Essential Mathematics Books

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Algebra

Handbook of Computational Group Theory

Direct Sum Decompositions of Torsion-Free Finite Rank Groups

Derek F. Holt University of Warwick, Coventry, UK

Bettina Eick Technische Universität, Braunschweig, Germany

Eamonn A. O’Brien University of Auckland, New Zealand

Theodore G. Faticoni Fordham University, Bronx, New York, USA

Examining advanced topics in the direct sum decompositions of abelian groups and their consequences, this book offers a unified approach to theoretic properties. It covers isomorphism, endomorphism, refinement, the Baer splitting property, Gabriel filters, and endomorphism modules. The author makes extensive use of illustrative examples to reinforce the concepts. Catalog no. C7265, 2007, 344 pp. ISBN: 978-1-58488-726-3, $99.95 / £54.99

“This is a book I am very happy to have, both for the choice of content and the quality of exposition. … a very complete and up-to-date review of computational group theory. … All together, the book contains a huge amount of information. …I think every mathematician will want this book on his shelf.” —Mathematics of Computation Catalog no. C3723, 2005, 536 pp. ISBN: 978-1-58488-372-2, $99.95 / £53.99

Applications of Abstract Algebra with Maple and MATLAB® Second Edition

Abstract Algebra

Richard E. Klima Appalachian State University, Boone, North Carolina, USA

Paul B. Garrett University of Minnesota, Minneapolis, USA

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, January 2008, 472 pp. ISBN: 978-1-58488-689-1, $89.95 / £39.99

Handbook of Linear Algebra

Neil P. Sigmon Radford University, Virginia, USA

Ernest L. Stitzinger North Carolina State University, Raleigh, USA

Carefully integrating Maple™ and MATLAB®, this book provides an in-depth introduction to real-world abstract algebraic problems. It examines block designs, coding theory, cryptography, counting techniques, the RSA cryptosystem, digital signatures, primes for security, and the AES. Catalog no. C6102, 2007, 528 pp. ISBN: 978-1-58488-610-5, $94.95 / £41.99

Linear Algebra

Edited by

Leslie Hogben

A Fi rst Course with Applications

Iowa State University, Ames, USA

Larry E. Knop

“… a valuable compendium of information on virtually all aspects of linear algebra and its applications. … This is a Herculean labor of love on the editor’s part, a successful effort that should be appreciated and applauded by anyone working and/or teaching in this important area of mathematics. … Every library that supports mathematics and science departments should have this encyclopedic work on its shelves.” —Henry Ricardo, MAA Reviews, June 2007 Catalog no. C5106, 2007, 1400 pp. ISBN: 978-1-58488-510-8, $119.95 / £68.99

This classroom-tested text explores the fundamental ideas of linear algebra, including vector spaces, subspaces, linear independence, linear transformation, eigenvalues, and eigenvectors, as well as a variety of applications, such as PageRank. It discusses proofs thoroughly to show how to correctly create and write them and offers the option of using computational tools to help solve arduous problems. A solutions manual is available for qualifying instructors. Catalog no. C7826, July 2008, 752 pp. ISBN: 978-1-58488-782-9, $99.95 / £44.99

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Hamilton College, Clinton, New York, USA

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Algebraic Geometry & Number Theory

Matrix Theory From Generalized Inve rses to Jordan Fo rm Robert Piziak and P.L. Odell Baylor University, Waco, Texas, USA

This proven text connects linear algebra concepts to more advanced abstract algebra and matrix theory. It focuses on the development of the Moore–Penrose inverse and uses concrete examples to make arguments clear. The authors provide MATLAB® examples and exercises, homework problems, and suggestions for further reading. The appendices present basic linear algebra topics and related prerequisites. Catalog no. C625, 2007, 568 pp. ISBN: 978-1-58488-625-9, $89.95 / £47.99

Group Representation Theory Edited by

Jacques Thevenaz and Donna Testerman EPFL, Lausanne, Switzerland

Meinolf Geck

Introduction to Number Theory Martin Erickson and Anthony Vazzana Truman State University, Kirksville, Missouri, USA

Highlighting both fundamental and advanced topics, this intro d u ction covers congruences, primes, and Diophantine equations as well as cryptography, elliptic curves, and Hilbert’s tenth problem. It provides Mathematica® and Maple™ calculations, numero u s 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, January 2008, 536 pp. ISBN: 978-1-58488-937-3, $89.95 / £39.99

Noncommutative Geometry and Cayley-smooth Orders Lieven Le Bruyn

Aberdeen University, Scotland

University of Antwerp, Belgium

Leading researchers in the field contribute a chapter in their field of specialty. They cover finite reductive groups and spetses, cohomology and representations of finite groups, representations of Hecke algebras, topics in algebraic groups, fusion systems and blocks, finite subgroups of Lie groups, the classification of endopermutation modules, and rand cohomology of categories. Catalog no. EF9243, 2007, 350 pp. ISBN: 978-0-8493-9243-6, $99.95 / £54.99

This book explains the theory of Cayley-smooth orders in central simple algebras. After an introduction to partial desingularizations of commutative singularities from noncommutative algebras, the author presents the invariant theoretic description of orders and their centers. He also covers étale topology, quivers, semisimple and nilpotent representations, and Quillen-smooth algebras. Catalog no. C6422, January 2008, 592 pp. ISBN: 978-1-4200-6422-3, $99.95 / £54.99

COMING SOON!

Fundamental Number Theory with Applications

Introduction to Abstract Algebra Jonathan D.H. Smith

Second Edition Richard A. Mollin

Iowa State University, Ames, USA

University of Calgary, Alberta, Canada

This book presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It covers semigroups, monoids, groups, rings, integral domains, fields, and nonassociative structures. Each chapter contains a wide range of exercises, notes that point out variations in notation and list the names of mathematicians used in the terminology, and study projects that cover standard applications. Catalog no. C0637, August 2008, 352 pp. ISBN: 978-1-4200-6371-4, $89.95 / £39.99

This edition removes all advanced material to be even more accessible in scope; adds new fundamental material, including partition theory, generating functions, and combinatorial number theory; and expands coverage of random number generation, Diophantine analysis, and additive number theory. It also includes more applications to cryptography, primality testing, and factoring as well as offers a solutions manual for qualifying instructors. Catalog no. C6659, February 2008, 384 pp. ISBN: 978-1-4200-6659-3, $94.95 / £44.99

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Combinatorics & Discrete Mathematics

Handbook of Combinatorial Designs Second Edition Edited by

Algorithmic Combinatorics on Partial Words

Charles J. Colbourn Arizona State University, Phoenix, USA

Jeffrey H. Dinitz University of Vermont, Burlington, USA

Francine Blanchet-Sadri University of North Carolina, Greensboro, USA

This book presents a mathematical treatment of combinatorics on partial words designed around algorithms and explores emerging techniques for solving partial word problems. With pseudocode, worked examples, diagrams, exercises, selected solutions, and web links, it covers periodicity, primitivity, pcodes, binary and ternary correlations, and unavoidable sets of partial words. Catalog no. C6092, January 2008, 392 pp. ISBN: 978-1-4200-6092-8, $89.95 / £48.99

Continuing in the bestselling, informative tradition of its predecessor, this second edition remains the only resource to contain all of the most important results and tables in the area of combinatorial design. The handbook covers the constructions of designs, existence results, properties of designs, and applications of designs. Expanded and updated, it contains new chapters as well as updated tables. Catalog no. C5068, 2007, 1016 pp. ISBN: 978-1-58488-506-1, $129.95 / £74.99

A Combinatorial Approach to Matrix Theory and Its Applications

Handbook of Discrete and Computational Geometry

Richard A. Brualdi

Edited by

University of Wisconsin, Madison, USA

Jacob E. Goodman

Second Edition

Dragos Cvetkovic

City College, New York, New York, USA

Mathematical Institute SANU, Belgrade, Serbia

Joseph O’Rourke

This self-contained reference explores the fundamentals of matrix theory and its applications to science. It develops the theory using graphs to explain the basic matrix construction, formulas, computations, ideas, and results. Containing material rarely found at this level, the book covers Gersgorin’s theorem and extensions, Kronecker product of matrices, sign nonsingular matrices, and evaluation of the permanent. Catalog no. C8223, August 2008, 256 pp. ISBN: 978-1-4200-8223-4, $89.95 / £46.99

“The second edition of this remarkable handbook is 50% larger than the first … clearly written and well-organized … this handbook should be available in research and academic libraries as well as mathematics department libraries.” —E-STREAMS, 2005 Catalog no. C3014, 2004, 1560 pp. ISBN: 978-1-58488-301-2, $139.95 / £73.99

Handbook of Elliptic and Hyperelliptic Curve Cryptography Edited by

Henri Cohen, Gerhard Frey, Roberto Avanzi, Christophe Doche,Tanja Lange, Kim Nguyen, and Frederik Vercauteren “… The chapters are written to be relatively independent so that readers can focus on the part of interest for them. Such readers will be grateful for the excellent index and extensive bibliography. … the handbook covers a wide range of topics and will be a valuable reference for researchers in curve-based cryptography.” —Steven D. Galbraith, Mathematical Reviews, Issue 2007f Catalog no. C5181, 2006, 848 pp. ISBN: 978-1-58488-518-4, $99.95 / £52.99

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Smith College, Northampton, Massachusetts, USA

Combinatorial Methods with Computer Applications Jonathan L. Gross Columbia University, New York, New York, USA

This combinatorics text covers recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. It presents the computer and software algorithms in pseudocode; includes definitions, theorems, proofs, examples, problems, and illustrations; and offers an informational website. Catalog no. C7435, January 2008, 664 pp. ISBN: 978-1-58488-743-0, $99.95 / £44.99

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Handbook of Graph Theory Edited by

Jonathan L. Gross Columbia University, New York, New York, USA

Jay Yellen Rollins College, Winter Park, Florida, USA

“… a fine guide to various literatures, especially for topics like Ramsey theory … . Many first-rate mathematicians have contributed, making the exposition’s quality high overall. … Summing Up: Highly recommended.” —CHOICE, January 2005 Catalog no. 8522, 2004, 1192 pp. ISBN: 978-1-58488-090-5, $129.95 / £67.99

Graph Theory and Its Applications Second Edition Jonathan L. Gross Columbia University, New York, New York, USA

Jay Yellen Rollins College, Winter Park, Florida, USA

“… Notable attractive features of the text are breakout boxes with pseudocode for all significant algorithms (as well as suggestions for specific software implementation), hundreds of examples of graphs carefully integrated with the text, a glossary of terms with each chapter (especially useful in this terminology-heavy field), and a ton of exercises—many with solutions or hints.” —William Satzer, 3M Company Catalog no. C505X, 2006, 800 pp. ISBN: 978-1-58488-505-4, $89.95 / £45.99

Introduction to Modern Cryptography Jonathan Katz University of Maryland, College Park, USA

Yehuda Lindell Bar-Ilan University, Ramat Gan, Israel

“…Readers of this text will learn how to think precisely about the security of protocols against arbitrary attacks … . The book uses just enough formalism to maintain precision and rigor without obscuring the development of ideas. It manages to convey both the theory’s conceptual beauty and its relevance to practice. I plan to use it every time I teach an undergraduate course in cryptography.” —Salil Vadhan, Harvard University, Cambridge, Massachusetts, USA Catalog no. C5513, January 2008, 552 pp. ISBN: 978-1-58488-551-1, $79.95 / £39.99

Graphs, Algorithms, and Optimization William Kocay University of Manitoba, Winnipeg, Canada

Donald L. Kreher Michigan Technological University, Houghton, USA

“The book is written in an easygoing style, and the proofs are concisely presented and easy to follow. … a fine textbook for an undergraduate graph theory course for math majors. … it is well written, the proofs are easy to follow, the figures complement the text, and the exercises are helpful to student understanding …” —MAA Online Catalog no. C3960, 2005, 504 pp. ISBN: 978-1-58488-396-8, $99.95 / £38.99

Handbook of Applied Cryptography Alfred J. Menezes and Scott A.Vanstone University of Waterloo, Ontario, Canada

Paul C. van Oorschot Ottawa, Ontario, Canada

“… an incredible achievement. … If I want to check what problems there were with a proposed system, determine how the variations on a particular algorithm developed, see what research preceded and followed an idea, I go to the handbook. … accurate, clear, and correct information. … If I were limited to only one cryptography text on my shelves, it would be the Handbook of Applied Cryptography.” —Bulletin of the AMS Catalog no. 8523, 1997, 816 pp. ISBN: 978-0-8493-8523-0, $89.95 / £42.99

An Introduction to Cryptography Second Edition Richard A. Mollin University of Calgary, Alberta, Canada

This edition includes two new chapters on current and future applications that cover topics, such as email, Internet security, protocol layers and SSL, firewalls, client-server model and cookies, network security, wireless security, smart cards, and biometrics. It also provides additional information on cryptanalysis, primality testing, DES, and primitive roots. A solutions manual is available for qualifying instructors. Catalog no. C6188, September 2006, 413 pp. ISBN: 978-1-58488-618-1, $79.95 / £39.99

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Codes

Elliptic Curves

The Guide to Secrecy From Ancient to Modern Times

Number Theory and Cryptography, Second Edition

Richard A. Mollin

Lawrence C.Washington

University of Calgary, Alberta, Canada

University of Maryland, College Park, USA

“… full of engaging detail on the many personalities that have been drawn to this branch of applied mathematics. … a self-contained guide to the subject covering material from basic arithmetic to the foundations of group theory and probability. … Among books at the level, this one stands out for some of its vivid examples. …” —MAA Reviews, December 2005 Catalog no. C4703, 2005, 704 pp. ISBN: 978-1-58488-470-5, $84.95 / £42.99

This second edition 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. Catalog no. C7146, April 2008, 536 pp. ISBN: 978-1-4200-7146-7, $89.95 / £49.99

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Cryptography

Chromatic Graph Theory

Theory and Practice, Third Edition

Gary Chartrand and Ping Zhang

Douglas R. Stinson University of Waterloo, Ontario, Canada

This authoritative text continues to provide a solid foundation for future work in cryptography. This edition updates relevant chapters with the latest advances and includes seven additional chapters covering pseudorandom bit generation, entity authentication, key establishment, public key infrastructure, secret sharing schemes, and multicast security. Catalog no. C5084, 2006, 616 pp. ISBN: 978-1-58488-508-5, $69.95 / £39.99

COMING SOON!

Introduction to Combinatorial Designs

Design Theory Second Edition

Second Edition

Charles C. Lindner and Christopher A. Rodger

W.D.Wallis

Auburn University, Alabama, USA

Southern Illinois University, Carbondale, USA

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 includes instructive examples and theorems as well as numerous exercises and solutions. Catalog no. C8385, 2007, 328 pp. ISBN: 978-1-58488-838-3, $89.95 / £47.99

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Western Michigan University, Kalamazoo, USA

This book introduces graph theory with a coloring theme. It 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. Each chapter contains many exercises of varying levels of difficulty. The text also provides an appendix of suggestions for study projects. Catalog no. C8008, September 2008, 352 pp. ISBN: 978-1-58488-800-0, $89.95 / £46.99

Examining some of the most important techniques used for constructing combinatorial designs, this edition adds material on embedding designs, algorithms for producing disjoint designs, and algebraic connections between quasigroups and graph decompositions. It also includes several more complicated structures, such as Steiner quadruple systems. The text is supplemented with problem sets and examples. Catalog no. C2965, November 2008, 256 pp. ISBN: 978-1-4200-8296-8, $89.95 / £46.99

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Differential Equations & Nonlinearity

Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures Elias Camouzis American College of Greece, Aghia Paraskevi

Gerasimos Ladas University of Rhode Island, Kingston, USA

This book focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions. It presents known results and/or derives new results for each of the 225 special cases of third order rational difference equations. Catalog no. C7656, January 2008, 576 pp. ISBN: 978-1-58488-765-2, $109.95 / £59.99

An Introduction to Partial Differential Equations with MATLAB® Matthew P. Coleman Fairfield University, Connecticut, USA

This introduction presents essential PDE concepts, including Fourier series, integral transforms, and Green’s functions. The author introduces many important PDEs via their physical applications, offers a prelude to each chapter that describes topics covered and places material in historical context, and uses MATLAB® software to solve exercises and generate tables and figures. Catalog no. C3731, 2005, 688 pp. ISBN: 978-1-58488-373-9, $99.95 / £38.99

Ordinary Differential Equations Stochastic Partial Differential Equations Pao-Liu Chow Wayne State University, Detroit, Michigan, USA

This book includes many challenging problems in stochastic analysis and treats stochastic PDEs in a practical way. The author first brings the subject back to its root in classical concrete problems. He then discusses a unified theory of stochastic evolution equations and describes several applied problems. The book concludes by pointing out the connection of stochastic PDEs to infinite-dimensional stochastic analysis. Catalog no. C4436, 2007, 281 pp. ISBN: 978-1-58488-443-9, $79.95 / £42.99

Discrete and Continuous Fourier Transforms Analysis, Applications and Fast Algorithms Eleanor Chu University of Guelph, Ontario, Canada

This 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. The text provides numerous graphical illustrations and worked examples supported by numerical results using MATLAB®. Catalog no. C6363, March 2008, 424 pp. ISBN: 978-1-4200-6363-9, $89.95 / £46.99

Introduction and Qualitative Theory, Third Edition Jane Cronin Highland Park, New Jersey, USA

Exploring the qualitative aspects of periodic solutions of ODEs, this edition extends the treatment of two-dimensional systems as well as periodic solutions in small parameter problems. With examples and exercises, it covers existence theorems, Bendixson theory, the Poincaré method, bifurcation, topological degree, and the averaging method. A solutions manual is available for qualifying instructors. Catalog no. DK2992, January 2008, 408 pp. ISBN: 978-0-8247-2337-8, $89.95 / £44.99

Mixed Boundary Value Problems Dean G. Duffy Former Instructor, US Naval Academy, Annapolis, Maryland, USA

This book presents techniques, such as transform methods and Green’s function, necessary to solve mixed boundary value problems found in many scientific and engineering areas, including elasticity and biomechanics. It uses MATLAB® to illustrate the solutions and contains the code so readers can reproduce some of the examples. Catalog no. C5793, March 2008, 488 pp. ISBN: 978-1-58488-579-5, $99.95 / £52.99

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Discrete Chaos

A Course in Ordinary Differential Equations

With Applications in Science and Engineering, Second Edition

Randall J. Swift

Saber N. Elaydi

Stephen A.Wirkus

California State Polytechnic University, Pomona, USA

Trinity University, San Antonio, Texas, USA

Arizona State University, Glendale, USA

“… an excellent introduction to this new, and potentially revolutionary, territory. It will take the reader, with clarity and precision, from simple beginnings with 1-dimensional difference equations, … on to 2- and 3-dimensional systems, and beyond this to fractals and relationships between geometry and dynamics. The final chapter deals with the Julia and Mandelbrot sets, where in my opinion mathematical elegance and pure aesthetic beauty begin to merge.” —Lord Robert M. May, Department of Zoology, University of Oxford, UK Catalog no. C5920, January 2008, 440 pp. ISBN: 978-1-58488-592-4, $79.95 / £34.99

“… the exposition is richly accompanied by computer algebra code (equally distributed between MAT L A B , Mathematica, and Maple). The major part of the book is devoted to classical theory … More advanced topics include numerical methods, stability of equilibria, bifurcations, Laplace transforms, and the power series method. …” —EMS Newsletter, June 2007 Catalog no. C4762, 2007, 688 pp. ISBN: 978-1-58488-476-7, $94.95 / £41.99

COMING SOON!

Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications

Modelling with Case Studies A Differential Equations Approach using Maple and MATLAB, Second Edition Belinda Barnes

Janusz Mierczynski

Australian National University, Canberra

Wroclaw University, Poland

Glenn R. Fulford

Wenxian Shen Auburn University, Alabama, USA

University of Technology, Brisbane, Australia

This work 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, March 2008, 336 pp. ISBN: 978-1-58488-895-6, $89.95 / £46.99

For students of applied mathematics, this textbook provides an introduction to the modeling process and its numerous applications at an elementary level. For students from other disciplines, it pre sents the mathematical basis to encourage a better understanding and analysis of the models they may use. All students gain confidence with a range of analytical tools, including Maple™ and MATLAB®. Introductions to these software programs can be found in the appendices and the codes are available for download online. Catalog no. C8348, December 2008, 506 pp. ISBN: 978-1-4200-8348-4, $79.95 / £29.99

Algorithmic Lie Theory for Solving Ordinary Differential Equations

COMING SOON!

Fritz Schwarz Fraunhofer Gesellschaft, Sankt Augustin, Germany

This book illustrates how to solve differential equations using Lie’s theory and related results. It covers Loewy’s theory, Janet bases, and equivalence problems. The book also identifies the symmetry classes of quasilinear equations and transforms these equations to canonical form. The appendices include solutions to selected exercises and useful formulae while a website contains the software for performing lengthy algebraic calculations. Catalog no. C889X, January 2008, 448 pp. ISBN: 978-1-58488-889-5, $89.95 / £48.99

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Asymptotics and Borel Summability Ovidiu Costin Ohio State University, Columbus, USA

Offering a complete treatment of asymptotics, including exponential asymptotics and generalized Borel summability, this work provides a rigorous theoretical basis and explores applications to various problems in ODEs, PDEs, and difference equations. The book includes exercises and open problems for future research. Catalog no. C7031, September 2008, 256 pp. ISBN: 978-1-4200-7031-6, $89.95 / £46.99

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COMING SOON!

Difference Methods for Singular Perturbation Problems

Modern Differential Geometry of Curves and Surfaces with Mathematica®

Grigory I. Shishkin

Third Edition

Russian Academy of Science, Ekaterinburg

Alfred Gray

Providing reference material previously only available in Russian, this book brings readers up-to-date in numerical and computational methods for analyzing convection-diffusion, boundary element, and fluid dynamics problems where the singular properties of a solution mean that smoothness is limited and therefore traditional methods do not apply. It also contains an overview of recent advances in the field. Catalog no. C4592, August 2008, 424 pp. ISBN: 978-1-58488-459-0, $119.95 / £62.99

COMING SOON!

Chaotic Modeling and Simulation

University of Maryland, College Park, USA

Elsa Abbena University of Turin, Italy

Simon Salamon Polytechnic University of Turin, Italy

“…an outstanding, comprehensive presentation of both theoretical and computational aspects … There are hundreds of illustrations that help the reader visualize the concepts. … It is a nicely written book, strongly recommended to all with an interest in differential geometry, its computational aspects, and related fields.” —EMS Newsletter, June 2007 Catalog no. C4487, 2006, 1016 pp. ISBN: 978-1-58488-448-4, $94.95 / £41.99

Analysis of Chaotic Models, Attractors and Fo rm s Christos H. Skiadas Technical University of Crete, Greece

Charilaos Skiadas Hanover College, Indiana, USA

Augmented with over 500 graphs and illustrations, this book broaches the vast and daunting subject of chaos from a modeling and simulations perspective. It covers existing models, attractors, and forms in chaos. A detailed appendix provides the code needed to produce the models via several programs. The authors include exercises, definitions, theorems, and proofs, along with access to video examples and simulation tools. Catalog no. C7900, October 2008, 406 pp. ISBN: 978-1-4200-7900-5, $89.95 / £46.99

Geometry & Topology

Handbook of Finite Translation Planes Norman Johnson University of Iowa, Iowa City, USA

Vikram Jha Caledonian University, Glasgow, Scotland

Mauro Biliotti University of Leece, Italy

This handbook presents the classification results and proofs for translation planes, offers a full review of all recognized construction techniques for translation planes, and illustrates known examples. As a compendium of examples, processes, construction techniques, and models, it describes derivable nets, parallelisms, translation nets and planes, spreads, classes, and various geometries intrinsic to translation planes. Catalog no. C6056, 2007, 888 pp. ISBN: 978-1-58488-605-1, $99.95 / £54.99

Differential Geometry and Topology With a View to Dynamical Systems Keith Burns Northwestern University, Evanston, Illinois, USA

Marian Gidea Northeastern Illinois University, Chicago, USA

“The authors introduce important concepts by means of intuitive discussions and suggestive examples and follow them with significant applications, especially those related to dynamics. …The authors have succeeded in the integration of geometric theory, topological theory, and concrete applications to dynamical systems.” —Andrew Bucki, Mathematical Reviews Catalog no. C2530, 2005, 400 pp. ISBN: 978-1-58488-253-4, $99.95 / £48.99

Virtual Topology and Functor Geometry Fred Van Oystaeyen University of Antwerp, Belgium

This work explores new aspects of virtual topology and functor geometry as well as more established facets of noncommutative algebra. With project ideas ranging from straightforward exercises to advanced research level, it covers category theory, noncommutative spaces, “affine open,” Grothendieck categorical representations, and a dynamical version of topology and sheaf theory. Catalog no. C0562, January 2008, 168 pp., Soft Cover ISBN: 978-1-4200-6056-0, $99.95 / £54.99

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General References & Introductory Textbooks

The Shape of Space

Math and Art

Second Edition Jeffrey R.Weeks

An Introduction to Visual Mathematics

Churches of Canton, Inc., New York, USA

Sasho Kalajdzievski University of Manitoba, Winnipeg, Canada

Exploring the potential of mathematics to generate visually appealing objects, this text covers fundamental Euclidean geometry, tilings, fractals, hyperbolic geometry, platonic solids, and topology. With color figures and animations on an accompanying CDROM, plus a 16-page color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art. Catalog no. C9136, June 2008, 280 pp., Soft Cover ISBN: 978-1-58488-913-7, $59.95 / £31.99

Pocket Book of Integrals and Mathematical Formulas 4th Edition

Bridging the gap between geometry and observational cosmology, this book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe. Written by a master expositor and leading researcher, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Catalog no. DK1919, 2002, 408 pp. ISBN: 978-0-8247-0709-5, $34.95 / £19.99

CRC Standard Mathematical Tables and Formulae 31st Edition Daniel Zwillinger

Ronald J.Tallarida

Rensselaer Polytechnic Institute, Troy, New York, USA

Temple University, Philadelphia, Pennsylvania, USA

“… the new and improved bible of mathematics. … containing more than 30 new sections, covering more than 3,000 items, and including tables, properties, etc. The index has been revamped to make it faster and easier to find results. Author Daniel Zwillinger has done an excellent job keeping the same successful format that has characterized earlier editions of the handbook. … an absolute must-have desk reference. …” —John Vacca, former computer security official for NASA’s space station program (Freedom), The Barnes & Noble Review Catalog no. C2913, 2003, 928 pp. ISBN: 978-1-58488-291-6, $59.95 / £31.99

Maintaining its accessible style and portable size, this fourth edition presents many numerical and statistical tables, worked examples, and the most useful mathematical formulas for engineering and scientific applications. This edition includes an expanded chapter on series, new applications, an expanded statistics section, and a revised format of the table of integrals. Catalog no. C6304, April 2008, 288 pp. Soft Cover, ISBN: 978-1-4200-6304-2, $24.95 / £12.99

A Primer on Wavelets and Their Scientific Applications

COMING SOON!

Second Edition

Invariant Descriptive Set Theory

James S.Walker

Su Gao

University of Wisconsin, Eau Claire, USA

University of North Texas, Denton, USA

This edition includes new sections on biorthogonal wavelets, the JPEG200 image compression standard, spectrograms, analyzing speech and music with spectrograms, wavelet-based denoising of images, and thresholding spectrograms for denoising. It offers downloadable software that permits recording, playing, and modifying sound files using wavelet techniques, plus a facility for displaying, printing, and modifying standard IEEE gray field images. Catalog no. C7451, January 2008, 320 pp., Soft Cover ISBN: 978-1-58488-745-4, $44.95 / £23.99

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After a brief review of the classical descriptive theoretical results that are employed throughout the text, this book discusses in detail the theory of Polish group actions and orbit equivalence relations. It also addresses definable, nonorbit equivalence relations and explores connections between different fields of mathematics. The final section presents applications to classification problems. Catalog no. C7931, September 2008, 392 pp. ISBN: 978-1-58488-793-5, $89.95 / £46.99

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Numerical Analysis & Computation

Computing with hp-ADAPTIVE FINITE ELEMENTS

Numerical Linear Approximation in C

Volume 1: One and Two Dimensional Elliptic and Maxwell Problems

Nabih N.Abdelmalek

Leszek F. Demkowicz

National Research Council of Canada, Ottawa, Ontario (retired)

William A. Malek Nortel Networks, Canada

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. 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. Catalog no. C9780, May 2008, 968 pp. ISBN: 978-1-58488-978-6, $109.95 / £57.99

University of Texas, Austin, USA

This self-contained reference describes finite codes and automatic hp-adaptivity strategies designed to deliver meshes in the full range of error levels. It examines 1D and 2D elliptic problems, geometric modeling and mesh generation, and 2D time-harmonic Maxwell equations. A CD-ROM with 1D and 2D codes is also included. Catalog no. C6714, 2007, 398 pp. ISBN: 978-1-58488-671-6, $94.95 / £49.99

Computing with hp-ADAPTIVE FINITE ELEMENTS Parallel Iterative Algorithms From Sequential to Grid Computing Jacques M. Bahi, Sylvain Contassot-Vivier, and Raphaël Couturier University of Franche-Comte, Belfort, France

This work presents the theoretical and practical aspects of parallel numerical algorithms. It reviews basic convergence results of iterative algorithms, explores the advantages of asynchronism, and analyzes numerous experiments in various computational contexts for numerical problems. The book contains several exercises at the end of most chapters and an appendix of mathematical results. Catalog no. C808X, January 2008, 240 pp. ISBN: 978-1-58488-808-6, $89.95 / £48.99

Parallel Algorithms Henri Casanova University of Hawaii, Honolulu, USA

Arnaud Legrand ENSIMAG, Montbonnot Saint Martin, France

Volume II Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications Leszek F. Demkowicz, Jason Kurtz, David Pardo, Maciek Paszenski, Waldemar Rachowicz, and Adam Zdunek This book presents the foundations of the 3D hp algorithm and provides numerical results using the 3Dhp code. It focuses on the 3D theory of hp methods as well as issues regarding implementation of the code. The book also explores several recent applications in which the 3Dhp code was used. Catalog no. C6722, January 2008, 440 pp. ISBN: 978-1-58488-672-3, $94.95 / £49.99

Effective Computational Methods for Wave Propagation Edited by

Nikolaos A. Kampanis,Vassilios A. Dougalis, and John A. Ekaterinaris

Yves Robert

FORTH/IACM, Heraklion, Crete, Greece

École Normale Supérieure de Lyon, France

This volume presents modern computational methods used to describe wave propagation phenomena in physics and technology. It 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, February 2008, 712 pp. ISBN: 978-1-58488-568-9, $129.95 / £71.99

With examples and practice exercises in each chapter, this text presents a rigorous yet accessible treatment of theoretical models of parallel computation, parallel algorithm design, and complexity and performance analysis. It focuses on algorithms for distributedmemory parallel architectures, new metrics of performance, online scheduling problems, and multi-criteria scheduling. Catalog no. C9454, August 2008, 376 pp. ISBN: 978-1-58488-945-8, $79.95 / £39.99

For more information and a complete listing of titles, visit us at www.crcpress.com

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Grid Resource Management

An Introduction to Numerical Methods

Toward Vi rtual and Services Compliant Grid Computing

A MATLAB® Approach, Second Edition

Frederic Magoules,Thi-Mai-Huong Nguyen, and Lei Yu

Abdelwahab Kharab King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia

École Centrale Paris, Chatenay Malabry, France

Ronald B. Guenther Oregon State University, Corvallis, USA

Updated to reflect the latest version of MATLAB®, this second edition introduces the theory and applications of the most commonly used techniques for solving numerical problems on a computer. It covers a wide range of useful algorithms and includes a CDROM containing simple MATLAB functions. A solutions manual is available for qualifying instructors. Catalog no. C5572, 2006, 624 pp. ISBN: 978-1-58488-557-3, $89.95 / £37.99

This volume explains how grid computing can provide transparent access to resources with minimal impact on the applications from the grid’s internal management mechanism and looks at how this ability enhances the execution of data-intensive applications. It introduces a new virtual file system for the grid environment and offers a novel framework for wrapping and deploying scientific applications in web services resources. Catalog no. C7404, October 2008, 320 pp. ISBN: 978-1-4200-7404-8, $79.95 / £41.99

Introduction to Grid Computing A Java Library of Graph Algorithms and Optimization Hang T. Lau McGill University, Montreal, Quebec, Canada

This book provides the source code for a library of Java programs that can be used to solve problems in graph theory and combinatorial optimization. Each topic starts with a problem description and an outline of the solution procedure, followed by its parameter list specification, source code, and a test example that illustrates the usage of the code. An accompanying CD-ROM contains all of the Java code included in the book. Catalog no. C7184, 2007, 386 pp. ISBN: 978-1-58488-718-8, $99.95 / £56.99

Computational Methods of Feature Selection Edited by

École Centrale Paris, Chatenay Malabry, France

Kiat-An Tan National University of Singapore

Abhinit Kumar Indian Institute of Technology, Gwalior

This introduction concentrates on fundamental aspects, including grid security, data management, and scheduling. It includes a stepby-step framework for putting scientific applications on the grid, details actual projects, and explores the most popular middleware options. Each chapter presents concepts from both a computer scientist’s and engineer’s point of view. Catalog no. C7406, September 2008, 320 pp. ISBN: 978-1-4200-7406-2, $79.95 / £41.99

Handbook of Parallel Computing Models, Algorithms and Applications Edited by

Huan Liu

Sanguthevar Rajasekaran

Arizona State University, Tempe, USA

University of Connecticut, Storrs, USA

Hiroshi Motoda

John Reif

AFOSR/AOARD, Tokyo, Japan

This volume introduces the basic concepts and principles, state-ofthe-art algorithms, and inventive applications of feature selection. It chronicles the novel developments of feature selection that have emerged in recent years, such as Relief, and contains real-world case studies from various areas, including text classification, web mining, and bioinformatics. Catalog no. C8784, January 2008, 440 pp. ISBN: 978-1-58488-878-9, $89.95 / £48.99

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Duke University, Durham, North Carolina, USA

This volume provides an up-to-date assessment of the models and algorithms involved in applying parallel computing to a variety of fields. It reviews recent advances, such as membrane computing and the new releases of the LAPACK and ScaLAPACK libraries. The book also presents numerous ways to tackle a range of parallel computing problems. Catalog no. C6234, January 2008, 1224 pp. ISBN: 978-1-58488-623-5, $139.95 / £76.99

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Isometries in Banach Spaces C++ for Mathematicians

Vector-Valued Function Spaces and Operator Spaces, Volume Two

An Introduction for Students and Professionals

Richard J. Fleming

Edward Scheinerman

James E. Jamison

Central Michigan University, Mount Pleasant, USA

Johns Hopkins University, Baltimore, Maryland, USA

University of Memphis, Tennessee, USA

“… The strength of this book is the intermingling of intere s ting mathematics with the ideas and syntax of the C++ language. … The writing is very fluent and does not bog down in endless detail as so many programming books do … I re commend this book highly to frustrated mathematicians wishing to learn C++ programming. You will really enjoy the well-chosen examples and the light touch in the exposition.” —Jeffrey Nunemacher, MAA Reviews Catalog no. C584X, 2006, 520 pp., Soft Cover ISBN: 978-1-58488-584-9, $64.95 / £33.99

A continuation of the authors’ previous book, this one covers much of the work that has been done on characterizing isometries on various Banach spaces. It reports on the results of pertinent original research papers, offers some enlightening clarifications, and includes notes and remarks that touch upon related results and other approaches not addressed in the main discussions. Catalog no. C3863, November 2007, 248 pp. ISBN: 978-1-58488-386-9, $99.95 / £54.99

Understanding Complex Datasets Data Mining with M a t rix Decompositions David Skillicorn Queen’s University, Kingston, Ontario, Canada

“… suffused with insightful suggestions for analytical methods and interpretations, drawn from the author’s own research and his reading of the literature. … [It] assembles and explains a diverse set of insights that are otherwise widely scattered in the literature. This alone makes the book an important contribution to the community.” —Bruce Hendrickson, Sandia National Laboratories, Albuquerque, New Mexico, USA Catalog no. C8326, 2007, 260 pp. ISBN: 978-1-58488-832-1, $69.95 / £37.99

Complex Variables A Physical Approach with Applications and MATLAB Steven G. Krantz Washington University, St. Louis, Missouri, USA

This text explores all facets of complex variables, with particular emphasis on using theory in practice. It presents complex analysis as a natural continuation of calculus and integrates MATLAB® exercises and examples throughout. The book features applications from physics and engineering in each chapter and contains stimulating exercises at the drill, theory, and exploration levels. Catalog no. C5807, January 2008, 440 pp. ISBN: 978-1-58488-580-1, $99.95 / £39.99

Real, Complex, & Functional Analysis

Handbook of Special Functions D e ri vatives, I n t e grals, S e ries and Other Formulas Yury A. Brychkov

Real Analysis and Foundations Second Edition Steven G. Krantz

Dorodricyn Computing Center, Moscow, Russia

Washington University, St. Louis, Missouri, USA

Providing in-depth coverage of special functions, this book 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. It also discusses formulas of connection and conversion for elementary and special functions, such as hypergeometric and Meijer G functions. Catalog no. C956X, May 2008, 704 pp. ISBN: 978-1-58488-956-4, $99.95 / £52.99

“The book contains many well-chosen examples and each of the fifteen chapters is followed by almost 500 exercises. … Illustrative pictures are instructive and the design of the book makes reading it a real pleasure. The book can be recommended for university libraries, teachers, and students.” —EMS Newsletter, December 2005 Catalog no. C4835, 2005, 472 pp. ISBN: 978-1-58488-483-5, $99.95 / £43.99

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Mathematics for Biology & Medicine

Fundamentals of Natural Computing An Introduction to Systems Biology

Basic Concepts, Algorithms, and Applications Leandro Nunes de Castro

Design Principles of B i o l o gical Circuits

Catholic University of Santos, Brazil

Uri Alon Harvard Medical School, Boston, Massachusetts, USA

“… a superb, beautifully written and organized work that takes an engineering approach to systems biology … provides nicely written appendices to explain the basic mathematical and biological concepts clearly and succinctly without interfering with the main text. … will be valuable … to a systems-biology curriculum.” —Eric Werner (University of Oxford), Nature, March 2007 Catalog no. C6420, 2007, 320 pp., Soft Cover ISBN: 978-1-58488-642-6, $54.95 / £30.99

This work presents theoretical and philosophical discussions, pseudocodes for algorithms, and computing paradigms that illustrate how natural computing can develop new computational tools for problem solving, synthesize natural patterns and behaviors in computers, and potentially design novel types of computers. Building progressively on core concepts, the book features numerous figures, tables, examples, and exercises. Catalog no. C6439, 2006, 696 pp. ISBN: 978-1-58488-643-3, $89.95 / £45.99

Optimal Control Applied to Biological Models

Handbook of Computational Molecular Biology

Suzanne Lenhart University of Tennessee, Knoxville, USA

John T.Workman Cornell University, Ithaca, New York, USA

Edited by

Srinivas Aluru Iowa State University, Ames, USA

“The material is well organized and documented, with good presentation and special care on typography. It is highly recommended for any researcher or graduate student interested in an insight into computational biology deeper than the practical use as ‘black boxes’ of computer programs or web servers.” —Arturo Rojo-Dominguez, Bulletin of Mathematical Biology, 2007 Catalog no. C061, 2006, 1104 pp. ISBN: 978-1-58488-406-4, $139.95 / £73.99

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. Catalog no. C6404, 2007, 280 pp. ISBN: 978-1-58488-640-2, $89.95 / £47.99

Spatiotemporal Patterns in Ecology and Epidemiology Theory, Models, and Simulation

Structural Bioinformatics

Horst Malchow

An Algo rithmic Approach

Sergei V. Petrovskii

Forbes J. Burkowski

Ezio Venturino

University of Osnabrueck, Germany University of Leicester, UK

University of Waterloo, Ontario, Canada

Università degli Studi di Torino, Italy

This book presents key algorithms—some developed within the artificial intelligence community—and their applications to problems in structural biology and drug discovery, in particular, to structure alignment, comparison, classification, conformation, flexibility, and drug docking with proteins. Chapters are organized so that material stresses either algorithms or biology but not both simultaneously. Catalog no. C6838, October 2008, 356 pp. ISBN: 978-1-58488-683-9, $79.95 / £39.99

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With a CD-ROM of MATLAB® code examples, this resource shows that mathematical modeling and numerical simulations are effective tools in studying population ecology and epidemiology. Encompassing both deterministic and stochastic approaches, it covers ecoepidemiological models that combine the basic interspecies interactions of population dynamics and the impact of an infectious disease. Catalog no. C6749, January 2008, 464 pp. ISBN: 978-1-58488-674-7, $89.95 / £48.99

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Mathematics for Engineering

Kinetic Modelling in Systems Biology Oleg Demin Moscow State University, Russia

Igor Goryanin University of Edinburgh, Scotland

Providing a comprehensive overview of traditional and modern techniques in computational systems biology, this work offers a systematic presentation of the principles and algorithms guiding this process. With an accompanying CD-ROM of tables, illustrations, and other supporting materials, it demonstrates how to integrate techniques that enable the collection, modeling, simulation, analysis, and hypothesis of temporal data. Catalog no. C6676, October 2008, 352 pp. ISBN: 978-1-58488-667-9, $79.95 / £41.99

Pattern Discovery in Bioinformatics Theory & Algorithms Laxmi Parida IBM TJ Watson Research Center, Yorktown Heights, New York, USA

“… In contrast to some books that present computational biology as a combination of a BLAST user manual and storytelling, Laxmi Parida’s new book makes the crucial point that most bioinformatics success stories require algorithmic and statistical ingenuity. It is a comprehensive and excellent book on the subject and I recommend it to everyone who has an interest in bioinformatics.” —Pavel Pevzner, Ronald R. Taylor Professor of Computer Science, University of California, San Diego, USA Catalog no. C5491, January 2008, 512 pp. ISBN: 978-1-58488-549-8, $79.95 / £42.99

Stochastic Modelling for Systems Biology

Introduction to Quantum Control and Dynamics Domenico D’Alessandro Iowa State University, Ames, USA

This book presents the mathematical concepts and fundamental physics behind the analysis and control of quantum dynamics, emphasizing the application of Lie algebra and Lie group theory. It introduces the basics of quantum mechanics, uses a particular class of quantum control models to describe experimental situations, explores numerous optimal control design strategies, and presents several applications of quantum control and dynamics. Catalog no. C8849, January 2008, 360 pp. ISBN: 978-1-58488-884-0, $89.95 / £48.99

Mathematical Models for Systems Reliability Benjamin Epstein and Ishay Weissman William Davidson Faculty of Industrial Engineering & Management, Haifa, Israel

Evolved from the lectures of a recognized pioneer in developing the theory of reliability, this text rigorously covers the required probability background for understanding reliability theory. With numerous examples and exercises, it shows how certain techniques can be applied to a range of reliability problems. The book explores statistical estimation theory, measures of system effectiveness, general continuous-time Markov chains, and more. Catalog no. C0822, May 2008, 272 pp. ISBN: 978-1-4200-8082-7, $79.95 / £41.99

Handbook of Dynamic System Modeling Edited by

Paul A. Fishwick

Darren J.Wilkinson

University of Florida, Gainesville, USA

Newcastle University, UK

With mathematical descriptions, pseudocode, and diagrams in each chapter, this interdisciplinary handbook explores various types of modeling methods available for dynamical systems. It presents the fundamentals of dynamic models; explains modeling methodologies; addresses scale, heterogeneity, and composition issues; and covers specific model types. It also illustrates how Modelica and Simulink® can construct, simulate, and analyze dynamic models. Catalog no. C5653, 2007, 760 pp. ISBN: 978-1-58488-565-8, $109.95 / £59.99

Focusing on computer simulation, this book is an accessible introduction to stochastic modeling using examples that are familiar to systems biology researchers. The author examines the use of stochastic processes for modeling biological systems. Along with the latest simulation techniques and research material, such as parameter inference, the text includes many examples and figures as well as software code in R for various applications. Catalog no. C5408, 2006, 280 pp. ISBN: 978-1-58488-540-5, $84.95 / £44.99

For more information and a complete listing of titles, visit us at www.crcpress.com

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COMING SOON!

Practical MATLAB for Engineers

Radar Signal Analysis and Processing Using MATLAB®

Two-Volume Set Misza Kalechman City University of New York, Brooklyn, USA

Bassem R. Mahafza deciBel Research Inc., Huntsville, Alabama, USA

Offering radar-related software for the analysis and design of radar waveform and signal processing, this book provides comprehensive coverage of radar signals and signal processing techniques and algorithms. It contains numerous graphical plots, common radar-related functions, table format outputs, and end-of-chapter problems. The complete set of MATLAB® functions and routines are available for download online. Catalog no. C6643, August 2008, 496 pp. ISBN: 978-1-4200-6643-2, $99.95 / £52.99

Multi-Resolution Methods for Modeling and Control of Dynamical Systems John L. Junkins Texas A&M University, College Station, USA

Puneet Singla University at Buffalo, New York, USA

With MATLAB® code throughout, this book discusses the underlying principles of input/output data approximation and issues associated with modeling large-scale dynamical systems. Integrating dynamical systems, estimation, optimization, and approximation theory, it applies numerous techniques that cover classical finite element methods, adaptive control, and neural networks. Catalog no. C7699, July 2008, 312 pp. ISBN: 978-1-58488-769-0, $119.95 / £62.99

This comprehensive and accessible primer immerses engineers and engineering students in essential technical skills that allow them to put MATLAB® to immediate use. The first volume covers functions, algebra, geometry, arrays, vectors, matrices, trigonometry, graphs, precalculus, and calculus. It then delves into the MATLAB language, exploring syntax rules, notation, operations, computational programming, and general problem solving in the areas of applied mathematics and general physics. The second volume covers the material encountered in the typical engineering and technology programs at most colleges. It illustrates the direct connection between theory and real applications. Each chapter reviews basic concepts and then explores those concepts with a number of worked-out examples.

Practical MATLAB Basics for Engineers CONTENTS Trends, the Industry and MATLAB Getting started Matrices, Arrays, Vectors and Sets Trigonometric, exponential and special functions Printing and plotting Complex numbers Polynomials and Calculus, a numerical and symbolic approach Decisions and relations Files and performance analysis Catalog no. 47744, July 2008, 720 pp. ISBN: 978-1-4200-4774-5, $69.95 / £29.99

Practical MATLAB Applications for Engineers CONTENTS

Microstructural Randomness and Scaling in Mechanics of Materials

Time Domain Representation of Analog and Discrete Signals DC and Transient Analysis AC Analysis Fourier and Laplace DFT, DTFF, FFT, and Z Filters: Analog and digital Catalog no. 47760, July 2008, c 704 pp. ISBN: 978-1-4200-4776-9, $69.95 / £29.99

Martin Ostoja-Starzewski University of Illinois, Urbana, USA

This book presents basic coverage of random fields and geometry and introduces the general field of statistical continuum mechanics. It also covers lattice models, stress invariance in planar elasticity, waves, and mesoscale bounds in elastic and inelastic random media. The book includes applications from engineering and science as well as numerous problems at the end of the first six chapters. Catalog no. C4174, January 2008, 352 pp. ISBN: 978-1-58488-417-0, $99.95 / £54.99

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Practical MATLAB for Engineers Two-Volume Set Catalog no. 47736, July 2008. ISBN: 978-1-4200-4773-8

$99.95 / £39.99

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Handbook of Integral Equations Second Edition Andrei D. Polyanin and Alexander V. Manzhirov Russian Academy of Sciences, Moscow

With over 2,500 integral equations with solutions, including over 400 new equations, this edition features new chapters on mixed multidimensional equations and methods of integral equations for ODEs and PDEs. It also presents new material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions. Catalog no. C5076, February 2008, 1144 pp. ISBN: 978-1-58488-507-8, $129.95 / £67.99

Handbook of Mathematics for Engineers and Scientists Andrei D. Polyanin and Alexander V. Manzhirov Russian Academy of Sciences, Moscow

Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. It contains numerous examples, graphs, figures, and diagrams as well as presents many results in tabular form. Catalog no. C5025, 2007, 1544 pp. ISBN: 978-1-58488-502-3, $99.95 / £56.99

MATLAB and C Programming for Treffitz Finite Element Methods Qinghua Qin Australian National University, Acton

Hui Wang Henan University of Technology, Zhengzhou City, People’s Republic of China

After supplying a concise review of the methods involved, this text uses worked examples to demonstrate how methods can be employed across a number of disciplines. The accompanying CDROM provides readers with the codes and files in C and MATLAB® needed to work applications and solve real-life problems. Catalog no. C7275, July 2008, 464 pp. ISBN: 978-1-4200-7275-4, $89.95 / £46.99

Applied Vector Analysis Second Edition Matiur Rahman Dalhousie University, Halifax, Nova Scotia, Canada

Isaac Mulolani Qatar University, Doha

Suitable for a one-semester course, this second edition illustrates the applications of vector calculus to physical problems. It features new and updated material, additional worked-out problems and exercises in every chapter, and a new solutions manual in the appendix. Catalog no. 51709, January 2008, 376 pp. ISBN: 978-1-4200-5170-4, $99.95 / £44.99

A Guide to MATLAB® Object-Oriented Programming Andy H. Register Georgia Tech Research, Smyrna, USA

This book aids readers in creating effective object-oriented software using MATLAB®. It is the first book to deliver broad coverage of the documented and undocumented object-oriented features of MATLAB. The book discusses eight basic functions, explores inheritance topics, presents the Class Wizard, and delves into advanced strategies, including containers, static variables, and function fronts. It also includes a CD-ROM with source code. Catalog no. C911X, 2007, 384 pp., Soft Cover ISBN: 978-1-58488-911-3, $79.95 / £42.99

Capillary Flows with Forming Interfaces Yulii D. Shikhmurzaev University of Birmingham, UK

This book explores theoretical problems arising in the modeling of capillary flows, examines the advantages and disadvantages of various theoretical approaches to modeling, and develops a unifying framework for seemingly different singular capillary phenomena. It experimentally verifies the derived models and applies them to problems of practical importance. Catalog no. C7486, January 2008, 480 pp. ISBN: 978-1-58488-748-5, $79.95 / £42.99

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COMING SOON!

Advanced Engineering Mathematics with Modeling Applications S. Graham Kelly

Engineering BGM

University of Akron, Ohio, USA

This text provides an overview of the principles and techniques of advanced mathematics as applied to mechanical engineering problems. It demonstrates the relationship between advanced mathematics and engineering principles, introduces engineering mathematics at a theoretical level, and includes functional analysis topics, such as vector spaces, inner products, and norms. It then develops advanced mathematical methods from this foundation. Catalog no. 9533, November 2008, 1000 pp. ISBN: 978-0-8493-9533-8, $129.95 / £32.99

Alan Brace

COMING SOON!

Physical Oceanography with MATLAB

Introduction to Quantitative Fund Management

Reza Malek-Madani

Edited by

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

Focusing on PDEs of geophysical fluid dynamics, this book provides an introduction to the fundamental analytical and computational tools necessary for modeling ocean currents. It discusses current research problems in the mathematical ocean modeling community and features computational projects at the end of every chapter. The author uses MATLAB® in the exercises as well as in the development of the mathematics. A CD-ROM containing all MATLAB programs accompanies the text. Catalog no. C830X, November 2008, 512 pp. ISBN: 978-1-58488-830-7, $79.95 / £41.99

National Australia Bank, Sydney

From simple to more sophisticated versions of the BGM model, this book presents methods that can be programmed into production code to suit specific requirements. It covers swaprate dynamics, the spot and terminal measures, calibration techniques, Bermudans, simulation, delta and vega hedging, inflation, and a shifted stochastic volatility BGM model. Catalog no. C9683, January 2008, 240 pp. ISBN: 978-1-58488-968-7, $79.95 / £42.99

Michael Dempster Cambridge Systems Associates Limited, UK

Georg Pflug University of Vienna, Austria

Gautam Mitra Brunel University, Uxbridge, Middlesex, UK

This volume provides a comprehensive overview of quantitative fund management at both the dynamic strategic and one period tactical levels. It gives a snapshot of state-of-the-art applications of dynamic stochastic optimization techniques to long-term financial planning. It also focuses on portfolio construction and risk management. Catalog no. C1918, August 2008, 488 pp. ISBN: 978-1-4200-8191-6, $79.95 / £41.99

Mathematics for Finance

Introduction to Stochastic Calculus Applied to Finance

Statistical and Probabilistic Methods in Actuarial Science

Second Edition Damien Lamberton Université de Marne-la-Vallée, France

Bernard Lapeyre

Philip J. Boland University College Dublin, Ireland

This book covers the diverse methods in applied probability and statistics. It also emphasizes the wide variety of practical situations in insurance and actuarial science where these techniques may be used. With numerous worked examples and problems, the text includes applications to general insurance and examines generalized linear models, credibility theory, game theory, and simulation techniques. A solutions manual is available for qualifying instructors. Catalog no. C6951, 2007, 368 pp. ISBN: 978-1-58488-695-2, $79.95 / £34.99

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École Nationale des Ponts et Chaussées, Marne-la-Vallée, France

Implementing several algorithms using SciLab, this introduction covers the probabilistic techniques required to understand the most widely used financial models. This edition presents fully updated material on stochastic volatility models and option pricing as well as a new chapter on credit risk modeling. It contains many numerical experiments, real-world examples, and additional exercises. Catalog no. C626, January 2008, 256 pp. ISBN: 978-1-58488-626-6, $69.95 / £34.99

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Numerical Methods for Finance Edited by

John Miller Institute for Numerical Computation & Analysis, Dublin, Ireland

David Edelman University College Dublin, Ireland

John Appleby Dublin City University, Ireland

Quantitative Equity Portfolio Management M o d e rn Techniques and Applications Edward E. Qian, Ronald H. Hua, and Eric H. Sorensen PanAgora Asset Management, Boston, Massachusetts, USA

This book provides valuable, practical information about credit risks, exotic/hybrid options, retirement plans/pensions, life insurance, portfolio selection, incentive schemes, and interest rate modeling. It presents a variety of novel mathematical methods involving finite-difference, Monte Carlo, and fast Fourier transform techniques. Catalog no. C925X, January 2008, 312 pp. ISBN: 978-1-58488-925-0, $99.95 / £54.99

“… a must have for quantitative equity managers and it provides a step-by-step illustration of how to build a superior, repeatable investment process. By combining academic research with practical implementation considerations, the book outlines the theoretical foundation of various market anomalies … and analyzes their actual performance with real-world portfolios under institutional setting. …” —Li Jin, Assistant Professor of Finance, Harvard Business School, Boston, Massachusetts, USA Catalog no. C5580, 2007, 464 pp. ISBN: 978-1-58488-558-0, $79.95 / £42.99

Understanding Risk

Optimal Statistical Inference in Financial Engineering

The Theory and Practice of Financial Risk Management David Murphy Rivast Consulting, London, UK

“… a comprehensive guide to market, credit, and operational risk. … Murphy focuses on practical problems, presenting numerous examples and exercises. Stressing intuition rather than detailed mathematical analysis, he brings readers a clear insight to the current challenges facing professionals today. This up-to-date treatment of risk is a welcome change from many other texts currently available. …” —Carol Alexander, Chair of Risk Management and Director of Research, University of Reading, UK Catalog no. C8938, April 2008, 472 pp., Soft Cover ISBN: 978-1-58488-893-2, $79.95 / £42.99

Masanobu Taniguchi and Kenichiro Tamaki Waseda University, Shinjuku-Ku, Tokyo, Japan

Junichi Hirukawa Niigata University, Japan

This book examines how stochastic models can effectively describe actual financial data and illustrates how to properly estimate the proposed models. It explores stochastic processes, time series models, option pricing theory, and VaR problems. It also covers models for interest rates and discount bonds, problems of credit rating, and the clustering of stock returns. Catalog no. C5912, January 2008, 384 pp. ISBN: 978-1-58488-591-7, $89.95 / £48.99

Credit Risk Portfolio Optimization and Performance Analysis Jean-Luc Prigent University of Cergy-Pontoise, France

Taking into account the different features of portfolio management theory, this book presents both standard and novel results on the axiomatics of the individual choice in an uncertain framework. It contains a precise overview of standard portfolio optimization, provides the main results for static and dynamic cases, and shows how theoretical results can be applied to practical and operational portfolio optimization. Catalog no. C5785, 2007, 456 pp. ISBN: 978-1-58488-578-8, $79.95 / £42.99

Models, D e ri vatives, and Management Edited by

Niklas Wagner Passau University, Germany

“… the most comprehensive available volume of authoritative readings on credit risk modeling. … [it] treat[s] all major aspects of the subject, from the behavior of default probabilities, recovery, and correlation to the pricing of a wide range of single-name and multi-name credit products. Every practitioner covering the topic will appreciate access to this collection.” —Darrell Duffie, Dean Witter Distinguished Professor of Finance, Graduate School of Business, Stanford University, California, USA Catalog no. C9942, May 2008, 600 pp. ISBN: 978-1-58488-994-6, $99.95 / £49.99

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Mathematics for Physics

COMING SOON!

Financial Modelling with Jump Processes Second Edition Rama Cont Columbia University, New York, USA

Mathematics of Quantum Computation and Quantum Technology Edited by

Peter Tankov

Goong Chen

Université Paris VII, France

This edition includes a new chapter on credit risk modeling and new developments in econometrics. After covering the necessary mathematics, the author presents theoretical, numerical, and empirical issues. Concepts are illustrated through many numerical and empirical examples. Catalog no. C2191, October 2008, 606 pp. ISBN: 978-1-4200-8219-7, $89.95 / £46.99

Texas A&M University, College Station, USA

Louis Kauffman University of Illinois, Chicago, USA

Samuel J. Lomonaco University of Maryland, Baltimore, USA

This volume covers quantum algorithms and hidden subgroups, quantum simulation, quantum wave functions, SQUIDs, optical quantum computing, cryptography, entanglement, quantum topology, and logic. It also includes recommendations for federal funding of mathematical research on quantum computing. Catalog no. C8997, January 2008, 624 pp. ISBN: 978-1-58488-899-4, $99.95 / £54.99

COMING SOON!

Analysis, Geometry and Modeling in Finance Advanced Methods in Options Pricing

Mathematical Physics

Pierre Henry-Labordere

The Basics

Societé Generale, Paris, France

This is the first book that applies advanced analytical and geometrical methods used in recent mathematics and physics to the financial field. The author presents powerful methods and tools, such as differential geometry, spectral decomposition, and supersymmetry, that can be applied to concrete problems in mathematical finance. Throughout the text, he supplies both theoretical and numerical results, using Mathematica® and C++ for the numerical implementations. Catalog no. C8699, November 2008, 356 pp. ISBN: 978-1-4200-8699-7, $79.95 / £41.99

S.D. Joglekar Indian Institute of Technology, Kanpur

The first of a two-volume series, this text provides a masterful introduction to the mathematical methods encountered by undergraduate students in physics, chemistry, and engineering. Topics include vectors and Cartesian tensors, linear operators, eigenvalues and eigenvectors, matrix representations, complex variables, analytic functions, and contour integrals. Numerous worked examples and problems are featured to demonstrate principles and facilitate learning. Catalog no. UN5302, May 2007, 256 pp. Soft Cover, ISBN: 978-1-4200-5302-9, $59.95 / £31.99

COMING SOON!

Quantitative Finance An Object-Oriented Approach in C++

Mathematical Physics

Erik Schlogl

S.D. Joglekar

Advanced Topics

University of Technology, Sydney, New South Wales, Australia

Indian Institute of Technology, Kanpur

This text builds a foundation in the key methods and models of quantitative finance from the perspective of their implementation in C++. The author takes an object-oriented approach that starts from simple building blocks for assembling more complex and powerful models. He includes working C++ source code on a CDROM that accompanies the book. Catalog no. C4797, November 2008, 506 pp. ISBN: 978-1-58488-479-8, $79.95 / £39.99

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The second volume in this series is designed for senior undergraduate and postgraduate students. The author provides detailed discussion of topics including partial differential equations, ordinary differential equations, special functions, classical orthogonal polynomials, spherical harmonics, the Dirac-delta function, Fourier transforms, group theory, matrix representations, and diagonalization of matrices. Catalog no. UN5303, 2007, 352 pp. Soft Cover, ISBN: 978-1-42005-303-6, $69.95 / £37.99

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Quantum Computing

Handbook of Scheduling Algorithms, Models, and Perfo rmance Analysis

From Linear Algebra to Physical Realizations

Edited by

Mikio Nakahara and Tetsuo Ohmi

Joseph Y-T. Leung

Kinki University, Osaka, Japan

New Jersey Institute of Technology, Newark, USA

With explicit derivations, exercises, and selected solutions, this self-contained, classroom-tested book examines the theoretical aspects of quantum computing and focuses on several candidates of a working quantum computer. It covers theoretical tools, such as vectors, matrices, quantum gates, and integral and Fourier transforms, and explores applications at the forefront of the field. Catalog no. IP606, March 2008, 440 pp. ISBN: 978-0-7503-0983-7, $79.95 / £41.99

“More than 90 well-known authors in this area have made contributions to this handbook … . This handbook is certainly valuable for researchers [who] want to get an impression on recent research areas and also an overview on existing results. … [It] presents a huge volume of recent research in different scheduling areas, and certainly will stimulate further developments in many directions … .” —Mathematical Reviews, Issue 2005d Catalog no. C3979, 2004, 1224 pp. ISBN: 978-1-58488-397-5, $139.95 / £73.99

Operations Research

Probability Models in Operations Research C. Richard Cassady University of Arkansas, Fayetteville, USA

Joel A. Nachlas Virginia Tech, Blacksburg, USA

Balancing applications with mathematical rigor, this book introduces the use of probability to define models that have applications in industrial engineering and operations research. It offers a concise review of the key components of probability theory. Catalog no. 54899, July 2008, 200 pp. ISBN: 978-1-4200-5489-7, $99.95 / £39.99

Introduction to the Mathematics of Operations Research with Mathematica®

Operations Research and Management Science Handbook Edited by

A. Ravi Ravindran Pennsylvania State University, University Park, USA

This comprehensive handbook provides an overview of operations research methods and applications. Drawing on a mix of international authors, it explores the latest topics in OR/MS and examines recent developments in the field. Anyone who uses analytical techniques in decision making will need this book. Catalog no. 9721, January 2008, 904 pp. ISBN: 978-0-8493-9721-9, $129.95 / £71.99

Optimization Modelling

Second Edition

A Practical Approach

Kevin J. Hastings

Ruhul Amin Sarker and Charles S. Newton

Knox College, Galesburg, Illinois, USA

This second edition focuses on the topics of graph theory, linear programming, stochastic processes, and dynamic programming. Integrating technology into the development, this edition features a CD-ROM with Mathematica®. It also offers new material in areas, such as simulation, Brownian motion, and famous graph theory problems, including the traveling salesman problem. Catalog no. DK3895, 2006, 592 pp. ISBN: 978-1-57444-612-8, $89.95 / £44.99

University of New South Wales, Canberra, Australia

Illustrated with numerous case studies, this book addresses practical aspects and challenges of problem solving and solution implementation. It presents different modeling techniques, illustrated by various examples. The authors analyze a range of wellknown theoretical and practical problems and use optimization packages for mathematical modeling. Catalog no. 43102, January 2008, 504 pp. ISBN: 978-1-4200-4310-5, $129.95 / £71.99

For more information and a complete listing of titles, visit us at www.crcpress.com

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Probability Theory & Applications

Pólya Urn Models

Introduction to Probability with R

Hosam M. Mahmoud George Washington University, Washington, DC, USA

Kenneth P. Baclawski Northeastern University, Boston, Massachusetts, USA

“… a broad spectrum of probability and statistics topics ranging from set theory to statistics and the normal distribution to Poisson process to Markov chains. … The book contains a rich collection of exercises and problems … an excellent introduction to the open source software R is given in the book. …” —Tianhua Niu, Brigham and Women’s Hospital, Harvard Medical School, and Harvard School of Public Health, Boston, Massachusetts, USA Catalog no. C6521, January 2008, 384 pp. ISBN: 978-1-4200-6521-3, $89.95 / £39.99

With exercises, examples, and historical notes, this book summarizes basic issues in discrete probability to form the foundations of probability from an urn viewpoint. It covers classical probability problems connected to and presented within the framework of urns, the Pólya urn model, and variations in real time. It also explores recent developments and a broad range of applications. Catalog no. C5983, July 2008, 352 pp. ISBN: 978-1-4200-5983-0, $79.95 / £41.99

Introduction to Probability and Statistics for Science, Engineering, and Finance

Stochastic Relations

Walter A. Rosenkrantz

Foundations for Markov Transition Systems

University of Massachusetts, Amherst, USA

Ernst-Erich Doberkat Universität Dortmund, Germany

This book develops the theory of stochastic relations as a basis for Markov transition systems. It examines congruences and morphisms, applies these to the monoidal structure, and defines bisimilarity and behavioral equivalence within this framework. The book also includes case studies of software architecture, the converse of a stochastic relation, and the average case analysis of two algorithms. Catalog no. C9411, 2007, 376 pp. ISBN: 978-1-58488-941-0, $99.95 / £54.99

This integrated text presents the traditional concepts of data analysis, probability theory, and statistical inference, along with various novel applications in financial mathematics and engineering. It covers distribution functions, linear regression, and both singleand multi-factor experiments. It includes numerous examples that involve statistical software packages, a CD-ROM of data sets, and a solutions manual for qualifying instructors. Catalog no. C8121, July 2008, 688 pp. ISBN: 978-1-58488-812-3, $89.95 / £46.99

Probability and Statistics with R

Mathematical Models of Information and Stochastic Systems

María Dolores Ugarte and Ana F. Militino Public University of Navarre, Pamplona, Spain

Alan T. Arnholt

Philipp Kornreich Syracuse University, New York, USA

Appalachian State University, Boone, North Carolina, USA

With numerous case studies, examples, tables, and problems, this text shows that the amount of knowledge about a system plays an important role in the mathematical models used to foretell the future of the system. The author develops probability theory from a few basic concepts and explores the relationship between probability and time. Catalog no. 58835, May 2008, 376 pp. ISBN: 978-1-4200-5883-3, $99.95 / £44.99

With numerous real-world examples, carefully explained proofs, end-of-chapter problems, and illuminating graphs, this text shows how to solve various statistical problems using both parametric and nonparametric techniques via R. The authors offer data sets, functions, and other ancillary material on a supporting website. A solutions manual is available for qualifying instructors. Catalog no. C8911, April 2008, 728 pp. ISBN: 978-1-58488-891-8, $89.95 / £46.99

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Forthcoming!

Process Algebra for Parallel and Distributed Processing

A Concise Intro to Image Processing using C++

Michael Alexander

Meiqinq Wang

Wirtschaftuniversitat Wien, Vienna, Austria

College of Mathematics & Computer Science, Fujian, People’s Republic of China

William Gardner University of Guelph, Ontario, Canada

Choi-Hong Lai

Catalog no. C6486, November 2008, 350 pp. ISBN: 978-1-4200-6486-5, $99.95 / £52.99

University of Greenwich, London, UK

Catalog no. C8970, October 2008, 306 pp. ISBN: 978-1-58488-897-0, $79.95 / £39.99

Introduction to Scientific Programming and Simulation with R

Advanced Differential Quadrature Methods

Owen Jones, Robert Maillardet, and Andrew Robinson

Dalian University of Technology, People’s Republic of China

Zhi Zong

University of Melbourne, Parkville, Australia

Yingyan Zhang

Catalog no. C6872, October 2008, 300 pp. ISBN: 978-1-4200-6872-6, $79.95 / £41.99

National University of Singapore

Numerical Techniques for Direct and Large-Eddy Simulations Xi Jiang Brunel University, Uxbridge, UK

Choi-Hong Lai

Catalog no. C8248, December 2008, 352 pp. ISBN: 978-1-4200-8248-7, $99.95 / £52.99

No-Arbitrage Pricing Analytical and Numerical Methods Svetlana Boyarchenko and Sergey Levendorskiy

University of Greenwich, London, UK

University of Texas, Austin, USA

Catalog no. C7578, December 2008, 306 pp. ISBN: 978-1-4200-7578-6, $89.95 / £46.99

Catalog no. C7898, December 2008, 356 pp. ISBN: 978-1-4200-7898-5, $79.95 / £41.99

Solving Applied Mathematical Problems with MATLAB

Applied Game Theory and Strategic Behavior

Dingyu Xue

Ilhan K. Geckil and Patrick L.Anderson

Northeastern University, Shenyang, People’s Republic of China

Anderson Economic Group, East Lansing, Michigan, USA

Yangquan Chen

Catalog no. C843X, October 2008, 320 pp. ISBN: 978-1-58488-843-7, $79.95 / £41.99

Utah State University, Logan, USA

Catalog no. C8250, October 2008, 450 pp. ISBN: 978-1-4200-8250-0, $79.95 / £34.99

Complex Functions with Applications to Flows and Fields Luis Braga de Costa Campos

Mathematical and Experimental Modeling of Physical and Biological Processes H.T. Banks and H.T.Tran

Instituto Superior Técnico, Lisbon, Portugal

North Carolina State University, Raleigh, USA

Catalog no. 71181, November 2008, 350 pp. ISBN: 978-1-4200-7118-4, $89.95 / £39.99

Catalog no. C7337, November 2008, 275 pp. ISBN: 978-1-4200-7337-9, $79.95 / £41.99

Classical and Generalized Models of Elastic Rods

Concepts in Quantum Mechanics

D. Iesan Alexandru Ioan Cuza University of Iasi, Romania

Catalog no. C6499, September 2008 352 pp., ISBN: 978-1-4200-8649-2 $129.95 / £67.99

Surendra P. Singh University of Arkansas, Fayetteville, USA

Vishnu S. Mathur Banaras Hindu University, Varanasi, India

Catalog no. C7872, October 2008, 576 pp. ISBN: 978-1-4200-7872-5, $119.95 / £46.99

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• Expanded from One to Three Volumes • 1,300 pages of new content • 6,000 illustrations • 12,500 entries Accessible to everyone who has an interest in mathematics but not necessarily an extensive background. Each entry provides definitions, formulas, illustrations, web links, bibliographic information, and facts from mathematics, the sciences, and engineering. Updated for the use of Mathematica® 6

Catalog no. C722X, November 2008, c. 4,300 pp., ISBN: 978-1-4200-7221-1, List price $495.00 / £199.00

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