-0400-1, $94.50 / £60.57
SAVE 15% when you order online at www.crcpress.com
Geometry, Topology, and Number Theory Textbook Textbook
Introduction to Number Theory Martin Erickson and Anthony Vazzana Truman State University, Kirksville, Missouri, USA
Highlighting both fundamental and advanced topics, this text provides all of the tools to achieve a solid foundation in number theory. It connects number theory to other branches of mathematics and to real-world problems. Coverage of special topics includes elliptic curves and Hilbert’s tenth problem. The text provides Mathematica® and Maple™ calculations, many worked examples and exercises, and a web page with Mathematica notebooks, Maple worksheets, and links to Internet resources. A solutions manual is available for qualifying instructors. Catalog no. C9373, 2008, 536 pp. ISBN: 978-1-58488-937-3, $89.95 / £39.99
Textbook New!
Advanced Number Theory with Applications Richard A. Mollin University of Calgary, Alberta, Canada
Fundamental Number Theory with Applications Second Edition Richard A. Mollin University of Calgary, Alberta, Canada
A mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject, this edition removes all advanced material to be even more accessible in scope. It adds new fundamental material, including partition theory, generating functions, and combinatorial number theory; expands coverage of random number generation, Diophantine analysis, and additive number theory; and includes more applications to cryptography, primality testing, and factoring. A solutions manual is available for qualifying instructors. Catalog no. C6659, 2008, 384 pp. ISBN: 978-1-4200-6659-3, $94.95 / £59.99
Coming soon!
Topological Vector Spaces Second Edition Lawrence Narici and Edward Beckenstein St. John’s University, New York, New York, USA
Solutions manual available for qualifying instructors
This second edition includes revised information on the Choquet boundary, reflexivity and approximation theory, strict and uniform norm convexities, Gateaux differentiability, and the Krein–Milman theorem. It devotes an entire chapter to the Hahn–Banach theorem, offering new results on uniqueness that employ norm convexities. This edition also contains a new chapter on topological algebras and presents an in-depth treatment of webbed spaces. Each chapter provides exercises and extensive problem-solving hints.
Catalog no. C8328, January 2010, 440 pp. ISBN: 978-1-4200-8328-6, $89.95 / £57.99
Catalog no. C866X, July 2010, c. 500 pp. ISBN: 978-1-58488-866-6, $89.95 / £57.99
“This terrific book is testimony to Richard Mollin’s mathematical erudition, wonderful taste, and also his breadth of culture. … Mollin’s treatment of elliptic curves is a model of clear exposition … a wondrous book, successfully fulfilling the author’s purpose of effecting a bridge to modern number theory for the somewhat initiated. …” —Michael Berg, Loyola Marymount University, MAA Review, 2009
For more information and complete contents, visit www.crcpress.com
19
Numerical Analysis and Mathematical Computation Textbook New!
New!
Algorithms and Theory of Computation Handbook
Classical and Modern Numerical Analysis
Second Edition (Two-Volume Set)
Theory, Methods and Practice
Edited by
Azmy S. Ackleh, Edward James Allen, Ralph Baker Kearfott, and Padmanabhan Seshaiyer
Mikhail J. Atallah
This advanced introduction provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It supplies the necessary background in numerical methods so that students can understand the mathematical literature in this area. The text also prepares graduate students for taking doctoral examinations in numerical analysis.
University of Notre Dame, Indiana, USA
The text covers the main areas of introductory numerical analysis, including the solution of nonlinear equations, numerical linear algebra, ODEs, approximation theory, numerical integration, and boundary value problems. Focusing on interval computing in numerical analysis, it explains interval arithmetic, interval computation, and interval algorithms. The authors illustrate the concepts with many examples as well as analytical and computational exercises at the end of each chapter. A solutions manual is available for qualifying instructors.
Purdue University, West Lafayette, Indiana, USA
Marina Blanton This handbook provides an up-to-date compendium of fundamental computer science topics and techniques. It also illustrates how the topics and techniques come together to deliver efficient solutions to important practical problems. Along with updating and revising many of the existing chapters, this second edition contains more than 20 new chapters. This edition now covers external memory, parameterized, self-stabilizing, and pricing algorithms as well as the theories of algorithmic coding, privacy and anonymity, databases, computational games, and communication networks. It also discusses computational topology, computational number theory, natural language processing, and grid computing and explores applications in intensity-modulated radiation therapy, voting, DNA research, systems biology, and financial derivatives.
• Provides a clear and solid introduction to the theory and application of computational methods for applied mathematics problems
This best-selling handbook continues to help computer professionals and engineers find significant information on various algorithmic topics. The expert contributors clearly define the terminology, present basic results and techniques, and offer a number of current references to the in-depth literature. They also provide a glimpse of the major research issues concerning the relevant topics.
• Helps prepare students for doctoral examinations in numerical analysis
Catalog no. C8180, January 2010, 1938 pp. ISBN: 978-1-58488-818-5, $179.95 / £114.00
Features
• Presents the most important advanced aspects of numerical linear algebra, finite element theory, approximation theory, optimization, and integral equations • Covers interval computation methods in numerical analysis • Includes fully worked out solutions for selected problems
Also available as individual volumes
General Concepts and Techniques Catalog no. C8229, January 2010, 988 pp. ISBN: 978-1-58488-822-2, $119.95 / £76.99
• Offers MATLAB® files on the authors’ website
Special Topics and Techniques
Catalog no. C9157, January 2010, 628 pp. ISBN: 978-1-4200-9157-1, $99.95 / £46.99
Catalog no. C820X, January 2010, 950 pp. ISBN: 978-1-58488-820-8, $119.95 / £76.99
20
SAVE 15% when you order online at www.crcpress.com
Numerical Analysis and Mathematical Computation Numerical Linear Approximation in C Nabih N. Abdelmalek
Numerical Techniques for Direct and Large-Eddy Simulations
National Research Council of Canada, Ottawa, Ontario (retired)
Xi Jiang
William A. Malek
Choi-Hong Lai
Brunel University, Uxbridge, UK
Nortel Networks, Ontario, Canada
University of Greenwich, London, UK
Featuring the C programming language to implement algorithms, this work provides a unique collection of linear approximation techniques that can be used to analyze, model, and compress discrete data in a variety of fields. It focuses on various L1, Chebyshev, and least squares approximations, including one-sided, bounded variables, and piecewise. The authors compare numerical results of the algorithms, which are accompanied by solved examples, and include a CD-ROM with source code and test drivers.
This work covers basic techniques for DNS and LES that can be applied to practical problems of flow, turbulence, and combustion. It presents numerical methods for compressible and incompressible three-dimensional flows. The book gives sample numerical simulation results that exemplify the practical application of the methods and includes sample FORTRAN programs in the appendix. It also discusses advanced topics and current challenges, including detached eddy simulation, SGS modeling, and multiscale flow simulations.
Catalog no. C9780, 2008, 968 pp. ISBN: 978-1-58488-978-6, $109.95 / £69.99
Decomposition Methods for Differential Equations Theory and Applications Juergen Geiser Humboldt University of Berlin, Germany
Exploring iterative operator-splitting methods, this book describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods. It covers real-life problems, the underlying decomposition and discretization, the stability and consistency analysis of the decomposition methods, and numerical results. Software tools are listed in an appendix. Catalog no. K10545, 2009, 304 pp. ISBN: 978-1-4398-1096-5, $89.95 / £54.99
Catalog no. C7578, 2009, 276 pp. ISBN: 978-1-4200-7578-6, $89.95 / £54.99
Effective Computational Methods for Wave Propagation Edited by
Nikolaos A. Kampanis, Vassilios A. Dougalis, and John A. Ekaterinaris FORTH/IACM, Heraklion, Crete, Greece
This volume presents several modern computational methods used to describe wave propagation phenomena in physics and technology, from underwater sound scattering to space-time issues to aerodynamics. It describes the basic physics of wave phenomena; surveys state-of-the-art developments, such as the discretization of local absorbing boundary conditions and the perfectly matched layer technique; and includes applications of waves in compressible fluids and nonlinear dispersive, acoustic, elastic, and seismic waves. Catalog no. C5688, 2008, 712 pp. ISBN: 978-1-58488-568-9, $129.95 / £82.00
For more information and complete contents, visit www.crcpress.com
21
Numerical Analysis and Mathematical Computation Textbook
Mathematical Objects in C++
Computational Partial Differential Equations Using MATLAB®
Computational Tools in a Unified Object-Oriented Approach
Jichun Li and Yi-Tung Chen
Yair Shapira Technion, Haifa, Israel
“This is an exciting book on mathematics on one hand and computer programming on the other … Many will find this book a major refresher of the mathematics literature. The programming part of the book serves as a very good introduction to C and C++, using meaningful and motivating examples from mathematics. The book is full of useful exercises of various difficulty. …” —Hans Petter Langtangen, Simula Research Laboratory and University of Oslo, Norway
Catalog no. K10574, 2009, 609 pp. ISBN: 978-1-4398-1147-4, $99.95 / £63.99
University of Nevada, Las Vegas, USA
This text introduces several major numerical methods for solving various PDEs in science and engineering. It covers the classic finite difference method and the finite element method as well as the high-order compact difference method and the radial basis function meshless method. The authors emphasize both theoretical numerical analysis and practical implementation of the algorithms in MATLAB®. The accompanying CD-ROM contains MATLAB source code. A solutions manual is available for qualifying instructors. Catalog no. C9048, 2009, 384 pp. ISBN: 978-1-4200-8904-2, $89.95 / £57.99
Genetic Algorithms and Genetic Programming
Textbook
Solving Applied Mathematical Problems with MATLAB®
Modern Concepts and Practical Applications
Dingyu Xue
Michael Affenzeller Upper Austria University of Applied Sciences, Hagenberg, and Johannes Kepler University of Linz, Austria
Stephan Winkler, Stefan Wagner, and Andreas Beham Upper Austria University of Applied Sciences, Hagenberg
This book describes several generic algorithmic concepts that can be used in any kind of GA or with evolutionary optimization techniques. It provides a better understanding of the basic workflow of GAs and GP and shows how to substantially increase achievable solution quality. It also describes structure identification using HeuristicLab as a platform for algorithm development. Software, dynamical presentations of representative test runs, and more are available on a supplementary website. Catalog no. C6293, 2009, 379 pp. ISBN: 978-1-58488-629-7, $79.95 / £48.99
22
Northeastern University, Shenyang, People’s Republic of China
Yangquan Chen Utah State University, Logan, USA
“The reader’s ability to tackle mathematical problems can be significantly enhanced after reading this book. …This book can be used as a reference text for almost all college students, both undergraduates and graduates, in almost all disciplines that require certain levels of applied mathematics. … A lot of MATLAB functions designed by the authors and some thirdparty free toolboxes are also presented in the book.” —Zentralblatt MATH, 1156
Solutions manual available for qualifying instructors Catalog no. C8250, 2009, 448 pp. ISBN: 978-1-4200-8250-0, $79.95 / £38.99
SAVE 15% when you order online at www.crcpress.com
Numerical Analysis and Mathematical Computation Introduction to Grid Computing
Grid Resource Management
Frédéric Magoulès and Jie Pan
Toward Virtual and Services Compliant Grid Computing
École Centrale Paris, ChâtenayMalabry, France
Kiat-An Tan National University of Singapore
Abhinit Kumar Indian Institute of Technology, Gwalior
This concise guide explores state-of-the-art grid projects, core grid technologies, and applications of the grid. It covers virtual organizations, scheduling algorithms, fault tolerance strategies, grid workflow management systems, security technologies, and grid middlewares. The authors apply the Monte Carlo method and PDEs to financial and computational mechanics problems. They also describe the components and installation of Globus Toolkits 4.0 and gLite. Catalog no. C7406, 2009, 334 pp. ISBN: 978-1-4200-7406-2, $79.95 / £48.99
Frédéric Magoulès, Thi-Mai-Huong Nguyen, and Lei Yu École Centrale Paris, ChâtenayMalabry, France
This book explores the trend toward a more service-oriented approach that exposes grid protocols using web services standards. It introduces a virtual file system for the grid environment and a framework for deploying scientific applications into a grid environment. The book also covers P2P systems, service-oriented architecture, scheduling algorithms, semantic technologies, grid applications, Java WS Core programming, and GT4 security. Catalog no. C7404, 2009, 306 pp. ISBN: 978-1-4200-7404-8, $79.95 / £49.99
New!
Textbook
Fundamentals of Grid Computing
Parallel Algorithms
Theory, Algorithms and Technologies
University of Hawaii, Honolulu, USA
Edited by
CNRS, LIG Laboratory, University of Grenoble, France
Frédéric Magoulès
Henri Casanova
Arnaud Legrand
École Centrale Paris, ChâtenayMalabry, France
Yves Robert
This volume discusses how the novel technologies of semantic web and workflow have been integrated into the grid and grid services. It focuses on sharing resources, data replication, data management, fault tolerance, scheduling, broadcasting, and load balancing algorithms. The book discusses emerging developments in grid computing, including cloud computing, and explores large-scale computing in high energy physics, weather forecasting, and more. Two types of easy-to-use open source software written in Java are presented in the appendices.
“…the authors perfectly explain not only homogeneous models … but also load balancing on heterogeneous platforms … . This book can serve as a very good teaching book or a source of useful material for graduate students and researchers in parallel distributed memory architectures. It contains many schemes, diagrams, and pictures for better understanding, including many practical examples, case studies, and exercises.”
Catalog no. K10205, January 2010, 322 pp. ISBN: 978-1-4398-0367-7, $89.95 / £57.99
École Normale Supérieure de Lyon, Institut Universitaire de France, and Université de Lyon, France
—EMS Newsletter, June 2009
Catalog no. C9454, 2009, 360 pp. ISBN: 978-1-58488-945-8, $79.95 / £39.99
For more information and complete contents, visit www.crcpress.com
23
Numerical Analysis and Mathematical Computation Textbook New!
Coming soon!
Techniques and Applications
Expansions and Asymptotics for Statistics
Barry Wilkinson
Christopher G. Small
University of North Carolina, Charlotte, USA
University of Waterloo, Ontario, Canada
Designed for senior undergraduate and first-year graduate students, this classroom-tested, practical book encompasses the varied and interconnected aspects of Grid computing, including how to design a system infrastructure and Grid portal. It covers job submission and scheduling, Grid security, Grid computing services and software tools, graphical user interfaces, workflow editors, and Grid-enabling applications. Ancillary resources are available on the author’s website.
This book provides a broad toolkit of analytical methods and implements the topics with relevant Maple™ commands. It presents methods for expansions of functions arising in probability and statistics, describes mainstream statistical asymptotics, covers Laplace approximation and the saddle-point method, and discusses alternatives to Monte Carlo techniques, such as the summation of series. Vignettes of various instrumental people in statistics and mathematics are included throughout.
Grid Computing
Catalog no. C6953, January 2010, 387 pp. ISBN: 978-1-4200-6953-2, $79.95 / £49.99
Introduction to Scientific Programming and Simulation Using R
Catalog no. C5904, May 2010, c. 360 pp. ISBN: 978-1-58488-590-0, $89.95 / £57.99
Coming soon!
MATLAB® Primer Eighth Edition
Owen Jones, Robert Maillardet, and Andrew Robinson
Timothy A. Davis University of Florida, Gainesville, USA
University of Melbourne, Parkville, Australia
“The authors have written an excellent introduction to scientific programming with R. Their clear prose, logical structure, well-documented code and realistic examples made the book a pleasure to read. … I would strongly recommend this book for readers interested in using R for simulations, particularly for those new to scientific programming or R. It is also very student-friendly and would be suitable either as a course textbook or for self-study.” —Significance, September 2009
Featuring MATLAB® 8.0, the eighth edition of this popular book covers object-oriented programming in MATLAB and the improvements that have been made to the MATLAB desktop and programming tools. A new chapter discusses MATLAB Central and the appendix of help topics has been updated to reflect only the most frequently used commands, making it quicker and easier to access needed information. Catalog no. K11404, July 2010, c. 256 pp. Soft Cover, ISBN: 978-1-4398-2862-5 $21.99 / £13.99
Catalog no. C6872, 2009, 472 pp. ISBN: 978-1-4200-6872-6, $79.95 / £48.99
24
SAVE 15% when you order online at www.crcpress.com
Real, Complex, and Functional Analysis Textbook New!
Applied Functional Analysis Second Edition J. Tinsley Oden and Leszek Demkowicz University of Texas, Austin, USA
While retaining the structure of its best-selling predecessor, this second edition includes revisions of many original examples, along with new examples that often reflect the authors’ own vast research experiences and perspectives. This edition also provides many more exercises as well as a solutions manual for qualifying instructors. Each chapter begins with an extensive introduction and concludes with a summary and historical comments that frequently refer to other sources.
New to the Second Edition • Completely revised section on lim sup and lim inf • New discussions of connected sets, probability, Bayesian statistical inference, and the generalized (integral) Minkowski inequality • New sections on elements of multilinear algebra and determinants, the singular value decomposition theorem, the Cauchy principal value, and Hadamard finite part integrals • New example of a Lebesgue non-measurable set Ideal for a two-semester course, this proven textbook presents the mathematical foundations that lead to classical results in functional analysis. It teaches students how to prove theorems and prepares them for further study of more advanced mathematical topics. It also helps them succeed in formulating research questions in a mathematically rigorous way. Catalog no. C1956, March 2010, c. 596 pp. ISBN: 978-1-4200-9195-3, $119.95 / £76.99
New!
Localization and Perturbation of Zeros of Entire Functions Michael Gil’ Ben Gurion University of the Negev, Israel
One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. This is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. The book also offers a new approach for investigating entire functions based on recent estimates for the resolvents of compact operators. The author discusses various inequalities for the zeros of polynomials, inequalities for the counting function of the zeros, and the variations of the zeros of finite-order entire functions under perturbations. He then develops the perturbation results in the case of entire functions whose order is less than two, presents results on exponential-type entire functions, and obtains explicit bounds for the zeros of quasipolynomials. The author also offers additional results on the zeros of entire functions and explores polynomials with matrix coefficients.
Features • Presents a novel approach for investigating entire functions • Investigates the sums of the zeros of entire functions and variations of zeros under perturbations • Estimates the distance between the zeros of an entire function and its critical points • Calculates the distance between the zeros of the Taylor series and the zeros of its tail • Describes applications to differential, functional differential, and difference equations Catalog no. K10036, January 2010, 312 pp. ISBN: 978-1-4398-0032-4 $179.95 / £114.00
For more information and complete contents, visit www.crcpress.com
25
Real, Complex, and Functional Analysis Handbook of Special Functions
Measure & Probability
Derivatives, Integrals, Series and Other Formulas
S.R. Athreya Indian Academy of Sciences, Bangalore
Yury A. Brychkov
V.S. Sunder
Dorodricyn Computing Center, Moscow, Russia
Institute of Mathematical Sciences, Chennai
This handbook provides in-depth coverage of special functions, which are used to help solve many of the most difficult problems in physics, engineering, and mathematics. It presents new results along with well-known formulas used in many of the most important mathematical methods in order to solve a wide variety of problems. The book also discusses formulas of connection and conversion for elementary and special functions, such as hypergeometric and Meijer G functions.
This book begins with the construction of Lebesgue measure via Caratheodory’s outer measure approach and goes on to discuss integration and standard convergence theorems. It devotes an entire chapter to complex measures, Lp spaces, Radon–Nikodym theorem, and the Riesz representation theorem. The book presents the elements of probability theory, the law of large numbers, and central limit theorem, before discussing discrete time Markov chains, stationary distributions, and limit theorems.
Catalog no. C956X, 2008, 704 pp. ISBN: 978-1-58488-956-4, $99.95 / £63.99
Catalog no. N10021, 2009, 232 pp. ISBN: 978-1-4398-0126-0, $69.95 / £42.99
Textbook New!
Textbook
Complex Variables
Real and Complex Analysis
A Physical Approach with Applications and MATLAB
Christopher Apelian and Steve Surace
Steven G. Krantz
Drew University, Madison, New Jersey, USA
Washington University, St. Louis, Missouri, USA
Unlike other undergraduate-level texts, this book develops both the real and complex theory together, illustrating the connections and differences between these two branches of analysis right from the beginning. It takes a unified, elegant approach to the theory that is consistent with the recommendations of the MAA’s 2004 Curriculum Guide. More than 1,000 exercises enhance the text and ancillary materials are available on the book’s website.
“… [the book] presents various topics which rarely appear in a textbook form …proofs are carefully chosen … [it] has many illustrations which clarify key concepts from complex variable … strongly recommended to everybody interested in modern complex analysis.” —Marek Jarnicki, Zentralblatt MATH, 1131, 2008/2009
Catalog no. C5807, 2008, 440 pp. ISBN: 978-1-58488-580-1, $99.95 / £39.99
Catalog no. C8067, January 2010, 567 pp. ISBN: 978-1-58488-806-2, $89.95 / £39.99
26
SAVE 15% when you order online at www.crcpress.com
Set Theory and Logic Textbook
Invariant Descriptive Set Theory
Introduction to Mathematical Proofs A Transition Charles E. Roberts, Jr.
Su Gao University of North Texas, Denton, USA
Indiana State University, Terre Haute, USA
“… a helpful and readable introduction to a young and developing area of research.”
This accessible book teaches how to reason logically, read proofs critically, and write valid mathematical proofs. It facilitates a smooth transition from courses designed to develop computational skills and problem solving abilities to courses that emphasize theorem proving. The text proves many theorems from different areas in mathematics. It includes numerous examples and exercises, along with a solutions manual for qualifying instructors.
—MAA Review, March 2009
“This is an excellent book which presents the basics of invariant descriptive set theory as well as some of the latest developments in this field. The organization of the book is very clear … the book is accessible to any reader with a basic mathematical background.” —Tamás Mátrai, Zentralblatt MATH, 2009
Catalog no. C7931, 2009, 392 pp. ISBN: 978-1-58488-793-5, $89.95 / £57.99
Catalog no. C6955, 2009, 433 pp. ISBN: 978-1-4200-6955-6, $89.95 / £57.99
Textbook New!
New!
Introduction to Mathematical Logic
Introduction to Mathematics of Satisfiability
Fifth Edition
Victor W. Marek
Elliott Mendelson Queens College, Flushing, New York, USA
“Since its first edition, this fine book has been a text of choice for a beginner’s course on mathematical logic. … Mendelson’s textbook remains a sure choice for a first course for its clear explanations and organization: definitions, examples and results fit together in a harmonic way, making the book a pleasure to read. The book is especially suitable for self-study, with a wealth of exercises to test the reader’s understanding.” —MAA Reviews, December 2009
Catalog no. C8768, January 2010, 469 pp. ISBN: 978-1-58488-876-5, $89.95 / £39.99
University of Kentucky, Lexington, USA
This book focuses on the satisfiability of theories consisting of propositional logic formulas. After covering logic fundamentals, it examines clauses, their proof theory and semantics, and basic complexity issues of propositional logic. The final chapters on knowledge representation explore finite runs of Turing machines and encodings into SAT. The author also shows how constraint satisfaction systems can be worked out by satisfiability solvers and how answer set programming can be used for knowledge representation. Catalog no. K10101, January 2010, 364 pp. ISBN: 978-1-4398-0167-3, $89.95 / £54.99
For more information and complete contents, visit www.crcpress.com
27
Mathematics for Biology and Medicine New!
Spatial Ecology
Kinetic Modelling in Systems Biology
Edited by
Stephen Cantrell, Chris Cosner, and Shigui Ruan
Oleg Demin Moscow State University, Russia
Igor Goryanin
University of Miami, Coral Gables, Florida, USA
University of Edinburgh, Scotland
Exploring the relationship between mathematics and ecology, Spatial Ecology focuses on emerging challenges in the field. These challenges consist of understanding the impact of space on community structure, incorporating the scale and structure of landscapes into mathematical models, and developing connections between spatial ecology and evolutionary theory, epidemiology, and economics. The book shows how various models, such as reaction- diffusion, multivariate state-space, and metapopulation models, are used in ecological applications.
Focusing on one of the main pillars in the future development of systems biology, this book examines the kinetic modelling approach and describes how to apply it to solve real-life problems. It covers model creation techniques, model verification and validation, simulations, and interpretation of biological results. It also provides several examples of applications, including drug safety mechanisms and multiple target identification analysis. The accompanying CD-ROM contains pathway diagrams, model examples, EPE software, and DBSolve installation.
Catalog no. C5985, January 2010, 360 pp. ISBN: 978-1-4200-5985-4, $89.95 / £54.99
Catalog no. C6676, 2009, 360 pp. ISBN: 978-1-58488-667-9, $79.95 / £49.99
Textbook New! New!
Differential Equations and Mathematical Biology
Cell Mechanics From Single ScaleBased Models to Multiscale Modeling
Second Edition
Edited by
D.S. Jones
Arnaud Chauvière
University of Dundee, Scotland
University of Texas, Houston, USA
M.J. Plank University of Canterbury, Christchurch, New Zealand
Luigi Preziosi
B.D. Sleeman
Politecnico di Torino, Italy
University of Leeds, UK
Claude Verdier Cell Mechanics brings together new insight and research on mechanical, mathematical, physical, and biological approaches for simulating the behavior of cells, specifically tumor cells. The book illustrates how phenomena occurring at various scales can be modeled and coupled to account for multiscale aspects. It discusses experimental and theoretical topics, including biological and complex modeling issues.
Ideal for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, this best-selling text introduces the fundamental modeling and analytical techniques used to understand biological phenomena. This edition includes a new section on spiral waves, recent developments in tumor biology, and additional examples and exercises. It also offers more on the numerical solution of differential equations and numerical bifurcation analysis, providing downloadable MATLAB® files online.
Catalog no. C4548, January 2010, 482 pp. ISBN: 978-1-4200-9454-1, $119.95 / £76.99
Catalog no. C8357, January 2010, 462 pp. ISBN: 978-1-4200-8357-6, $79.95 / £34.99
CNRS, Grenoble, France
28
SAVE 15% when you order online at www.crcpress.com
Mathematics for Biology and Medicine Textbook
New!
Optimal Control Applied to Biological Models
Fractals and Multifractals in Ecology and Aquatic Science
Suzanne Lenhart University of Tennessee, Knoxville, USA
John T. Workman Cornell University, Ithaca, New York, USA
This text introduces the mathematical aspects of optimal control theory and provides insight into the application of this theory to biological models. It examines various problems and features a range of biological applications, including immunology and epidemic disease models, management decisions in harvesting, and resource allocation models. The book also includes numerous examples and exercises as well as MATLAB® codes throughout, enabling readers to modify the codes for their own applications.
Laurent Seuront Flinders University, Adelaide, Australia
This book provides scientists with a basic understanding of fractals and multifractals and the techniques that utilize them in analyzing ecological phenomenon. These techniques are especially valuable for analyzing spatial data sets and physical-biological couplings at different spatial and/or temporal scales. Written in a step-by-step fashion, the text demystifies the techniques and explores a wide variety of ecological situations and their solutions. Catalog no. 2782, January 2010, 360 pp. ISBN: 978-0-8493-2782-7, $89.95 / £57.99
Catalog no. C6404, 2007, 280 pp. ISBN: 978-1-58488-640-2, $89.95 / £46.99
Textbook New!
Algorithms in Bioinformatics A Practical Introduction Wing-Kin Sung National University of Singapore
Coming soon!
Multiscale Cancer Modeling Thomas S. Deisboeck Athinoula A. Martinos Center for Biomedical Imaging, Charlestown, Massachusetts, USA
Georgio S. Stamatakos
This classroom-tested text provides an in-depth introduction to the algorithmic techniques applied in bioinformatics. For each topic, the author clearly details the biological motivation, precisely defines the corresponding computational problems, and includes detailed examples to illustrate each algorithm. The text covers sequence and genome alignment, the phylogenetic tree, the secondary structure of RNA, population genetics, and more. Supplementary material is provided on the author’s website and a solutions manual is available for qualifying instructors.
Understanding tumors as a complex biosystem involves finding ways to investigate and target their many constituents and dynamic relationships across multiple scales in space and time. It requires a detailed understanding of multiscale modeling and simulation. Featuring key players in this important field, this book provides a comprehensive introduction to multiscale cancer modeling. It offers an accessible approach, making it useful for advanced courses on the subject.
Catalog no. C7033, January 2010, 407 pp. ISBN: 978-1-4200-7033-0, $79.95 / £39.99
Catalog no. K10739, July 2010, c. 384 pp. ISBN: 978-1-4398-1440-6, $89.95 / £57.99
National Technical University of Athens, Zografou, Greece
For more information and complete contents, visit www.crcpress.com
29
Probability, Operations Research, and Related Topics New!
Textbook New!
Introduction to Scheduling
Linear and Nonlinear Programming with Maple™
Edited by
Yves Robert École Normale Supérieure de Lyon, Institut Universitaire de France, and Université de Lyon, France
An Interactive, Applications-Based Approach
Frederic Vivien INRIA and Université de Lyon, France
Paul E. Fishback
Full of practical examples, this book presents the basic concepts and methods, fundamental results, and recent developments of scheduling theory. Highly respected experts introduce methods for solving various scheduling problems, including resource-constrained project scheduling, machine scheduling, job scheduling, and online scheduling. Along with a number of theorems and pedagogical proofs, the book also provides in-depth coverage of key application fields.
Grand Valley State University, Allendale, Michigan, USA
Catalog no. C7273, January 2010, 333 pp. ISBN: 978-1-4200-7273-0, $89.95 / £57.99
Integrating a hands-on learning approach, a strong linear algebra focus, Maple™ software, and real-world applications, this text introduces the mathematical concepts and principles underlying linear and nonlinear programming. It draws on the simplex method to develop the major ideas of duality and sensitivity analysis and provides applications and exercises from various disciplines, including zoology, chemistry, and game theory. Maple worksheets and code are available on the book’s website. Catalog no. C064X, January 2010, 413 pp. ISBN: 978-1-4200-9064-2, $89.95 / £57.99
Optimal Design of Queueing Systems
Pólya Urn Models
Shaler Stidham Jr.
Hosam Mahmoud
University of North Carolina, Chapel Hill, USA
George Washington University, Washington, DC, USA
This book explores how to set the parameters of a queueing system, such as arrival and service rates, before putting it into operation. It presents various optimality criteria, including individual, social, class, and facility optimal solutions. The book focuses on a single-facility, single-class queue; special cases of multiclass queues; multifacility queueing systems; and networks of queues and the qualitative properties of optimal solutions.
This book deals with discrete probability through the modern and evolving urn theory and its numerous applications. It looks at how some classical problems of discrete probability have roots in urn models and covers the Pólya–Eggenberger, Bernard Friedman’s, the Bagchi–Pal, and the Ehrenfest urns. Along with various exercises and solutions, the text presents applications to random trees, evolution, competitive exclusion, epidemiology, clinical trials, and random circuits.
Catalog no. C0335, 2009, 384 pp. ISBN: 978-1-58488-076-9, $89.95 / £54.99
Catalog no. C5983, 2008, 312 pp. ISBN: 978-1-4200-5983-0, $79.95 / £49.99
30
SAVE 15% when you order online at www.crcpress.com
Want to teach a great course on probability?
Catalog no. C7938, January 2010, 465 pp. ISBN: 978-1-4200-7938-8, $89.95 / £57.99
Catalog no. C6521, 2008, 384 pp. ISBN: 978-1-4200-6521-3, $89.95 / £39.99
Catalog no. K10004, January 2010, 232 pp. Soft Cover, ISBN: 978-1-4200-9960-7, $79.95 / £34.99
Catalog no. C8121, 2009, 680 pp. ISBN: 978-1-58488-812-3, $89.95 / £52.99
Improve your odds with textbooks from Chapman & Hall/CRC Visit us at www.crctextbooks.com to order a review copy or to view more information and complete tables of contents for these and many other related books.
SAVE 15%!
Use this Promo Code when ordering to
6000 Broken Sound Parkway, NW, Suite 300 Boca Raton, FL 33487, USA
Page 5
Page 15
For a complete list of Mathematics titles please visit www.crcpress.com
Page 8
Presorted Standard US Postage PAID Permit 382 South Holland IL