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Table of ContentsMathematics

Algebra ..........................................................................................................................................................................3

Algebraic Geometry & Number Theory ...........................................................................................................................6

Algorithms & Complexity ................................................................................................................................................7

Applied Mathematics .......................................................................................................................................................8

Combinatorics & Discrete Mathematics .........................................................................................................................10

Differential Equations & Nonlinearity .............................................................................................................................14

Game Theory ................................................................................................................................................................20

General & Introductory Mathematics ............................................................................................................................20

Geometry & Topology ...................................................................................................................................................23

Mathematical & Computational Imaging ......................................................................................................................25

Mathematical Modeling ................................................................................................................................................25

Mathematical Physics ....................................................................................................................................................28

Mathematics for Biology & Medicine .............................................................................................................................29

Mathematics for Engineering .........................................................................................................................................32

Mathematics for Finance ...............................................................................................................................................36

Mathematics for Physics ................................................................................................................................................39

Numerical Analysis & Mathematical Computation .........................................................................................................40

Operations Research ......................................................................................................................................................43

Probability Theory & Applications..................................................................................................................................45

Real, Complex & Functional Analysis .............................................................................................................................47

Recreational Mathematics & Popular Science ................................................................................................................50

Set Theory & Logic ........................................................................................................................................................52

Statistics

Bioinformatics & Statistical Genetics ..............................................................................................................................54

Biostatistics ....................................................................................................................................................................55

Biostatistics & Epidemiology ..........................................................................................................................................56

Computational Biology ..................................................................................................................................................64

Computational Statistics ................................................................................................................................................65

Environmental Statistics .................................................................................................................................................69

Table of Contents continued...

Statistics continued...

Introductory Statistics & General References ..................................................................................................................70

Probability Theory & Applications..................................................................................................................................72

SPC/Reliability/Quality Control ......................................................................................................................................73

Statistical Genetics & Bioinformatics ..............................................................................................................................74

Statistical Learning & Data Mining ................................................................................................................................75

Statistical Physics & Thermodynamics............................................................................................................................78

Statistical Theory & Methods .........................................................................................................................................79

Statistics for Business, Finance & Economics ..................................................................................................................91

Statistics for Engineering & Physical Science ..................................................................................................................94

Statistics for Life Sciences ...............................................................................................................................................96

Statistics for the Social & Behavioral Sciences ................................................................................................................96

Title Index ..........................................................................................................................................................................101

Author Index ......................................................................................................................................................................106

Sales Agents .......................................................................................................................................................................111

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

Algebras, Rings and ModulesNon-commutative Algebras and RingsMichiel HazewinkelCWI, Amsterdam, Netherlands

Nadiya M. GubareniCzestochowa University of Technology, Poland

This book systematizes the more recent results on advanced topics of the structural theory of associative algebras, rings and modules. It details the different classes of non-commutative and non-Noetherian rings including hereditary and semi- hereditary rings, distributive and semi-distributive rings, serial non-singular rings, and more. In addition, it discusses the basic concepts on projective, injective and weak dimension of modules, as well as the recent results on the classification of rings from a homological point of view.

Print ISBN: 978-1-4822-4503-5 April 2015, 6 x 9, 600 pp. Suggested Price: $139.95 / 89.00

Algebras, Graphs and their ApplicationsIlwoo ChoSaint Ambrose University, Davenport, Iowa, USA

This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematical objects. It also covers tools and methods from a variety of mathematical areas, including algebra, operator theory, and combinatorics, and offers numerous applications of fractal theory, entropy theory, K-theory, and index theory.

Print ISBN: 978-1-4665-9019-9 eBook ISBN: 978-1-4665-9020-5 September 2013, 6-1/8 x 9-1/4, 444 pp. Suggested Price: $104.95 / 65.99

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Advanced Linear AlgebraSecond EditionBruce CoopersteinUniversity of California, Santa Cruz, USASeries: Textbooks in Mathematics

Introducing vector spaces over fields as well as the fundamental concepts of linear combinations, span of vectors, linear independence, basis, and dimension, this book discusses the algebra of polynomials with coefficients in a field, concentrating on results that are consequences of the division algorithm. It develops the structure theory of a linear operator on a finite dimensional vector space and explores inner product spaces from the GramSchmidt process to the spectral theorems for normal and self-adjoint operators.

Print ISBN: 978-1-4822-4884-5 May 2015, 6 x 9, 600 pp. Suggested Price: $89.95 / 57.99

Textbook

Advanced Linear AlgebraNicholas LoehrVirginia Polytechnic Institute and State University, Blacksburg, USASeries: Textbooks in Mathematics

Designed for a second theoretical course in linear algebra, this text explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. The author covers algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra. He gives complete proofs of all results and supplements the general theory with many specific examples and concrete computations.

Print ISBN: 978-1-4665-5901-1 eBook ISBN: 978-1-4665-5902-8 April 2014, 7 x 10, 632 pp. Suggested Price: $99.95 / 63.99

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Abstract AlgebraAn Inquiry Based ApproachJonathan K. Hodge, Steven Schlicker, and Ted SundstromSeries: Textbooks in Mathematics

Emphasizing active learning, this text not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think. The book can be used in both rings-first and groups-first abstract algebra courses. Numerous activities, examples, and exercises illustrate the definitions, theorems, and concepts. Each chapter also discusses the connections among topics in ring theory and group theory, helping students see the relationships between the two main types of algebraic objects studied throughout the text.

Print ISBN: 978-1-4665-6706-1 eBook ISBN: 978-1-4822-2194-7 December 2013, 7 x 10, 595 pp. Suggested Price: $99.95 / 49.99

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Abstract AlgebraA Gentle IntroductionGary L. Mullen and James A. SellersThe Pennsylvania State University, University Park, USASeries: Textbooks in Mathematics

This book introduces the basic notions of abstract algebra to sophomores and perhaps even junior mathematics majors who have a relatively weak background with conceptual courses. It introduces the material with many concrete examples and establishes a firm foundation for introducing more abstract mathematical notions.


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Textbook

Introduction to Group TheoryMichael J. CollinsUniversity College, Oxford, UK

Group theory is an important subject that has come a long way in recent years. Introduction to Group Theory presents the fundamentals of both finite and infinite group theory, with a focus on finite groups. It provides students with the ability to prove the Thomas normal p-complement theorem and to classify simple finite groups. A large portion of the text is devoted to general linear groups. Additional topics covered include the construction of BN pairs, Coexeter groups, HallHigham theory, and Bender results. The text also offers an in-depth exploration of the complex relationship between groups, coding, and cryptography.

Print ISBN: 978-1-58488-621-1 June 2015, 6-1/8 x 9-1/4, 416 pp. Suggested Price: $79.95 / 49.99

Textbook

Introduction to Computational Linear AlgebraNabil Nassif, Bernard Philippe, and Jocelyne Erhel

Introduction to Computational Linear Algebra introduces the reader with a background in basic mathematics and computer programming to the fundamentals of dense and sparse matrix computations with illustrating examples. The textbook is a synthesis of conceptual and practical topics in Matrix Computations. The books learning outcomes are twofold: to understand state-of-the-art computational tools to solve matrix computations problems (BLAS primitives, MATLAB programming) as well as essential mathematical concepts needed to master the topics of numerical linear algebra. It is suitable for senior-level and beginning graduate students in mathematics, applied mathematics, engineering, and the computational sciences.

Print ISBN: 978-1-4822-5869-1 March 2015, 6-1/8 x 9-1/4, 300 pp. Suggested Price: $79.95 / 49.99

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Exploring Linear AlgebraLabs and Projects with Mathematica

Crista ArangalaElon University, North Carolina, USASeries: Textbooks in Mathematics, 18

This supplement for linear algebra courses provides a hands-on lab manual that includes exercises, theorems, and problems. The exercises section integrates problems, technology, Mathematica visualization, and Mathematica CDFs, enabling students to discover the theory and applications of linear algebra in a meaningful way. The theorems and problems section presents the theoretical aspects of linear algebra. Each chapter also contains application-driven projects that students can use as the basis for further undergraduate research.

Print ISBN: 978-1-4822-4149-5 November 2014, 6-1/8 x 9-1/4, 151 pp. Suggested Price: $49.95 / 31.99

Handbook of Linear AlgebraSecond EditionEdited by

Leslie HogbenIowa State University, Ames, USASeries: Discrete Mathematics and Its Applications

With a substantial amount of new material, this best-selling handbook provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides readers from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition includes 20 new chapters that cover combinatorial matrix theory topics, numerical linear algebra topics, more applications of linear algebra, the use of Sage for linear algebra, and much more.

Print ISBN: 978-1-4665-0728-9 eBook ISBN: 978-1-4665-0729-6 November 2013, 7 x 10, 1904 pp. Suggested Price: $177.95 / 113.00

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Galois TheoryFourth EditionIan Nicholas Stewart

A qualified bestseller since 1973, this third edition refines the information and improves features of the book to provide greater clarity and motivation to learn. It includes useful theorems to make the formulas more transparent and easier to understand. It offers a simplified proof of the fundamentals of algebra requiring only basic real analysis. In all, this edition revises and simplifies to provide greater interesting payoff at the beginning of the book and backs up the theorems with details later and in appendices.

Print ISBN: 978-1-4822-4582-0 May 2015, 6-1/8 x 9-1/4, 350 pp., Soft Cover Suggested Price: $59.95 / 38.99

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A First Course in Abstract AlgebraRings, Groups, and Fields, Third EditionMarlow AndersonColorado College, Colorado Springs, USA

Todd FeilDenison University, Granville, Ohio, USA

Like its popular predecessors, this text develops ring theory first by drawing on students familiarity with integers and polynomials. This unique approach motivates students in studying abstract algebra and helps them understand the power of abstraction. This edition makes it easier to teach unique factorization as an optional topic and reorganizes the core material on rings, integral domains, and fields. Along with new exercises on Galois theory, it also includes a more detailed treatment of permutations as well as new chapters on Sylow theorems.

Print ISBN: 978-1-4822-4552-3 November 2014, 7 x 10, 552 pp., Pack - Book and Ebook Suggested Price: $89.95 / 57.99

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Understanding Geometric AlgebraHamilton, Grassmann, and Clifford for Computer Vision and GraphicsKenichi KanataniOkayama University, Japan

This book offers a unique historical look at the development of geometric algebra, the roots of which have taken on new significance in light of computer graphics, computer vision, and robotics applications. For this reason, it covers Hamiltons, Grassmanns, and Cliffords geometry in tracing the development of what is now seen as geometric algebra. Designed for wide range of readers involved in 3D modeling, the book also includes exercises and solutions, which can be used in special topic courses on the subject or as a supplemental text in other courses.


The Separable Galois Theory of Commutative RingsSecond EditionAndy R. MagidThe University of Oklahoma, Norman, USASeries: Chapman & Hall/CRC Pure and Applied Mathematics

This book provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra. Along with updating nearly every result and explanation, this edition contains a new chapter that introduces the theory of separable algebras. It presents complete proofs of all the main results and incorporates many examples to enable a better understanding.

Print ISBN: 978-1-4822-0805-4 eBook ISBN: 978-1-4822-0806-1 July 2014, 6-1/8 x 9-1/4, 184 pp. Suggested Price: $109.95 / 68.99

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Practical Linear AlgebraA Geometry Toolbox, Third EditionGerald FarinArizona State University, Tempe, USA

Dianne HansfordFarinHansford R&D, Paradise Valley, Arizona, USA

Through many examples and real-world applications, this text teaches undergraduate-level linear algebra in a comprehensive, geometric, and algorithmic way. It provides a solid foundation for further work in math, engineering, science, computer graphics, and geometric modeling. Along with more exercises and applications, this third edition covers singular value decomposition and its application to the pseudoinverse, principal components analysis, and image compression. It also gives more attention to eigen-analysis, including eigenfunctions and the Google matrix, and emphasizes orthogonal projections and matrix decompositions.

Print ISBN: 978-1-4665-7956-9 eBook ISBN: 978-1-4665-7959-0 August 2013, 7-1/2 x 9-1/4, 514 pp. Suggested Price: $89.95 / 57.99

Near Rings, Fuzzy Ideals, and Graph TheoryBhavanari SatyanarayanaAcharya Nagarjuna University, Andra Pradesh, India

Kuncham Syam PrasadManipal University, India

Near ring theory has many applications in areas as diverse as digital computing, sequential mechanics, automata theory, graph theory, and combinatorics. Suitable for researchers and graduate students, this book provides readers with an understanding of near ring theory and its connection to fuzzy ideals and graph theory. It explores the relationship between near rings and fuzzy sets and between near rings and graph theory. The authors cover topics from recent literature along with several characterizations.

Print ISBN: 978-1-4398-7310-6 eBook ISBN: 978-1-4398-7311-3 May 2013, 6-1/8 x 9-1/4, 480 pp. Suggested Price: $104.95 / 65.99

Monomial AlgebrasSecond EditionRafael VillarrealCentro de Investigacion, Mexico City, MexicoSeries: Monographs and Research Notes in Mathematics

The book stresses the interplay between several areas of pure and applied mathematics, emphasizing the central role of monomial algebras. It unifies the classical results of commutative algebra with central results and notions from graph theory, combinatorics, linear algebra, integer programming, and combinatorial optimization. The book introduces various methods to study monomial algebras and their presentation ideals, including Stanley-Reisner rings, subrings and blowup algebra-emphasizing square free quadratics, hypergraph clutters, and effective computational methods.


Textbook

Linear Algebra, Geometry and TransformationBruce SolomonIndiana University, Bloomington, USASeries: Textbooks in Mathematics, 20

This classroom-tested textbook uses a geometric approach to teaching linear algebra to non-engineering students. The authors emphasize the computational and conceptual skills that let students navigate easily back and forth along any of these dualities, since problems posed from one perspective can often be solved with less effort from the dual viewpoint.

Print ISBN: 978-1-4822-9928-1 December 2014, 6 x 9, 472 pp., Pack - Book and Ebook Suggested Price: $89.95 / 57.99

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Quadratic IrrationalsAn Introduction to Classical Number TheoryFranz Halter-KochUniversity of Graz, AustriaSeries: Chapman & Hall/CRC Pure and Applied Mathematics

Research on number theory has produced a wealth of interesting and beautiful results yet topics are strewn throughout the literature, the notation is far from being standardized, and a unifying approach to the different aspects is lacking. Covering both classical and recent results, this book unifies the theory of continued fractions, quadratic orders, binary quadratic forms, and class groups based on the concept of a quadratic irrational. It highlights the connection between Gausss theory of binary forms and the arithmetic of quadratic orders.

Print ISBN: 978-1-4665-9183-7 eBook ISBN: 978-1-4665-9184-4 June 2013, 7 x 10, 431 pp. Suggested Price: $104.95 / 65.99

Textbook

An Introduction to Number Theory with CryptographyJames S. KraftGilman School, Baltimore, Maryland, USA

Lawrence C. WashingtonUniversity of Maryland, College Park, USA

Number theory has a rich history. For many years it was one of the purest areas of pure mathematics, studied because of the intellectual fascination with properties of integers. More recently, it has been an area that also has important applications to subjects such as cryptography. An Introduction to Number Theory with Cryptography presents number theory along with many interesting applications. Designed for an undergraduate-level course, it covers standard number theory topics and gives instructors the option of integrating several other topics into their coverage. The Check Your Understanding problems aid in learning the basics, and there are numerous exercises, projects, and computer explorations of varying levels of difficulty.


Textbook

Elementary Number TheoryJames S. KraftGilman School, Baltimore, Maryland, USA

Larry WashingtonUniversity of Maryland, College Park, USA

Linear optimization, also commonly called linear programming, is a widely used tool for transforming a real-life decision problem into a mathematical model and designing algorithms to solve or analyze the model, resulting in solving the real-life problem. This book presents number theory along with many interesting applications. Designed for an undergraduate-level course, it covers standard number theory topics and gives instructors the option of integrating several other topics into their coverage. The Check Your Understanding problems aid in learning the basics, and there are numerous exercises, projects, and computer explorations of varying levels of difficulty.


Cremona Groups and IcosahedronIvan CheltsovUniversity of Edinburgh, Scotland, UK

Konstantin ShramovSteklov Institute of Mathematics, Moscow, RussiaSeries: Monographs and Research Notes in Mathematics

This book provides an ideal introduction to birational geometry for researchers and graduate students. The map of the Cremona group is not often defined at some points, making it very hard to study. This book introduces the Cremona group of rank three, which is very large and impossible to handle directly. The book helps readers develop new methods for the study of finite subgroups of Cremona groups of high rank or Cremona groups of rank three.

Print ISBN: 978-1-4822-5159-3 April 2015, 6-1/8 x 9-1/4, 275 pp. Suggested Price: $89.95 / 57.99

Textbook

Computational Number TheoryAbhijit DasIndian Institute of Technology, KharagpurSeries: Discrete Mathematics and Its Applications

Developed from the authors popular graduate-level course, this self-contained text presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra and requiring no prior experience with number theory or sophisticated algebraic tools, the book covers many computational aspects of number theory and highlights important and interesting engineering applications. With an emphasis on implementation issues, it uses the freely available number-theory calculator GP/PARI to demonstrate complex arithmetic computations. The text includes numerous examples and exercises throughout and omits lengthy proofs, making the material accessible to students and practitioners.

Print ISBN: 978-1-4398-6615-3 eBook ISBN: 978-1-4398-6618-4 March 2013, 6-1/8 x 9-1/4, 614 pp. Suggested Price: $94.95 / 59.99

Analytic Hyperbolic Geometry in N DimensionsAn IntroductionAbraham Albert UngarNorth Dakota State University, Fargo, USA

This book introduces for the first time the hyperbolic simplex as an important concept in n-dimensional hyperbolic geometry. The extension of common Euclidean geometry to N dimensions, with N being any positive integer, results in greater generality and succinctness in related expressions. Using new mathematical tools, the book demonstrates that this is also the case with analytic hyperbolic geometry. For example, the author analytically determines the hyperbolic circumcenter and circumradius of any hyperbolic simplex.

Print ISBN: 978-1-4822-3667-5 February 2015, 6-1/8 x 9-1/4, 525 pp. Suggested Price: $99.95 / 63.99

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Undocumented Secrets of MATLAB-Java ProgrammingYair AltmanGaney Tivka, Israel

Many people know that a major part of the functionality of the MATLAB software package is based on Java. But fewer people know how to manipulate Java to achieve improved appearance and functionality and thus heighten MATLAB softwares applicability to real world, modern situations. Organized by related functionality/usage and ordered from facile to complex, this book presents examples, instruction, and code snippets in stand-alone, self-contained chapters. Requiring no prior Java knowledge, this book provides numerous online references and resources to show readers how to use and discover new components and functionalities using nothing but MATLAB itself as the discovery tool.


Parallel Graph AlgorithmsEdited by

David A. BaderSeries: Chapman & Hall/CRC Computational Science

Graph theoretic problems are representative of fundamental kernels in traditional and emerging scientific applications, such as complex network analysis, data mining, and computational biology, as well as applications in national security. Graph abstractions are also extensively used to understand and solve challenging problems in scientific computing. To efficiently solve large-scale graph problems, it is necessary to design high performance computing systems and novel parallel algorithms. In this book, some of the worlds most renowned experts explore the latest research and applications in this important area.


Textbook

A Guide to Algorithm DesignParadigms, Methods, and Complexity AnalysisAnne Benoit, Yves Robert, and Frdric VivienChapman & Hall/CRC Applied Algorithms and Data Structures series

Presenting a complementary perspective to standard books on algorithms, A Guide to Algorithm Design provides a roadmap for readers to determine the difficulty of an algorithmic problem by finding an optimal solution or proving complexity results. It gives a practical treatment of algorithmic complexity and guides readers in solving algorithmic problems. The book offers a comprehensive set of problems with solutions as well as in-depth case studies that demonstrate how to assess the complexity of a new problem.

Print ISBN: 978-1-4398-2564-8 eBook ISBN: 978-1-4398-2565-5 August 2013, 6-1/8 x 9-1/4, 380 pp. Suggested Price: $79.95 / 49.99

The Garbage Collection HandbookThe Art of Automatic Memory ManagementRichard Jones, Antony Hosking, and Eliot MossChapman & Hall/CRC Applied Algorithms and Data Structures series

This authoritative handbook brings together a wealth of knowledge gathered by automatic memory management researchers and developers over the past fifty years. It addresses new challenges to garbage collection made by recent advances in hardware and software. The authors compare the most important approaches and state-of-the-art techniques in a single, accessible framework. They cover parallel, concurrent, and real-time garbage collection algorithms and explain some of the tricky aspects of garbage collection. An online bibliographic database includes over 2,500 garbage collection-related publications.

Print ISBN: 978-1-4200-8279-1 August 2011, 7 x 10, 511 pp. Suggested Price: $89.95 / 57.99

A Formal Approach to Multi-Level Complex SystemsModeling and AnalysisEmanuela Merelli, Marjan Sirjani, and Narges Khakpour

Although complex systems have been thoroughly studied by different scientific communities, Computer Science opens up potential that had not been fully exploited in this field. This book examines the multi-level nature of complex systems and includes formal methods for their modeling and the analysis. It presents a formal computational framework for the study of complex systems and provides concrete evidence of the usefulness of formal methods in many interdisciplinary research fields, e.g. biological systems and social systems.

Print ISBN: 978-1-4665-5662-1 June 2015, 6 x 9, 300 pp. Suggested Price: $79.95 / 49.99

Textbook

Flexible, Reliable SoftwareUsing Patterns and Agile DevelopmentHenrik B. ChristensenUniversity of Aarhus, DenmarkSeries: Chapman & Hall/CRC Textbooks in Computing

This text presents innovative agile methods and guides readers through the software development process. By describing practical stories, explaining the design and programming process in detail, and using projects as a learning context, the author helps readers understand why a given technique is required and why techniques must be combined to overcome the challenges facing software developers. He discusses the benefits and liabilities of each approach, provides a collection of design patterns, and includes projects that represent real-world tasks. The book also contains review questions, exercises, and selected solutions. Source code and other resources are available on the authors website.

Print ISBN: 978-1-4200-9362-9 eBook ISBN: 978-1-4200-9363-6 May 2010, 7 x 10, 527 pp. Suggested Price: $79.95 / 49.99

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Laser Beam PropagationGeneration and Propagation of Customized LightEdited by

Andrew ForbesCSIR National Laser Centre, Pretoria, South Africa

This book provides a comprehensive account of laser beam propagation, reflecting the major impact of new characterization methods, computational approaches, and fabrication techniques. It highlights new discoveries on laser beams and their propagation properties, including orbital angular momentum of light, the non-diffracting nature of light, and light that propagates along curved paths and reconstructs after obstacles. Chapters by expert researchers demonstrate how laser beams propagate, explain the generation of custom laser beams with modern techniques, describe beam properties, and showcase their application across various disciplines.

Print ISBN: 978-1-4665-5439-9 eBook ISBN: 978-1-4665-5440-5 February 2014, 6-1/8 x 9-1/4, 364 pp. Suggested Price: $129.95 / 82.00

Generalized Sylvester EquationsUnified Parametric SolutionsGuang-Ren DuanHarbin Institute of Technology, Harbin, P. R. China

Generalized Sylvester equations (GSEs) have found applications in many fields, including applied mathematics, systems and control, and signal processing. This book presents a unified parametric approach for solving the various types of GSEs, with proofs theorems and some technical results used. It provides a unified parametric solution formula, in an extremely neat and elegant matrix form, for all the various types of GSEs.


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Fluid Dynamics via Examples and SolutionsSergey NazarenkoUniversity of Warwick, UK

Designed for advanced undergraduate and beginning graduate students in physics and engineering, this self-contained text takes a hands-on, problem-based approach to fluid dynamics. It includes many worked examples and problems that highlight applications in a range of areas, helping students thoroughly understand the mathematics involved. The text also provides the relevant theory for most problems, references for further reading, and solution strategies/complete solutions. The authors website offers additional example problems.

Print ISBN: 978-1-4398-8882-7 December 2014, 6-1/8 x 9-1/4, 254 pp., Soft Cover Suggested Price: $59.95 / 38.99

Digital Geometry in Image ProcessingJayanta Mukhopadhyay, Partha Pratim Das, Samiran Chattopadhyay, Partha Bhowmick, Biswa Nath ChatterjiIIT Kharagpur Research Monograph Series

Exploring theories and applications developed during the last 30 years, this book presents a mathematical treatment of the properties of digital metric spaces and their relevance in analyzing shapes in two and three dimensions. Unlike similar books, this one connects the two areas of image processing and digital geometry, highlighting important results of digital geometry that are currently used in image analysis and processing. With many figures (some in color) and end-of-chapter exercises, the book gives you insight on the latest two- and three-dimensional image processing applications.

Print ISBN: 978-1-4665-0567-4 eBook ISBN: 978-1-4665-0568-1 April 2013, 6-1/8 x 9-1/4, 318 pp. Suggested Price: $94.95 / 59.99

Case Studies in System of Systems, Enterprise Systems, and Complex Systems EngineeringEdited by

Alex Gorod, Brian E. White, Vernon Ireland, S. Jimmy Gandhi, and Brian SauserSeries: Complex and Enterprise Systems Engineering

Suitable as a reference for industry practitioners and as a textbook for classroom use, this book provides an understanding of systems engineering (SoSE), enterprise systems engineering (ESE), and complex systems engineering (CSE). Industry practitioners present and analyze case studies from a range of domains that demonstrate the underlying principles and best practices. A number of the case studies focus on addressing real human needs. Diverse approaches such as use of soft systems skills are illustrated in applications, and other helpful techniques are also provided.

Print ISBN: 978-1-4665-0239-0 eBook ISBN: 978-1-4665-0240-6 July 2014, 7 x 10, 808 pp. Suggested Price: $149.95 / 89.00

Artificial Intelligence in Power System OptimizationWeerakorn Ongsakul and Vo Ngoc DieuAsian Institute of Technology, Pathumthani, Thailand

With the considerable increase of AI applications, AI is being increasingly used to solve optimization problems in engineering. In the past two decades, the applications of artificial intelligence in power systems have attracted much research. This book covers the current level of applications of artificial intelligence to the optimization problems in power systems. This book serves as a textbook for graduate students in electric power system management and is also useful for those who are interested in using artificial intelligence in power system optimization.

Print ISBN: 978-1-57808-805-8 eBook ISBN: 978-1-4665-7342-0 May 2013, 6-1/8 x 9-1/4, 520 pp. Suggested Price: $157.95 / 99.00

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Signal ProcessingA Mathematical Approach, Second EditionCharles L. ByrneUniversity of Massachusetts Lowell, USASeries: Monographs and Research Notes in Mathematics, 5

This book explains how mathematical tools can be used to solve problems in signal processing. Assuming an advanced undergraduate- or graduate-level understanding of mathematics, this second edition contains new chapters on convolution and the vector DFT, plane-wave propagation, and the BLUE and Kalman filters. It expands the material on Fourier analysis to three new chapters to provide additional background information, presents real-world examples of applications that demonstrate how mathematics is used in remote sensing, and includes robust appendices and problems for classroom use.


Quantum Mechanics IIAdvanced TopicsShanmuganathan RajasekarBharathidasan University, Tiruchirapalli, India

Ramiah VelusamyANJA College, Tamilnadu, India

This book offers a tutorial guide to some of the most cutting edge topics in quantum mechanics, covering such areas as quantum field theory, path integral formulation, Berrys phase, quantum computing, quantum cryptography, and quantum optoelectronics. The authors explain the basic principles, key features, and applications. They cover quantum technologies as well as emerging areas including quantum versions of the theory of gravity, teleportation, games, cloning, diffusion, and chaos. Problem sets are provided for each chapter with complete solutions at the end of the book and many original figures throughout the text to help the reader visualize important concepts.

Print ISBN: 978-1-4822-6345-9 December 2014, 6-1/8 x 9-1/4, 313 pp. Suggested Price: $129.95 / 82.00

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Quantum Mechanics IThe FundamentalsS. RajasekarBharathidasan University, Tiruchirapalli, India

R. VelusamyANJA College, Tamilnadu, India

Requiring no prior knowledge of the subject, this textbook provides a complete introduction to basic concepts and methods of quantum mechanics. Fully worked, step-by-step examples and end-of-chapter problem sets illustrate the application of formalism to physical problems and develop students ability to solve problems. The text addresses core topics, including Schrdinger wave mechanics, the Heisenberg uncertainty principle, and the hydrogen atom, as well as recent theoretical developments and experimental research breakthroughs.


Polychromatic SetsTheory and ApplicationsShancang LiSwansea University, Wales, UK

Li Da XuOld Dominion University, Norfolk, Virginia, USASeries: Advances in Systems Science and Engineering (ASSE)

Information modeling has significant influence on factors such as performances, quality, costs and the market competition ability of the product. Polychromatic sets (PS) is a new systematic theory and information-processing tool. This book covers the theoretical foundation, fundamental methods and main topics in complexity system modeling methodology. A crystallization of the authors work since 2003, the book covers the latest advances in polychromatic theory and its application, providing a state-of- the-art overview of the complexity system modeling.


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Physics of Continuous MediaProblems and Solutions in Electromagnetism, Fluid Mechanics and MHD, Second EditionGrigory VeksteinUniversity of Manchester, UK

Suitable for any core physics program, this classroom-tested text takes a problems-based approach to teaching continuous media. This revised and expanded edition includes a new chapter on magnetohydrodynamics as well as additional problems and more detailed solutions. Each chapter begins with a summary of the definitions and equations that are necessary to understand and tackle the problems that follow. The text also provides numerous references throughout, including Landau and Lifshitzs famous course of theoretical physics and original journal publications.

Print ISBN: 978-1-4665-1763-9 eBook ISBN: 978-1-4665-1765-3 March 2013, 6-1/8 x 9-1/4, 260 pp., Soft Cover Suggested Price: $62.95 / 39.99

Textbook

Ordinary and Partial Differential EquationsVictor Henner, Tatyana Belozerova, and Mikhail Khenner

This text provides a complete and accessible course on ODEs and PDEs using many examples and exercises as well as intuitive, easy-to-use software. The book includes all the topics that form the core of a modern undergraduate or beginning graduate course in differential equations. It also discusses other optional but important topics such as integral equations, Fourier series, and special functions. Requiring no user programming, the accompanying computer software allows readers to fully investigate problems.

Print ISBN: 978-1-4665-1500-0 eBook ISBN: 978-1-4665-1513-0 January 2013, 7 x 10, 644 pp. Suggested Price: $89.95 / 59.99

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CryptographyTheory and Practice, Third EditionDouglas R. StinsonUniversity of Waterloo, Ontario, CanadaSeries: Discrete Mathematics and Its Applications

The third edition of this best-selling text provides unparalleled coverage of the use of cryptographic protocols that establish the steps that must be taken before any type of secret transmission can be completed. The author shows readers how the various parties to the transaction establish their cryptographic identities or keys, covers many of the cryptographic tools used in network security, and discusses topics that include copyright protection techniques and public key infrastructure. Cryptography: Theory and Practice, Third Edition is an outstanding text for senior undergraduate and graduate courses but also a useful reference for professionals interested in network security and cryptographic protocols.

Print ISBN: 978-1-58488-508-5 eBook ISBN: 978-1-4200-5713-3 November 2005, 6-1/8 x 9-1/4, 616 pp. Suggested Price: $76.95 / 48.99

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Applied CombinatoricsSecond EditionFred S. RobertsRutgers University, Piscataway, New Jersey, USA

Barry TesmanDickinson College, Carlisle, Pennsylvania, USA

Now with solutions to selected problems, this bestselling textbook presents the tools of combinatorics from an applied point of view. It focuses on three basic problems of combinatorics: counting, existence, and optimization problems. The text contains many examples from the biological, computer, and social sciences, including disease screening, genome mapping, satellite communication, search engines, telecommunications traffic, web data, sound systems, oil drilling, dynamic labor markets, data mining, and distributed computing. It also offers numerous references to the literature of combinatorics and its applications that enable readers to delve more deeply into the topics.


An Introduction to the Theory and Practice of Finite FieldsScott A. VanstoneUniversity of Waterloo, Canada

Written by two renowned researchers, this graduate level textbook provides a thorough grounding in the field of cryptography. This topic is central to the graduate level curriculum in mathematics and electrical engineering since finite fields play a central role in the theory and practice of error correcting codes and cryptography. The authors are planning to make this book as comprehensive as possible in coverage in that it includes both theory and the more practical side of the topic. Unlike many of the other books on this topic the authors do not require a sophisticated background in linear algebra.


Algebraic Curves in CryptographySan Ling, Huaxiong Wang, and Chaoping XingSeries: Discrete Mathematics and Its Applications

This self-contained book is one of the first to focus on many topics in cryptography involving algebraic curves. After supplying the necessary background on algebraic curves, the authors discuss error-correcting codes, including algebraic geometry codes, and provide an introduction to elliptic curves. Each chapter in the remainder of the book deals with a selected topic in cryptography (other than elliptic curve cryptography). The topics covered include secret sharing schemes, authentication codes, frameproof codes, key distribution schemes, broadcast encryption, and sequences.

Print ISBN: 978-1-4200-7946-3 eBook ISBN: 978-1-4200-7947-0 June 2013, 6-1/8 x 9-1/4, 340 pp. Suggested Price: $83.95 / 53.99

Waves and Oscillations in NatureAn IntroductionA. Satya Narayanan and Swapan K. Saha

This book explores the physics behind the waves and oscillations encountered in nature. The book, which is written from a theoretical point of view, begins with a brief description of a wave. This is followed by basic equations, conservation laws, the concept of phase velocity, group velocity, and dispersion relation. The book also discusses waves in different areas such as optics, electromagnetism, hydrodynamics, magnetohydrodynamics, shock waves, and plasma physics. The book also provides a brief description of different instabilities. This book is aimed at graduate students and researchers working in various areas including fluid dynamics, plasma physics, optics, geophysics, solar physics, and space physics.

Print ISBN: 978-1-4665-9093-9 April 2015, 6-1/8 x 9-1/4, 400 pp. Suggested Price: $99.95 / 63.99

Spatial MathematicsTheory and Practice through MappingSandra Lach ArlinghausUniversity of Michigan, Ann Arbor, Michigan, USA

Joseph J. KerskiEnvironmental Systems Research Institute, Lakewood, Colorado, USA

Spatial mathematics and analysis, two different approaches to scholarship, yield different results and employ different tools. This book explores both approaches to looking at real world issues that have mathematics as a critical, but often unseen, component. Readers learn the mathematics required to consider the broad problem at hand, rather than learning mathematics according to the determination of a (perhaps) artificial curriculum. This format motivates readers to explore diverse realms in the worlds for geography and mathematics and in their interfaces.


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Graphs & DigraphsFifth EditionGary Chartrand, Linda Lesniak, and Ping Zhang

This student-friendly, classroom-tested text remains the consummate introduction to graph theory. Nearly 50 percent longer than its bestselling predecessor, this edition reorganizes the material and presents many new topics, including graph minors, perfect graphs, chromatic polynomials, nowhere-zero flows, flows in networks, degree sequences, toughness, list colorings, and list edge colorings. It also contains new examples, figures, and applications; expanded historical discussions of well-known mathematicians and problems; and more than 300 new exercises, along with hints and solutions to odd-numbered exercises. A solutions manual is available for qualifying instructors.

Print ISBN: 978-1-4398-2627-0 eBook ISBN: 978-1-4398-2629-4 October 2010, 6-1/8 x 9-1/4, 598 pp. Suggested Price: $97.95 / 56.99

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Graph Theory and Its ApplicationsSecond EditionJonathan L. GrossColumbia University, New York, USA

Jay YellenRollins College, Winter Park, Florida, USASeries: Textbooks in Mathematics

Already the most widely used textbook on graph theory, Gross and Yellens Graph Theory and Its Applications enhances its appeal with the release of this refreshed and expanded second edition. The superior explanations, original applications, and abundance of study problems that positioned it as the preferred selection of classroom professors worldwide are still to be found. Nearly 200 pages have been added to the second edition including two new chapters, hundreds of new exercises, mostly non-routine; and illustrated solutions and hints to selected exercises. The authors also extensively revised and reorganized more than half of the previously existing chapters.

Print ISBN: 978-1-58488-505-4 eBook ISBN: 978-1-4200-5714-0 September 2005, 7 x 10, 800 pp. Suggested Price: $99.95 / 62.99

Elliptic CurvesNumber Theory and Cryptography, Second EditionLawrence C. WashingtonUniversity of Maryland, College Park, USASeries: Discrete Mathematics and Its Applications

Like its bestselling predecessor, this second edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. It now includes new chapters on isogenies and hyperelliptic curves, a more complete treatment of the TateLichtenbaum pairing, alternative coordinate systems and related computational issues, and Douds analytic method for computing torsion on elliptic curves over Q. This edition also discusses how to perform computations with elliptic curves in several popular computer algebra systems. Basic exercises appear at the end of each chapter.

Print ISBN: 978-1-4200-7146-7 eBook ISBN: 978-1-4200-7147-4 April 2008, 6-1/8 x 9-1/4, 536 pp. Suggested Price: $115.95 / 73.99

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Discrete Structures and Their InteractionsJason I. BrownDalhousie University, Halifax, CanadaSeries: Discrete Mathematics and Its Applications

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


Textbook

Discrete Mathematics with Duckssarah-marie belcastroSmith College, Northampton, Massachusetts, USA

Suitable for an introductory discrete mathematics course, this text covers the subfields of mathematics and computer science that fall under the general umbrella term. It fits the ideas of the basic curriculum as outlined in the SIGCSE guidelines into a framework that focuses on content rather than technique. The book covers standard and practical topics required in discrete math classes. The author also incorporates classroom activities as well as instructors notes at the end of every chapter.


Textbook

Discrete Algorithmic MathematicsThird EditionStephen B. MaurerSwarthmore College, Pennsylvania, USA

Anthony Ralston

Thoroughly revised for a one-semester course, this well-known and highly regarded book is an outstanding text for undergraduate discrete mathematics. It has been updated with new or extended discussions of order notation, generating functions, chaos, aspects of statistics, and computational biology. Written in a lively, clear style, the book is unique in its emphasis on algorithmics and the inductive and recursive paradigms as central mathematical themes. It includes a broad variety of applications, not just to mathematics and computer science, but to natural and social science as well.

Print ISBN: 978-1-56881-166-6 January 2005, 7-1/2 x 9-1/2, 803 pp. Suggested Price: $109.95 / 69.99

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Handbook of Finite FieldsGary L. MullenPennsylvania State University, University Park, USA

Daniel PanarioCarleton University, Ottawa, Ontario, CanadaSeries: Discrete Mathematics and Its Applications

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


Handbook of Enumerative CombinatoricsEdited by

Miklos BonaUniversity of Florida, Gainesville, USASeries: Discrete Mathematics and Its Applications

Written by prominent, next-generation researchers, this significant new handbook covers the state of the art in enumerative combinatorics. They represent the international spectrum of authorship and all have strong research histories. The book begins with coverage of algebraic methods and analytic methods, then goes on to cover Young tableaux, unimodality, log-concavity, real zeros, asymptotic normality, trees, generalized catalan paths, computerized enumeration schemes, lattice paths, enumeration of various graph classes, words, tilings, enumeration of maps, pattern avoidance, and parking functions.

Print ISBN: 978-1-4822-2085-8 March 2015, 7 x 10, 1600 pp. Suggested Price: $149.95 / 99.95

Handbook of Elliptic and Hyperelliptic Curve CryptographySecond EditionEdited by

Henri Cohen, Gerhard Frey, Roberto Avanzi, Christophe Doche, Tanja Lange, Kim Nguyen, and Frederik VercauterenSeries: Discrete Mathematics and Its Applications

This handbook provides a complete reference on elliptic and hyperelliptic curve cryptography. Addressing every aspect of the field, the book contains all of the background necessary to understand the theory and security of cryptosystems as well as the algorithms that can be used to implement them. This second edition features the latest developments on pairing-based cryptography, new ideas on index-calculus attacks, improved algorithms for genus-2 arithmetic, and a number of other new additions. It also includes many new applications and provides better explanations on some of the more mathematical presentations.


Textbook

Handbook of Applied CryptographyAlfred J. Menezes, Paul C. van Oorschot, and Scott A. VanstoneSeries: Discrete Mathematics and Its Applications

The Handbook of Applied Cryptography serves as a valuable reference for novices as well as for experts. It provides a multifunctional treatment that introduces the more practical aspects of both conventional and public-key cryptography, and offers a valuable source of techniques and algorithms for serious practitioners. The book contains enough abstraction for theoreticians and provides enough detail to actually allow implementation of the algorithms discussed. With outstanding organization that allows easy access to all information, it includes more than 200 algorithms and protocols, extensive cross referencing, and more than 1,250 references that include brief comments on each entry.

Print ISBN: 978-0-8493-8523-0 eBook ISBN: 978-1-4398-2191-6 October 1996, 7 x 10, 816 pp. Suggested Price: $97.95 / 46.99

Group Theoretic CryptographyMaria Isabel Vasco, Spyros Magliveras, and Rainer SteinwandtChapman & Hall/CRC Cryptography and Network Security Series

Group theoretic problems appear to be the most promising source of hard computational problems for deploying new cryptographic constructions. This reference focuses on the specifics of using nonabelian groups in the field of cryptography. It provides an introduction to cryptography (mostly asymmetric) with a focus on group theoretic constructions, making it the first book to use this approach. The authors include all of the needed cryptographic and group theoretic concepts. They supply exercises at the end of each chapter, selected solutions in the back of the book, and suggestions for student projects that require the use of the computer or computer algebra systems.


Graph-Theoretical Matrices in ChemistryDusanka Janezic, Ante Milicevic, Sonja Nikolic, and Nenad Trinajstic

Divided into five sections, this book offers 200 graph-theoretical matrices covering adjacency and related matrices, distance and related matrices, incidence matrices, and special and graphical matrices. It provides insight into the properties and potential usefulness of many novel graph-theoretical matrices in chemistry. Most of the graph-theoretical matrices presented have been used as sources of molecular descriptors usually referred to as topological indices. They are particularly concerned with a special class of graphs that represents chemical structures involving molecules.


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New Directions of Modern CryptographyZhenfu CaoShanghai Jiao Tong University, China

The study of cryptography is motivated by and driven forward by security requirements. This volume presents the fundamental definitions, precise assumptions, and rigorous security proofs of cryptographic primitives and related protocols. It also describes how they originated from security requirements and how they are applied. Providing vivid demonstrations of how modern cryptographic techniques can be used to solve security problems, the books applications cover wired and wireless communication networks, satellite communication networks, multicast/broadcast and TV networks, and newly emerging networks. It also describes some open problems that challenge the new directions of modern cryptography.

Print ISBN: 978-1-4665-0138-6 eBook ISBN: 978-1-4665-0140-9 December 2012, 6-1/8 x 9-1/4, 400 pp. Suggested Price: $109.95 / 69.99

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Introduction to Information Theory and Data CompressionThird EditionPeter D. Johnson, Jr.Auburn University, Alabama, USASeries: Applied Mathematics

This unique text imparts the fundamentals of both information theory and data compression. Although the two topics are related, this text allows either topic to be presented independently and the data compression section requires no previous knowledge of information theory. The treatment of information theory is theoretical and abstract but elementary.


Textbook

Introduction to Enumerative CombinatoricsSecond EditionMiklos BonaUniversity of Florida, Gainesville, USA

Divided into three parts, this book fills in the gap between introductory texts in discrete mathematics and advanced graduate textbooks in enumerative combinatorics. Part I deals with basic counting principles, compositions and partitions, and generating functions. Part II focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Finally, Part III covers supplemental topics, including error-correcting codes, properties of sequences, and magic squares.

Print ISBN: 978-1-4822-4909-5 May 2015, 6-1/8 x 9-1/4, 550 pp. Suggested Price: $79.95 / 49.95

Introduction to Closure SystemsRobert E. JamisonClemson University, South Carolina, USASeries: Discrete Mathematics and Its Applications

The notion of closure pervades mathematics, especially in the fields of topology and projective geometry. Demonstrating this pervasiveness in the field, this graduate-level book provides a complete introduction to closure systems. With an emphasis on finite spaces and algebraic closures, the text covers graph theory, ordered sets, lattices, projective geometry, and formal logic as they apply to the study of closures. Each chapter presents a vignette to illustrate the topic covered. The author also includes numerous exercises as well as concrete examples to support the material discussed.


Handbook of Graph TheorySecond EditionEdited by

Jonathan L. Gross, Jay Yellen, and Ping ZhangSeries: Discrete Mathematics and Its Applications

With 34 new contributors, this best-selling handbook provides comprehensive coverage of the main topics in pure and applied graph theory. This second editionover 400 pages longer than its predecessorincorporates 14 new sections. Each chapter includes lists of essential definitions and facts, accompanied by examples, tables, remarks, and, in some cases, conjectures and open problems. A bibliography at the end of each chapter provides an extensive guide to the research literature and pointers to monographs. This edition also contains notes regarding terminology and notation.


Handbook of Graph Drawing and VisualizationEdited by

Roberto TamassiaBrown University, Providence, Rhode Island, USASeries: Discrete Mathematics and Its Applications

Edited by a pioneer in graph drawing and with contributions from leaders in the graph drawing research community, this handbook shows how graph drawing and visualization can be applied in the physical, life, and social sciences. It covers topological and geometric foundations, algorithms, software systems, and visualization applications. Whether you are a mathematics researcher, IT practitioner, or software developer, the book will help you understand graph drawing methods and graph visualization systems, use graph drawing techniques in your research, and incorporate graph drawing solutions in your products.

Print ISBN: 978-1-58488-412-5 eBook ISBN: 978-1-4200-1026-8 August 2013, 7 x 10, 862 pp. Suggested Price: $104.95 / 65.99

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An Introduction to Partial Differential Equations with MATLAB

Second EditionMatthew P. ColemanFairfield University, Connecticut, USASeries: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

Updated throughout, this second edition of a bestseller illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. It shows students how PDEs can model diverse problems, including the flow of heat, the propagation of sound waves, the spread of algae along the oceans surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. The text also contains many exercises, including standard ones and graphical problems using MATLAB.


Visualization Analysis and DesignTamara MunznerUniversity of British Columbia, Vancouver, CanadaAK Peters Visualization Series

This book provides a systematic, comprehensive framework for thinking about visualization in terms of principles and design choices. It features a unified approach encompassing information visualization techniques for abstract data, scientific visualization techniques for spatial data, and visual analytics techniques for interweaving data transformation and analysis with interactive visual exploration. Suitable for both beginners and more experienced designers, the book does not assume any experience with programming, mathematics, humancomputer interaction, or graphic design.

Print ISBN: 978-1-4665-0891-0 November 2014, 7-1/2 x 9-1/4, 428 pp., Pack - Book and Ebook Suggested Price: $69.95 / 49.99

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Student Ready Reference and Study Supplement for Discrete Mathematics for Duckssarah-marie belcastroSmith College, Northampton, Massachusetts, USA

This student reference and study guide supplements the authors popular Discrete Mathematics with Ducks. It is arranged to mirror the topics and questions in the textbook. Instructors will have more flexibility in which problems they assign for homework and in which problems they use on exams.

Print ISBN: 978-1-4987-1404-4 April 2015, 6-1/8 x 9-1/4, 200 pp., Soft Cover Suggested Price: $29.95 / 19.99

Secret HistoryThe Story of CryptologyCraig P. BauerYork College of Pennsylvania and National Security Agency Center for Cryptologic History (2011-2012 Scholar-in-Residence), USASeries: Discrete Mathematics and Its Applications

Most available cryptology books primarily focus on either mathematics or history. Breaking this mold, Secret History gives a thorough yet accessible treatment of both the mathematics and history of cryptology. Requiring minimal mathematical prerequisites, the book presents the mathematics in sufficient detail and weaves the history throughout the chapters. In addition to the fascinating historical and political sides of cryptology, the authora former Scholar-in-Residence at the U.S. National Security Agency Center for Cryptologic Historyincludes interesting instances of codes and ciphers in crime, literature, music, and art.

Print ISBN: 978-1-4665-6186-1 eBook ISBN: 978-1-4665-6187-8 March 2013, 6-1/8 x 9-1/4, 620 pp. Suggested Price: $71.95 / 45.99

Quantitative Graph TheoryMathematical Foundations and ApplicationsEdited by

Matthias Dehmer and Frank Emmert-StreibSeries: Discrete Mathematics and Its Applications

This is the first book devoted exclusively to quantitative graph theory. It presents and demonstrates existing and novel methods for analyzing graphs quantitatively. Incorporating interdisciplinary knowledge from graph theory, information theory, measurement theory, and statistical techniques, this book covers a wide range of quantitative-graph theoretical concepts and methods, including those pertaining to real and random graphs. Through its broad coverage, this text fills a gap in the contemporary literature of discrete and applied mathematics, computer science, systems biology, and related disciplines.

Print ISBN: 978-1-4665-8451-8 October 2014, 6-1/8 x 9-1/4, 528 pp. Suggested Price: $99.95 / 63.99

Textbook

Introduction to Modern CryptographySecond EditionJonathan KatzUniversity of Maryland, College Park, USA

Yehuda LindellBar-Ilan University, Ramat Gan, IsraelChapman & Hall/CRC Cryptography and Network Security Series

This updated and expanded second edition of a highly praised text provides a rigorous yet accessible account of modern cryptography, focusing on formal definitions, assumptions, and rigorous proofs of security. The first half of the book gives an extensive treatment of private-key cryptography, including encryption, message authentication, and design principles for block ciphers. The second half focuses on public-key cryptography, including number theory; the RSA, Diffie-Hellman, and El Gamal cryptosystems; public-key encryption and digital signatures; and the random oracle model and its applications.


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Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger EquationsVictor A. Galaktionov, Enzo L. Mitidieri, and Stanislav I. PohozaevSeries: Monographs and Research Notes in Mathematics

This book shows how four types of higher-order nonlinear evolution PDEs have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs, describe many properties of the equations, and examine traditional questions of existence/nonexistence, uniqueness/nonuniqueness, global asymptotics, regularizations, shock-wave theory, and various blow-up singularities. The book illustrates how complex PDEs are used in a variety of applications and describes new nonlinear phenomena for the equations.


Asymptotic Analysis and Perturbation TheoryWilliam PaulsenArkansas State University, Jonesboro, USA

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

Print ISBN: 978-1-4665-1511-6 eBook ISBN: 978-1-4665-1512-3 July 2013, 6-1/8 x 9-1/4, 550 pp. Suggested Price: $115.95 / 73.99

Approximate Analytical Methods for Solving Ordinary Differential EquationsT.S.L Radhika, T. K.V. Iyengar, and T. Raja Rani

This is the first book to present all of the available approximate methods for solving ODEs, eliminating the need to wade through multiple books and articles. The book covers both well-established techniques and recently developed procedures. Detailed examples elucidate the application of these methods to solve real-world problems. The book will help readers understand the diverse methods used to tackle differential equations in many application domains, such as mathematics, engineering, biology, physics, and economics.


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Applied Differential EquationsAn IntroductionVladimir A. DobrushkinBrown University, Providence, Rhode Island, USASeries: Textbooks in Mathematics, 18

This text provides a comprehensive exposition of the main methods used in differential equations. It includes many applications and examples relevant to students in engineering, economics, science, and biology. The text gives detailed descriptions of theoretical treatments, provides step-by-step solutions to problems, and offers exercises ranging from simple to challenging. It also covers Mathematica, Maple, MATLAB, and noncommercial software packages. The authors website contains supplementary material to extend learning.

Print ISBN: 978-1-4398-5104-3 December 2014, 7 x 10, 712 pp. Suggested Price: $99.95 / 49.99

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Advanced CalculusTheory and PracticeJohn Srdjan PetrovicWestern Michigan University, Kalamazoo, USASeries: Textbooks in Mathematics

This text expands on the material covered in elementary calculus and presents this material in a rigorous manner yet makes the ideas less abstract to students. The text improves students problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. Nearly 300 examples lead to important theorems as well as help students develop the necessary skills to closely examine the theorems.

Print ISBN: 978-1-4665-6563-0 eBook ISBN: 978-1-4665-6567-8 November 2013, 7 x 10, 572 pp. Suggested Price: $104.95 / 66.99

Abstract Volterra Integro-Differential EquationsEdited by

Marko KosticUniversity of Novi Sad, Serbia

The theory of linear Volterra Integro-differental equations has been developing rapidly in the last three decades. This book provides an easy-to-read, concise introduction to the theory of ill-posed abstract Volterra Integro-differential equations. It is accessible to readers whose backgrounds include functions of one complex variable, integration theory and the basic theory of locally convex spaces. Each chapter is further divided into sections and subsections, and contains plenty of examples and open problems.

Print ISBN: 978-1-4822-5430-3 February 2015, 6 x 9, 220 pp. Suggested Price: $149.95 / 95.00

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Differential Equations with MATLAB

Exploration, Applications, and TheoryMark McKibbenWest Chester University, Pennsylvania, USA

Micah D. WebsterGoucher College, Baltimore, Maryland, USASeries: Textbooks in Mathematics

Designed for an undergraduate course on mathematical modeling or differential equations, this text provides students with an understanding of the practical and theoretical aspects of mathematical models involving ODEs and PDEs. It develops students intuition by building the theory from the ground up and illustrates the analysis of more than 20 distinct models through concrete applications in physics, engineering, finance, and many other areas. The book also uses MATLAB GUIs that enable students to discover patterns and make conjectures.

Print ISBN: 978-1-4665-5707-9 eBook ISBN: 978-1-4665-5709-3 September 2014, 7 x 10, 472 pp. Suggested Price: $99.95 / 63.99

Textbook

Differential Equations with Applications and Historical NotesThird EditionGeorge F. SimmonsSeries: Textbooks in Mathematics

Written by a highly respected educator, this third edition updates the classic text designed for a first course in differential equations. With an emphasis on modeling, this edition presents a new section on Gausss bell curve and improved sections on Fourier analysis, numerical methods, and linear algebra. The text includes unique examples and exercises as well as interesting historical notes throughout.

Print ISBN: 978-1-4987-0259-1 February 2015, 6-1/8 x 9-1/4, 664 pp. Suggested Price: $99.95 / 63.99

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Differential EquationsTheory, Technique and Practice, Second EditionSteven G. KrantzWashington University, St. Louis, Missouri, USASeries: Textbooks in Mathematics, 17

This new edition offers a solid yet thoroughly modernized introduction to differential equations while retaining the inviting style, lively historical notes, thought-provoking problems, modeling coverage, and vibrant treatment of nonlinear problems and dynamical systems. This edition carefully augments explanations as needed, adds examples, and expands the exercise sets. A new appendix on linear algebra replaces a briefer discussion. The text also includes new material on eigenvalues, matrix methods for solving linear systems, and predator-prey problems.


Difference EquationsTheory, Applications and Advanced Topics, Third EditionRonald E. MickensClark Atlanta University, SW Atlanta, Georgia, USA

This book covers many important classes of difference equations, including general, linear, first, second, and Nth order, along with nonlinear equations, partial difference equations, functional equations, and Nth order equations having constant coefficients. It presents a wide range of techniques for calculating exact and approximate solutions. Numerous worked examples illustrate the use of the methodologies. This edition includes new chapters on advanced topics, such as asymptotic behavior of solutions and functional equations, as well as problems that have appeared in the recent mathematical literature.


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A Course in Ordinary Differential EquationsSecond EditionRandall J. SwiftCalifornia State Polytechnic University, Pomona, USA

Stephen A. WirkusArizona State University, Glendale, USA

With updated MATLAB, Mathematica, and Maple code throughout, this second edition emphasizes more computational/numerical aspects as well as more applications and modeling in various fields. Along with new problems of varying levels of difficulty, this edition includes rewritten chapters on systems and techniques of differential equations. Chapter summaries highlight key concepts and associated computer codes. This edition also offers updated, more detailed ancillary materials.


Textbook

A Course in Ordinary Differential EquationsRandall J. SwiftCalifornia State Polytechnic University, Pomona, USA

Stephen A. WirkusArizona State University, Glendale, USA

Featuring real-world applications from engineering and science fields, A Course in Ordinary Differential Equations is the first book on ordinary differential equations (ODEs) to include relevant computer code and instructions of MATLAB, Mathematica, and Maple. The book embeds the computer algebra code throughout, presenting the syntax next to the relevant theory. It fully describes approximations used to obtain numerical solutions. The authors also present explanations on how to use these programs to solve ODEs and to qualitatively understand autonomous ODEs. With numerous appendices to supplement learning, this book is ideal for students and professionals in mathematics, engineering, and the sciences.

Print ISBN: 978-1-58488-476-7 eBook ISBN: 978-1-4200-1041-1 October 2006, 6-1/8 x 9-1/4, 688 pp. Suggested Price: $109.95 / 49.99

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Handbook of Integrals and Series Set (Volumes I and II)Yury A. BrychkovDorodricyn Computing Center, Moscow, Russia

Oleg MarichevWolfram Research, Inc., Champaign, Illinois, USA

This handbook presents many known results as well as new classes of integrals, series, power expansions, and productions of elementary and special functions. It shows how modern computer algebra methods are used to solve various problems in science and engineering. The first volume of the set covers indefinite and definite integrals, finite sums, indefinite series, and formulas that can be used in the evaluation and transformation of integrals and series. The second volume contains formulas devoted to mathematical physics, including the Meijer G-function and properties of hypergeometric functions.

Print ISBN: 978-1-4398-2900-4 July 2015, 7 x 10, 2688 pp. Suggested Price: $249.95 / 159.00

Handbook of Integrals and SeriesElementary Functions, Volume IYury A. BrychkovDorodricyn Computing Center, Moscow, Russia


This handbook presents many known results as well as new classes of integrals, series, power expansions, and productions of elementary and special functions. It shows how modern computer algebra methods are used to solve various problems in science and engineering. The first volume of the set focuses on elementary functions, covering indefinite and definite integrals, finite sums, and indefinite series. It also includes formulas that can be used in the evaluation and transformation of integrals and series.


Handbook of Integrals and SeriesSpecial Functions, Volume IIYury A. BrychkovDorodricyn Computing Center, Moscow, Russia


This handbook presents many known results as well as new classes of integrals, series, power expansions, and productions of elementary and special functions. It shows how modern computer algebra methods are used to solve various problems in science and engineering. The second volume of the set contains formulas devoted to mathematical physics, including the Meijer G-function and properties of hypergeometric functions. Using these tools, readers can evaluate and simplify numerous new integrals and sums.


Greens Functions with ApplicationsSecond EditionDean G. DuffyFormer Instructor, US Naval Academy, Annapolis, Maryland, USASeries: Applied Mathematics

This second edition systematically leads readers through the process of developing Greens functions for ordinary and partial differential equations. In addition to exploring the classical problems involving the wave, heat, and Helmholtz equations, the book includes special sections on leaky modes, water waves, and absolute/convective instability. The book helps readers develop an intuition about the behavior of Greens functions, and considers the questions of the computational efficiency and possible methods for accelerating the process.


Generalized Calculus with Applications to Matter and ForcesLuis Manuel Braga de Costa CamposUniversity of Lisbon, PortugalSeries: Mathematics and Physics for Science and Technology

This volume combines mathematical theory, physical principles, and engineering problems to present generalized functions from an applied point of view. It examines the Heaviside unit jump and the Dirac unit impulse and its derivatives in one and several dimensions. Containing step-by-step examples with interpretations of results and discussions of assumptions and their consequences, the text covers Gauss and Stokes theorems, self-adjoint and non-self-adjoint problems, multipolar expansions, Greens functions, and more to enable readers to construct mathematicalphysical models suited to new observations or novel engineering devices.

Print ISBN: 978-1-4200-7115-3 eBook ISBN: 978-1-4822-8157-6 April 2014, 7 x 10, 885 pp. Suggested Price: $89.95 / 39.95

Discrete Dynamical Systems and Chaotic MachinesTheory and ApplicationsJacques M. Bahi and Christophe GuyeuxUniversity of Franche-Comt, Belfort, FranceChapman & Hall/CRC Numerical Analysis and Scientific Computing Series

Until the authors recent research, the practical implementation of the mathematical theory of chaos on finite machines raised several issues. This self-contained book shows how to make finite machines, such as computers, neural networks, and wireless sensor networks, work chaotically as defined in a rigorous mathematical framework. Taking into account that these machines must interact in the real world, th

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CRC Press Math Catalogue