Mathematics Courses

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CRC Press Textbooks

New and Noteworthy Textbooks for Your

Mathematics Courses

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CRC Press Taylor & Francis Group

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CONTENTS

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MATHEMATICS UNDERGRADUATE TEXTBOOKS Discrete Mathematics ............................................3 Mathematics for Elementary Education..................4 Geometry................................................................4 Transition to Advanced Mathematics ....................5 Analysis....................................................................6 Ordinary Differential Equations ..............................7 Partial Differential Equations ..................................7 Mathematical Modeling ........................................8 Numerical Analysis & Numerical Methods ............9 Combinatorics ......................................................10 Introduction to Graph Theory..............................10 Introduction to Mathematical Finance ................11 Cryptography ......................................................11 Introduction to Abstract Algebra..........................12 Liberal Arts Mathematics ......................................12 ELECTIVE & GRADUATE TEXTBOOKS ..............13 PROBABILITY & STATISTICS UNDERGRADUATE TEXTBOOKS Probability ............................................................14 Probability and Statistics for Engineers ................15 Stochastic Processes..............................................15 Monte Carlo Methods ..........................................15 Statistics for Social & Behavioral Sciences ............16 GRADUATE TEXTBOOKS....................................16 OPERATIONS RESEARCH, FINANCIAL MATHEMATICS, & BUSINESS MANAGEMENT GRADUATE TEXTBOOKS....................................17 MATHEMATICS for COMPUTER SCIENCE UNDERGRADUATE TEXTBOOKS ......................19 MATHEMATICS for ENGINEERING GRADUATE TEXTBOOKS....................................20 MATHEMATICAL & SYSTEMS BIOLOGY..............22 For more information and complete tables of contents or to request your complimentary inspection copy visit

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Mathematics – Undergraduate Textbooks Discrete Mathematics Discrete Structures and Their Interactions Jason I. Brown Dalhousie University, Halifax, Canada

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.

• Covers discrete structures from a variety of viewpoints, including combinatorial, algebraic, probabilistic, analytic, and logical

Discrete Mathematics with Ducks sarah-marie belcastro Research Associate, Smith College, Northampton, Massachusetts, USA

“... an incredible book ... readable by students, useful for instructors, and constructed with style and flair.

This book will make it much easier to teach an exciting, student-centered discrete mathematics course that will also serve as an excellent introduction to advanced critical thinking, problem solving, and proofs. And there are ducks!”

—Douglas Shaw, University of Northern Iowa Solutions manual available upon qualifying course adoption

Catalog no. K14547, June 2012, 580 pp.

ISBN: 978-1-4665-0499-8, $62.95 / £41.99 Also available as an eBook

• Develops deep connections between different fields of mathematics, encouraging students to think creatively and analytically • Supplies a more general introduction to discrete structures than other texts • Includes extensive end-of-chapter exercises, with selected solutions at the back of the book • Offers suggestions for research projects Solutions manual available upon qualifying course adoption

Selected Contents: Introduction. Discrete Structures—A Common Framework: Isomorphism.

Substructures. Properties, Parameters and Operations.

Representations and Models.

Graphs and Directed Graphs.

Preorders and Partial Orders: Finite Topologies and Preorders.

Representing Preorders and Partial Orders.

Hypergraphs: Applying Hypergraphs.

Modeling Hypergraphs.

Complexes and Multicomplexes.

Research Problems.

Bibliography.

Selected Solutions.

Appendices.

Index.

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

“The text is readable, there are many examples, and in many cases proofs of the theorems are included. A large number of exercises are provided and split into two categories, the traditional math problem and exercises to be performed on a computer. … an excellent text for the development of the needed skills in math.”

—Charles Ashbacher, MAA Reviews, March 2011 Solutions manual available upon qualifying course adoption

Catalog no. K10918, January 2011, 1002 pp.

ISBN: 978-1-4398-1768-1, $104.95 / £46.99 Also available as an eBook

Catalog no. K16844, June 2013, 224 pp.

ISBN: 978-1-4665-7941-5, $79.95 / £49.99 Also available as an eBook

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Mathematics – Undergraduate Textbooks Mathematics for Elementary Education / Geometry Project Origami Activities for Exploring Mathematics, Second Edition Thomas Hull This classroom-tested text presents a flexible, discoverybased approach to learning origami-math topics. It helps students see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry to the fields of algebra, number theory, and combinatorics. With over 100 new pages, this updated and expanded edition now includes 30 activities and offers better solutions and teaching tips for all activities. Each activity lists courses in which the activity might fit, includes handouts for classroom use, and provides notes for instructors.

• Presents 30 origami activities, complete with handouts, solutions, and instructor’s guides • Covers many mathematical areas, including geometry, multivariable calculus, and graph theory • Offers a flexible approach to using the material in a variety of math courses • Improves the solutions and teaching tips for all activities • Provides PDFs of the handouts on the book’s CRC Press web page

Selected Contents: Introduction. Folding Equilateral Triangles in a Square. Origami Trigonometry. Dividing a Length into Equal Nths: Fujimoto Approximation. Dividing a Length into Equal Nths Exactly. Origami Helix.

Folding a Parabola. Can Origami Trisect an Angle?

Solving Cubic Equations. Lill’s Method. Folding Strips into Knots. Haga’s “Origamics.” Modular Star Ring.

Folding a Butterfly Bomb. Molly’s Hexahedron.

Business Card Modulars. Five Intersecting Tetrahedra.

Making Origami Buckyballs. Making Origami Tori.

Modular Menger Sponge. Folding and Coloring a Crane. Exploring Flat Vertex Folds.Impossible Crease Patterns. Folding a Square Twist. Counting Flat Folds.

Self-Similar Wave. Matrix Model of Flat Vertex Folds.

Matrix Model of 3D Vertex Folds. Origami and Homomorphisms. Rigid Folds 1: Gaussian Curvature.

Rigid Folds 2: Spherical Trigonometry. Appendix.

Bibliography. Index.

Catalog no. K16368, December 2012, 364 pp.

Soft Cover, ISBN: 978-1-4665-6791-7 $52.95 / £33.99 Also available as an eBook

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

“Well-rounded approaches to logic and proofs have been achieved in Number, Shape, & Symmetry. … It is good to see the arithmetic developed in detail from the fundamental axioms so that students have a clear understanding of each consequence. It is also good that the authors do not take for granted how to solve equations … When I was reading the text, I thought it was my own personal professor who was not only teaching and presenting material, but was guiding me through each step of the lesson through clear examples, as if presented in a face-to-face class. … On the college level, this is a great book to use as either a primary or supplementary book for a number theory class.”

—Peter Olszewski, MAA Reviews, August 2013 Solutions manual available upon qualifying course adoption

Catalog no. K15328, October 2012, 444 pp.

ISBN: 978-1-4665-5464-1, $73.95 / £46.99 Also available as an eBook

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

Selected Contents: Lines, Distance, Segments, and Rays. Angles, Angle Measure, and Plane Separation. Unified Geometry: Triangles and Congruence. Quadrilaterals, Polygons, and Circles. Three Geometries. Inequalities for Quadrilaterals: Unified Trigonometry. Beyond Euclid: Modern Geometry. Transformations in Modern Geometry. Non-Euclidean Geometry: Analytical Approach. Appendices. Solutions to Selected Problems. Bibliography. Index.

Solutions manual available upon qualifying course adoption

Catalog no. K11008, June 2011, 652 pp.

ISBN: 978-1-4398-1911-1, $98.95 / £62.99 Also available as an eBook

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Mathematics – Undergraduate Textbooks Transition to Advanced Mathematics New!

Mathematics A Minimal Introduction Alexandru Buium University of New Mexico, Albuquerque, USA

Bridging the gap between procedural mathematics that emphasizes calculations and conceptual mathematics that focuses on ideas, this text presents an undergraduate-level introduction to pure mathematics and basic concepts of logic. The author builds logic and mathematics from scratch using essentially no background except natural language. He also carefully avoids circularities that are often encountered in related books and places special emphasis on separating the language of mathematics from metalanguage and eliminating semantics from set theory.

• Carefully distinguishes between the language of mathematics and metalanguage • Assumes no prior knowledge of logic or mathematics • Begins with the analysis of language and ends with some advanced mathematics • Avoids circularities between logic and mathematics • Discusses the interplay between mathematics and other fields

Contents: Pre-Mathematical Logic: Languages.

Metalanguage. Syntax. Semantics. Tautologies.

Witnesses. Theories. Proofs. Argot. Strategies.

Examples. Mathematics: ZFC. Sets. Maps. Relations.

Operations. Integers. Induction. Rationals.

Combinatorics. Sequences. Reals. Topology.

Imaginaries. Residues. p-adics. Groups. Orders.

Vectors. Matrices. Determinants. Polynomials.

Congruences. Lines. Conics. Cubics. Limits. Series.

Trigonometry. Integrality. Reciprocity. Calculus.

Metamodels. Categories. Functors. Objectives.

Mathematical Logic: Models. Incompleteness.

Bibliography. Index.

Catalog no. K22035, November 2013, 226 pp.

Soft Cover, ISBN: 978-1-4822-1600-4 $49.95 / £32.95 Also available as an eBook

Elements of Advanced Mathematics Third Edition Steven G. Krantz Washington University, St. Louis, Missouri, USA

“… one of the difficulties that students have with university mathematics is being able to relate it to what they’ve done at school. … another problem to be addressed is to represent mathematics as a way of knowing—rather than a static body of formalized knowledge. In this book, Steven Krantz tackles this anomaly by including many open-ended problems in the rich collections of exercises. … The new chapters on theoretical computer science are concisely lucid, and I learned much by reading them. … this book engages the reader in really meaningful aspects of mathematics: it is well organized and is written with accuracy. … it is recommended as a possible course text for those who are planning to teach a foundation course.”

—P.N. Ruane, MAA Reviews, July 2012

• Prepares students for higher-level studies in real analysis, abstract algebra, and topology • Adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption • Provides clear explanations of proof techniques • Applies elementary group theory and logic to zero-knowledge proofs and RSA encryption, illustrating the practical application of mathematics • Contains many new examples and problems, with selected solutions at the back of the book Solutions manual available upon qualifying course adoption

Selected Contents: Basic Logic. Methods of Proof. Set Theory. Relations and Functions. Axioms of Set Theory, Paradoxes, and Rigor. Number Systems. More on the Real Number System. A Glimpse of Topology. Theoretical Computer Science. The P/NP Problem. Examples of Axiomatic Theories. Zero-Knowledge Proofs.

Solutions to Selected Exercises. Bibliography. Index.

Catalog no. K14300, March 2012, 367 pp.

ISBN: 978-1-4398-9834-5, $93.95 / £46.99 Also available as an eBook

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

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Mathematics – Undergraduate Textbooks Analysis Real Analysis and Foundations

New!

Third Edition

Advanced Calculus

Steven G. Krantz

Theory and Practice

Washington University, St. Louis, Missouri, USA

Back by popular demand, this best-selling book bridges the gap between classic theoretical texts and less rigorous ones, providing a smooth transition from logic and proofs to real analysis. Offering a more streamlined presentation, this edition moves elementary number systems and set theory and logic to appendices and removes the material on wavelet theory, measure theory, differential forms, and the method of characteristics. It also adds a chapter on normed linear spaces and includes more examples and varying levels of exercises.

Solutions manual available upon qualifying course adoption

John Srdjan Petrovic Western Michigan University, Kalamazoo, USA

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.

• Presents clear proofs that illuminate the context of the theorems

Catalog no. K20338, June 2013, 430 pp.

ISBN: 978-1-4665-8731-1, $99.95 / £63.99

• Points out the relationship among various topics in calculus

Also available as an eBook

• Includes a substantial amount of history, a large number of motivating examples, and an extensive list of references for further research of results or the history of a concept

New!

Improper Riemann Integrals Ioannis Markos Roussos Hamline University, Saint Paul, Minnesota, USA

This text gives students the prerequisites and tools to understand the convergence, principal value, and evaluation of the improper/generalized Riemann integral. It also illustrates applications to science and engineering problems.

The author uses powerful tools of real and complex analysis not only to compute the examples and solve the problems but also to justify that the computation methods are legitimate. Enriched with many examples, applications, and problems, the book helps students acquire a deeper understanding of the subject, preparing them for further study.

Catalog no. K20366, December 2013, 689 pp.

ISBN: 978-1-4665-8807-3, $99.95 / £63.99 Also available as an eBook

• Contains almost 100 worked-out exercises and over 1,000 homework problems (with selected solutions at the back of the book) to develop students’ problem-solving skills Solutions manual and figure slides available upon qualifying course adoption

Selected Contents: Sequences and Their Limits Real Numbers Continuity The Derivative The Indefinite Integral The Definite Integral Infinite Series Sequences and Series of Functions Fourier Series Functions of Several Variables Derivatives Implicit Functions and Optimization.

Integrals Depending on a Parameter Integration in Rn Fundamental Theorems Solutions and Answers to Selected Problems Bibliography Index Catalog no. K16111, November 2013, 572 pp.

ISBN: 978-1-4665-6563-0, $99.95 / £63.99 Also available as an eBook

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Mathematics – Undergraduate Textbooks Ordinary Differential Equations / Partial Differential Equations Ordinary and Partial Differential Equations Victor Henner, Tatyana Belozerova, and Mikhail Khenner “Henner, Belozerova, and Khenner cover most of the fundamental topics found in introductory ODEs and PDEs courses, nicely balancing scope without sacrificing content. … all material needed to solve the PDEs discussed in Part II can be referenced within the text. … this single book could be used successfully for a series of differential equations courses …”

—Joe Latulippe, MAA Reviews, June 2013 Figure slides and solutions manual available with qualifying course adoption

Catalog no. K15023, January 2013, 644 pp.

ISBN: 978-1-4665-1500-0, $89.95 / £54.95 Also available as an eBook

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

Selected Contents: The Multi-Index Notation.

The Gamma Function.

Convolutions. Fourier Transforms. Tempered Distributions. The Heat Kernel. The Free Propagator.

The Newtonian Potential. The Bessel Potential.

Global Hypoellipticity in the Schwartz Space. The Poisson Kernel. The Bessel-Poisson Kernel. Wave Kernels. The Heat Kernel of the Hermite Operator.

The Green Function of the Hermite Operator. Global Regularity of the Hermite Operator. The Heisenberg Group. The Sub-Laplacian and Twisted Laplacians.

Convolutions on the Heisenberg Group. Wigner Transforms and Weyl Transforms. Spectral Analysis of Twisted Laplacians. Heat Kernels Related to the Heisenberg Group. Green Functions Related to the Heisenberg Group. Bibliography. Index.

Figure slides available upon qualifying course adoption

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

“This is an excellent textbook … the book can be used by a person who has no interest in MATLAB® at all … should be at the top of the list of any professor looking for an undergraduate text in PDEs. … very highly recommended. I don’t know when or if I will ever teach an undergraduate PDE course, but if I ever do, this book will certainly be on my short list of possible texts.”

—Mark Hunacek, MAA Reviews, September 2013 Solutions manual and figure slides available upon qualifying course adoption

Catalog no. K14306, June 2013, 683 pp.

ISBN: 978-1-4398-9846-8, $89.95 / £44.99 Also available as an eBook

Catalog no. K19020, June 2013, 184 pp.

ISBN: 978-1-4665-8401-3, $79.95 / £49.99 Also available as an eBook

New!

Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica Kuzman Adzievski and Abul Hasan Siddiqi With a special emphasis on engineering and science applications, this textbook provides a mathematical introduction to PDEs at the undergraduate level. It takes a new approach to PDEs by presenting computation as an integral part of the study of differential equations. The authors use Mathematica® along with graphics to improve understanding and interpretation of concepts. They also present exercises in each chapter and solutions to selected examples.

Catalog no. K14786, October 2013, 648 pp.

ISBN: 978-1-4665-1056-2, $89.95 / £57.99 Also available as an eBook

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

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Mathematics – Undergraduate Textbooks Mathematical Modeling New!

Mathematical Modeling Models, Analysis and Applications Sandip Banerjee Indian Institute of Technology, Roorkee

This how-to guide presents tools for mathematical modeling and analysis. It offers a wide-ranging overview of mathematical ideas and techniques that provide a number of effective approaches to problem solving.

Topics covered include spatial and stochastic modeling. The text provides real-life examples of discrete and continuous mathematical modeling scenarios.

• Addresses all aspects of mathematical modeling with mathematical tools used in subsequent analysis • Incorporates MATLAB® and Mathematica® throughout • Covers spatial, delayed, and stochastic models • Presents real-life examples of discrete and continuous scenarios • Includes examples and exercises that can be used as problems in a project

Selected Contents: About Mathematical Modeling: What Is Mathematical Modeling? History of Mathematical Modeling. Latest Development in Mathematical Modeling. Various Functional Forms in Mathematical Modeling. Merits and Demerits in Mathematical Modeling. Mathematically Modeling Discrete Process: Difference Equations. Introduction to Discrete Models. One-Dimensional Density Independent Models. One-Dimensional Density Dependent Models. Stability Analysis. Nonlinear Two-Dimensional Models: Stability and Bifurcation.

Continuous Models Using Ordinary Differential Equations. Spatial Models Using Partial Differential Equations. Modeling with Delay Differential Equations. Modeling with Stochastic Differential Equations: Stochastic Process and Stochastic Differential Equations: A Preview. Effect of Additive Noise on a Logistic Equation. Stochastic Stability: Asymptotically Mean Square Stable. Mean Square Stability of a Stochastic Model with Time Delays. Numerical Simulation of Stochastic Differential Equations. Stochastic Metapopulation Models.

Mathematical Modelling with Case Studies A Differential Equations Approach using Maple™ and MATLAB®, Second Edition Belinda Barnes Australian National University, Canberra

Glenn Robert Fulford University of Technology, Brisbane, Australia

“The book is written in a very lucid manner, with numerous case studies and examples thoroughly discussed. The material is very well organized, generously illustrated, and delightfully presented. … nicely designed exercises can be used for independent study. The book contains enough material to organize a new well-structured one-semester course or to complement the existing one with additional examples and problems and is highly recommended for either purpose.”

—Zentralblatt MATH, 1168

“The book can be useful for students of mathematical modeling. They will find many skills for modeling and solving real problems. Useful sheets for Maple and MATLAB are included for numerical solution. … the best treasury of real case problems seen in a single book.”

—EMS Newsletter, September 2009

Carefully detailing the process of constructing a model, this textbook uses flow diagrams and word equations to aid in the model building process and to develop the mathematical equations. It also includes many case studies of relevant applications and provides Maple™ and MATLAB® codes in the text and online so results can be reproduced exactly.

Solutions manual available upon qualifying course adoption

Selected Contents: Introduction to Mathematical Modeling.

Compartmental Models. Models of Single Populations. Numerical Solution of Differential Equations. Interacting Population Models. PhasePlane Analysis. Linearization Analysis. Some Extended Population Models. Formulating Basic Heat Models.

Solving Time-Dependent Heat Problems. Solving Heat Conduction Problems. Introduction to Partial Differential Equations. Appendices. References.

Index.

Catalog no. K12528, January 2014, c. 276 pp.

ISBN: 978-1-4398-5451-8, $89.95 / £57.99

Catalog no. C8348, December 2008, 368 pp.

ISBN: 978-1-4200-8348-4, $91.95 / £35.99

Also available as an eBook

Also available as an eBook

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Mathematics – Undergraduate Textbooks Numerical Analysis & Numerical Methods Coming soon!

Introduction to Numerical Methods and Optimization Sergiy Butenko Texas A&M University, College Station, USA

Panos M. Pardalos University of Florida, Gainesville, USA

Based on the authors’ experience teaching introductory numerical methods and optimization courses, this book covers numerical methods for industrial and systems engineering and operations research. It combines the materials from introductory numerical methods and introductory optimization courses into a single text. This approach enriches a “standard” numerical methods syllabus with optional chapters on numerical optimization and provides a valuable numerical methods background for students taking an introductory optimization course.

• Emphasizes the underlying fundamental ideas behind numerical methods • Includes important topics typically overlooked in both numerical methods and introductory optimization texts • Takes a rigorous yet approachable exposition of the material • Contains original real-life examples to motivate the methods • Provides a supplementary intro to MATLAB® and code available online

Selected Contents: Basics: Introduction Fundamentals Numbers and Errors Analysis of Algorithms and Computational Complexity Numerical Methods for Standard Problems: Solution of Linear Systems Solution of Equations Polynomial Interpolation Numerical Integration Solution of Ordinary Differential Equations Eigenvalues and Eigenvectors Introduction to Optimization: Linear Programming Unconstrained Optimization Constrained Optimization Discrete Optimization Catalog no. K16806, March 2014, c. 416 pp.

ISBN: 978-1-4665-7777-0, $79.95 / £49.99

An Introduction to Numerical Methods A MATLAB® Approach, Third Edition Abdelwahab Kharab Abu Dhabi University, United Arab Emirates

Ronald B. Guenther Oregon State University, Corvallis, USA

This popular text continues to present a wide range of useful and important algorithms for scientific and engineering applications. Along with MATLAB® GUIs throughout, this third edition incorporates a new chapter on the numerical solution of integral equations and a new section on nonlinear PDEs. The authors use MATLAB to illustrate each numerical method, providing full details of the computer results and supplying the MATLAB functions on a CD-ROM. Solutions manual available upon qualifying course adoption

Catalog no. K13161, November 2011, 576 pp.

ISBN: 978-1-4398-6899-7, $93.95 / £46.99 Also available as an eBook

New!

Introduction to Numerical Analysis and Scientific Computing Nabil Nassif and Dolly Khuwayri Fayyad American University of Beirut, Lebanon

Selected Contents: Computer Number Systems and Floating Point Arithmetic. Finding Roots of Real Single-Valued Functions. Solving Systems of Linear Equations by Gaussian Elimination. Polynomial Interpolation and Splines Fitting. Numerical Differentiation and Integration. Advanced Numerical Integration.

Numerical Solutions of Ordinary Differential Equations (ODEs). Bibliography. Index.

Solutions manual and figure slides available upon qualifying course adoption

Catalog no. K20409, August 2013, 329 pp.

ISBN: 978-1-4665-8948-3, $89.95 / £57.99 Also available as an eBook

Also available as an eBook

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

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Mathematics – Undergraduate Textbooks Combinatorics / Introduction to Graph Theory Combinatorics of Permutations Second Edition Miklós Bóna University of Florida, Gainesville, USA

“… all chapters have new exercises and problems, some of which reflect recent results.

This is an excellent book on an important subject.”

—Fernando Q. Gouvêa, MAA Reviews, December 2012 (This book is in the MAA’s basic library list.)

“Until now it was necessary to consult a myriad of sources … in order to grasp the whole picture. Now, however, Miklós Bóna has provided us with a comprehensive, engaging, and eminently readable introduction to all aspects of the combinatorics of permutations.”

—From the Foreword by Richard Stanley, MIT

A 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. With much of the book significantly revised and expanded, this second edition continues to clearly show the usefulness of the subject. Along with more exercises and problems, this edition includes new material on alternating permutations, multivariate applications, pattern avoidance, and asymptotically normal distributions. A new chapter focuses on three sorting algorithms from molecular biology.

Applied Combinatorics Second Edition Fred S. Roberts Rutgers University, Piscataway, New Jersey, USA

Barry Tesman Dickinson College, Carlisle, Pennsylvania, USA

“The book has been substantially rewritten with more than 200 pages of new materials and many changes in the exercises. … I strongly endorse this book. It is suitable for motivated math, computer science, or engineering sophomores and even beginning graduate students. In fact, bright high school students would love this book and if they are exposed early (through reading this book and being guided by their teachers), many of them might end up doing combinatorics for their careers! I really love this book. It is a gem.”

—IACR Book Reviews, 2011

Catalog no. K10016, June 2009, 848 pp.

ISBN: 978-1-4200-9982-9, $115.95 / £72.99 Also available as an eBook

Solutions manual available with qualifying course adoption

Selected Contents: In One Line and Close Permutations as Linear Orders In One Line and Anywhere Permutations as Linear Orders Inversions In Many Circles Permutations as Products of Cycles In Any Way but This Pattern Avoidance The Basics In This Way but Nicely Pattern Avoidance Follow-Up Mean and Insensitive Random Permutations Permutations versus Everything Else Algebraic Combinatorics of Permutations Get Them All Algorithms and Permutations How Did We Get Here?

Permutations as Genome Rearrangements Solutions to Odd-Numbered Exercises ...

Catalog no. K12299, June 2012, 478 pp.

ISBN: 978-1-4398-5051-0, $93.95 / £59.99

Graphs & Digraphs Fifth Edition Gary Chartrand, Linda Lesniak, and Ping Zhang “… clear exposition, and numerous challenging examples make it an ideal textbook for the advanced undergraduate or beginning graduate course. The authors have updated their notation to reflect the current practice in this stillgrowing area of study. By the authors’ estimation, the 5th Edition is approximately 50% longer than the 4th Edition. …”

—John T. Saccoman, MAA Reviews, June 2012 (This book is in the MAA’s basic library list.)

Solutions manual available upon qualifying course adoption

Catalog no. K11263, October 2010, 598 pp.

ISBN: 978-1-4398-2627-0, $93.95 / £51.99 Also available as an eBook

Also available as an eBook

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Mathematics – Undergraduate Textbooks Introduction to Mathematical Finance / Cryptography Coming soon!

Coming soon!

Quantitative Finance

Introduction to Modern Cryptography

A Simulation-Based Introduction Using Excel Matt Davison “… all chapters are accessible to readers with a limited mathematical background. … The book provides sufficient motivation and examples to enable readers to understand the core principles of financial mathematics. … it can be used in a variety of courses in quantitative finance, from introductory to advanced, depending on the selection of chapters. Everybody can learn from this book; if not from the theory, it can be from finding other ways to present some important topics to a non-specialized audience.”

—Bruno Rémillard, HEC Montréal Solutions manual available upon qualifying course adoption

Catalog no. K13284, May 2014, c. 352 pp.

ISBN: 978-1-4398-7168-3, $79.95 / £49.99 Also available as an eBook

Second Edition Jonathan Katz and Yehuda Lindell

Selected Contents: Perfectly Secret Encryption.

Private-Key Encryption and Pseudorandomness. Message Authentication Codes and Collision-Resistant Hash Functions. Practical Constructions of Pseudorandom Permutations (Block Ciphers). ...

Solutions manual and figure slides available upon qualifying course adoption

Catalog no. K16475, July 2014, c. 640 pp.

ISBN: 978-1-4665-7026-9, $79.95 / £40.99 Also available as an eBook

Introduction to Cryptography with OpenSource Software Alasdair McAndrew

Option Valuation A First Course in Financial Mathematics Hugo D. Junghenn The George Washington University, Washington, D.C., USA

Selected Contents: Interest and Present Value. Probability Spaces.

Random Variables. Options and Arbitrage. DiscreteTime Portfolio Processes. Expectation of a Random Variable. The Binomial Model. Conditional Expectation and Discrete-Time Martingales.

The Binomial Model Revisited. Stochastic Calculus.

The Black-Scholes-Merton Model. Continuous-Time Martingales. The BSM Model Revisited. Other Options. Appendices. Bibliography. Index.

Solutions manual available upon qualifying course adoption

Catalog no. K14090, November 2011, 266 pp.

ISBN: 978-1-4398-8911-4, $62.95 / £40.99 Also available as an eBook

“It would make a great first course in cryptography but it is also easy enough to read to make it suitable for solitary study. … an excellent book. … If you want to master cryptography, this is a great place to start.”

—Mike James, IProgrammer, August 2011

Catalog no. K11232, May 2011, 461 pp.

ISBN: 978-1-4398-2570-9, $83.95 / £51.99

Cryptology Classical and Modern with Maplets Richard E. Klima and Neil P. Sigmon “This is a book that not only meets but exceeds its goal of being a suitable text for a course in cryptology for nonmajors. It is highly recommended for anybody teaching such a course, and it certainly belongs in any good university library.”

—Mark Hunacek, MAA Reviews, September 2012 Solutions manual available upon qualifying course adoption

Catalog no. K13332, June 2012, 548 pp.

ISBN: 978-1-4398-7241-3, $83.95 / £51.99 Also available as an eBook

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

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Mathematics – Undergraduate Textbooks Topology / Introduction to Abstract Algebra / Liberal Arts Mathematics Coming soon!

An Illustrated Introduction to Topology and Homotopy Sasho Kalajdzievski University of Manitoba, Winnipeg, Canada

Selected Contents: TOPOLOGY: Sets, Numbers, Cardinals, and Ordinals. Metric Spaces: Definition, Examples, and Basics. Topological Spaces: Definition and Examples. Subspaces, Quotient Spaces, Manifolds, and CW-Complexes. Products of Spaces. Connected Spaces and Path Connected Spaces. Compactness and Related Matters. Separation Properties. Urysohn, Tietze, and Stone- ech. HOMOTOPY: Isotopy and Homotopy.

The Fundamental Group of a Circle and Applications.

Combinatorial Group Theory. Seifert-van Kampen Theorem and Applications. On Classifying Manifolds and Related Topics. Covering Spaces, Part 1. Covering Spaces, Part 2. Applications. Applications in Group Theory. Bibliography.

Forthcoming solutions manual available upon qualifying course adoption

Catalog no. K12146, March 2014, c. 496 pp.

ISBN: 978-1-4398-4815-9, $89.95 / £57.99 Also available as an eBook

New!

Elements of Topology Tej Bahadur Singh University of Delhi, India

“I can’t think of any significant topic that I would like to see covered in an introductory topology course that is not discussed here. … it also contains very nice discussions of other topics that I think really enhance such an introductory course. … The pedagogical value of the book is also enhanced by the presence of quite a number of exercises of varying levels of difficulty and also a substantial number of detailed examples in the text itself. … should be carefully considered for textbook adoption by anybody teaching a course in point-set topology.”

—Mark Hunacek, MAA Reviews, November 2013

Catalog no. K13301, May 2013, 552 pp.

ISBN: 978-1-4398-7195-9, $99.95 / £63.99 Also available as an eBook

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New!

Abstract Algebra An Inquiry Based Approach Jonathan K. Hodge, Steven Schlicker, and Ted Sundstrom Emphasizing active learning, this text can be used in both rings-first and groups-first abstract algebra courses.

Solutions manual available upon qualifying course adoption via the authors’ website

Catalog no. K16308, December 2013, 595 pp.

ISBN: 978-1-4665-6706-1, $99.95 / £49.99 Also available as an eBook

Coming soon!

Puzzles, Paradoxes, Problems An Introduction to Mathematical Thinking Douglas R. Shier and Marilyn A. Reba Taking an alternative approach to related math texts for liberal arts students, this classroom-tested book emphasizes mathematical representations, strategies, and solution methods that address both engaging puzzles and important societal problems.

Catalog no. K22544, June 2014, c. 750 pp.

ISBN: 978-1-4822-2753-6, $99.99 / £63.99

Coming soon!

Understanding Mathematical Proof John Taylor and Rowan Garnier

Selected Contents: Introduction. Propositional Logic. Predicate Logic. Sets and Functions. Axioms and Formal Proofs ...

Solutions manual and figure slides available upon qualifying course adoption

Catalog no. K15018, March 2014, c. 414 pp.

Soft Cover, ISBN: 978-1-4665-1490-4 $59.95 / £29.99 Also available as an eBook

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Mathematics – Elective & Graduate Textbooks Mathematics and Music Composition, Perception, and Performance James S. Walker and Gary W. Don University of Wisconsin, Eau Claire, USA

This accessible text teaches the basics of reading music and explains how various patterns in music can be described with mathematics.

The authors extensively use the powerful time-frequency method of spectrograms to analyze the sounds created in musical performance. The text also provides mathematical explanations for musical scales, harmony, and rhythm and includes a concise introduction to digital audio synthesis. Video demos, music software, and more are available on the book’s CRC Press web page.

Solutions manual available upon qualifying course adoption

Catalog no. K13012, April 2013, 342 pp.

Soft Cover, ISBN: 978-1-4398-6709-9 $59.95 / £38.99

Mathematics for the Environment Martin Walter University of Colorado, Boulder, USA

“The book is heavily referenced … there are many detailed exercises designed to highlight how mathematics can be used to explain natural phenomena and human behavior and its consequences. … this book could serve as a text for courses in applied mathematics and a resource for study material in many other subject areas …”

—MAA Reviews, July 2011 Instructor materials on CD-ROM available upon qualifying course adoption

Catalog no. K11565, January 2011, 679 pp.

ISBN: 978-1-4398-3472-5, $98.95 / £62.99 Also available as an eBook

Also available as an eBook

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

Revised and updated, this second edition provides an accessible introduction to both chaotic dynamics and fractal geometry for students with a calculus background. This edition contains new and expanded material on fractals that illustrates how to obtain computer renderings of them and covers Julia and Mandelbrot sets. It also includes a substantial number of new exercises at the end of each section and MATLAB® programs in the appendix, with selected solutions at the back of the book.

Catalog no. C5173, April 2012, 387 pp.

ISBN: 978-1-58488-517-7, $83.95 / £51.99

Fundamentals and Selected Topics Clifford Bergman Iowa State University, Ames, USA

“… as far as I am concerned, the book under review, by Clifford Bergman, is most welcome … it is clearly written and pleasant to read … the author provides motivation as well as examples and exercises galore. At first glance it looks to me like the exercises are well-structured and should do the job of bringing the student or reader along at a decent pace from ignorance to both an appreciation for the subject and some facility with it. It’s definitely an area worth pursuing for a graduate student with the right disposition.”

—Michael Berg, MAA Reviews, December 2011

Catalog no. K12346, September 2011, 320 pp.

ISBN: 978-1-4398-5129-6, $104.95 / £66.99 Also available as an eBook

Also available as an eBook

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

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Mathematics – Elective & Graduate Textbooks Agents, Games, and Evolution Strategies at Work and Play Steven Orla Kimbrough The Wharton School, University of Pennsylvania, Philadelphia, USA

This book explores a number of basic games using agentbased models where agents have fixed strategies. The author uses agent-based models to present a wide range of applications in which strategic interaction is present and for which design issues have genuine practical import. The text covers Prisoner’s Dilemma, Stag Hunt, Battle of the Sexes, and many other games of interest in the social sciences. All computational methods are implemented in NetLogo and the required mathematical background is included in an appendix.

New!

Basic Algebraic Topology Anant R. Shastri Indian Institute of Technology Bombay, Mumbai, Maharastra

Selected Contents: Introduction. Cell Complexes and Simplicial Complexes. Covering Spaces and Fundamental Group. Homology Groups. Topology of Manifolds.

Universal Coefficient Theorem for Homology.

Cohomology. Homology of Manifolds. Cohomology of Sheaves. Homotopy Theory. Homology of Fiber Spaces. Characteristic Classes. Spectral Sequences.

Hints and Solutions. Bibliography. Index.

Figure slides available upon qualifying course adoption

Catalog no. K11564, December 2011, 512 pp.

ISBN: 978-1-4398-3470-1, $87.95 / £55.99

Catalog no. K15965, October 2013, 551 pp.

ISBN: 978-1-4665-6243-1, $89.95 / £57.99

Also available as an eBook

Also available as an eBook

Bijective Combinatorics

Computational Number Theory

Nicholas Loehr

Abhijit Das

Virginia Polytechnic Institute and State University, Blacksburg, USA

Indian Institute of Technology, Kharagpur

“I found this book engaging. The proofs are very clear, and in many cases several proofs are offered. …

This book could serve several purposes. … it could be an excellent choice for a first course in combinatorics for senior undergraduates. … it could work well for a more mature audience. … it also makes a great reference for people who use combinatorics but are not specialists. … This is a very nice book that deserves serious consideration.”

Avoiding advanced algebra and requiring no prior experience with number theory or sophisticated algebraic tools, this self-contained text 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.

—Peter Rabinovitch, MAA Reviews, September 2011

Catalog no. K12206, February 2011, 612 pp.

ISBN: 978-1-4398-4884-5, $109.95 / £69.99

Solutions manual available upon qualifying course adoption

Catalog no. K12950, March 2013, 614 pp.

ISBN: 978-1-4398-6615-3, $89.95 / £57.99 Also available as an eBook

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Probability & Statistics – Undergraduate Textbooks Probability / Probability & Statistics for Engineers / Stochastic Processes / Monte Carlo Methods Probability and Stochastic Modeling Vladimir I. Rotar San Diego State University, California, USA

“This book covers practically all essential topics from modern probability and stochastic processes … is there something making this book different or better than many others available in the market? The answer is yes! The author presents the material systematically and rigorously … [with] emphasis on the modeling aspects. The large number of well-chosen and carefully described practical cases is a tremendous advantage of the book. … strongly recommended as a basic source for a variety of courses.”

—G. Schröder, Zentralblatt MATH 1268 Solutions manual and figure slides available upon qualifying course adoption

Catalog no. K13311, August 2012, 508 pp.

ISBN: 978-1-4398-7206-2, $83.95 / £51.99 Also available as an eBook

Probability, Statistics, and Reliability for Engineers and Scientists Third Edition Bilal M. Ayyub and Richard H. McCuen University of Maryland, College Park, USA

The third edition of this best-selling text places increased emphasis on simulation, particularly as a modeling tool, applying it progressively with projects that continue in each chapter. This edition also features expanded discussions of ANOVA and a thorough treatment of Monte Carlo simulation.

Solutions manual and PowerPoint slides available upon qualifying course adoption

Catalog no. K10476, April 2011, 663 pp.

ISBN: 978-1-4398-0951-8, $125.95 / £81.00 Also available as an eBook

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

“This book provides an excellent introduction to the basic theory of stochastic processes with regard to applications in biology. … In this edition a new chapter on stochastic differential equations was added.”

—Franziska Wandtner, Zentralblatt MATH 1263

“Instructors who are already teaching a stochastic processes course and want to introduce biological examples will find this book to be a gold mine of useful material. …”

—Kathy Temple, MAA Reviews, January 2012

Catalog no. K10993, December 2010, 490 pp.

ISBN: 978-1-4398-1882-4, $98.95 / £43.99 Also available as an eBook

Monte Carlo Simulation with Applications to Finance Hui Wang Brown University, Providence, Rhode Island, USA

This text provides a self-contained introduction to Monte Carlo methods in financial engineering.

Requiring minimal background in mathematics and finance, the book includes numerous examples of option pricing, risk analysis, and sensitivity analysis as well as many handand-paper and MATLAB® coding exercises at the end of every chapter.

Selected Contents: Review of Probability. Brownian Motion. Arbitrage Free Pricing. Monte Carlo Simulation. Generating Random Variables. Variance Reduction Techniques.

Importance Sampling. Stochastic Calculus.

Simulation of Diffusions. Sensitivity Analysis.

Appendices. Bibliography. Index.

Catalog no. K12713, May 2012, 292 pp.

ISBN: 978-1-4398-5824-0, $83.95 / £51.99 Also available as an eBook

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

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Probability & Statistics – Undergraduate / - Graduate Textbooks Statistics for Social & Behavioral Sciences New!

Nonparametric Statistics for Social and Behavioral Sciences M. Kraska-Miller Auburn University, Alabama, USA

Incorporating a hands-on pedagogical approach, this text presents the concepts, principles, and methods used in performing many nonparametric procedures. It also demonstrates practical applications of the most common nonparametric procedures using IBM’s SPSS software. The text is the only current nonparametric book written specifically for students in the behavioral and social sciences. With examples of real-life research problems, it emphasizes sound research designs, appropriate statistical analyses, and accurate interpretations of results.

• Explains common nonparametric statistical procedures for research designs in nontechnical terms • Includes examples of the procedures in real-life research problems • Requires no prerequisite courses in mathematics and statistics, presenting statistical formulas for illustration purposes only • Shows the connection between research and data analysis without burdening students with more technicalities than necessary • Illustrates data input methods using SPSS • Integrates many charts, graphs, and tables to help students visualize the data and results • Contains exercises and references in every chapter Solutions manual and figure slides available upon qualifying course adoption

Selected Contents: Introduction to Research in Social and Behavioral Sciences Introduction to Nonparametric Statistics Analysis of Data to Determine Association and Agreement Analyses for Two Independent Samples Analysis of Multiple Independent Samples Analysis of Two Dependent Samples Tests for Multiple Related Samples Analysis of Single Samples Index Catalog no. K14678, December 2013, 260 pp.

ISBN: 978-1-4665-0760-9, $89.95 / £57.99

Applied Stochastic Processes Ming Liao Auburn University, Alabama, USA

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

• Offers a succinct, accessible account of applied stochastic processes for a first-year graduate course • Provides systematic coverage of queuing applications, unlike similar texts on stochastic processes • Includes an introduction to stochastic differential equations • Contains exercises at the end of most sections and a brief bibliography at the back of the book Solutions manual and figure slides available upon qualifying course adoption

Selected Contents: Probability and Stochastic Processes: Probability.

Random variables and their distributions.

Mathematical expectation. Joint distribution and independence. Convergence of random variables.

Laplace transform and generating functions.

Examples of discrete distributions. Examples of continuous distributions. Stochastic processes. Stopping times. Conditional expectation. Poisson Processes.

Renewal Processes. Discrete-Time Markov Chains.

Continuous-Time Markov Chains. Brownian Motion and Beyond: Brownian motion. Standard Brownian motion and its maximum. Conditional expectation and martingales. Brownian motion with drift. Stochastic integrals. Itô’s formula and stochastic differential equations. A single stock market model.

Bibliography. Index.

Catalog no. K20401, July 2013, 208 pp.

ISBN: 978-1-4665-8933-9, $79.95 / £49.99 Also available as an eBook

Also available as an eBook

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Operations Research, Financial Mathematics, & Business Management Graduate Textbooks Coming soon!

Financial Mathematics A Comprehensive Treatment Giuseppe Campolieti and Roman N. Makarov Wilfrid Laurier University, Waterloo, Ontario, Canada

Selected Contents: Introduction to Pricing and Management of Financial Securities: Mathematics of Compounding.

Primer on Pricing Risky Assets. Portfolio Management. Primer on Derivative Securities.

Discrete-Time Modeling: Single-Period ArrowDebreu Model. Introduction to Discrete-Time Stochastic Calculus. Multi-Period Binomial Market Model. Other Tree Models. ... Continuous-Time Modeling: One-Dimensional Brownian Processes.

Introduction to Continuous-Time Stochastic Calculus.

Black-Scholes-Merton Option Pricing Formulation for One Risky Asset. Option Pricing Formulation for Multiple Assets. Risk-Neutral Pricing Theory. Path Dependent Options. American Options. Introduction to Other Models of Asset Price Dynamics. InterestRate Modeling and Derivative Pricing. Credit Risk Modeling. ... Appendices.

New!

Quantitative Finance An Object-Oriented Approach in C++ Erik Schlogl University of Technology, Sydney, Australia

“… this book contains a clear and careful discussion of many of the key derivatives pricing models together with object-oriented C++ code. Substantial discussion of the design choices made is also included. I believe that this book is destined to be part of every financial engineer’s toolkit.”

—Mark Joshi, University of Melbourne

Selected Contents: A Brief Review of the C++ Programming Language.

Basic Building Blocks. Lattice Models for Option Pricing. The Black/Scholes World. Finite Difference Methods. Implied Volatility and Volatility Smiles.

Monte Carlo Simulation. The Heath/Jarrow/Morton Model. Appendices. References. Index.

Catalog no. C4797, December 2013, 354 pp.

ISBN: 978-1-58488-479-8, $79.95 / £49.99 Also available as an eBook

Solutions manual available upon qualifying course adoption

Catalog no. K14142, February 2014, c. 814 pp.

ISBN: 978-1-4398-9242-8, $89.95 / £57.99 Also available as an eBook

New!

Introduction to Linear Optimization and Extensions with MATLAB® Roy H. Kwon University of Toronto, Ontario, Canada

Selected Contents: FUNDAMENTALS: Geometry of Linear Optimization.

Simplex Method. Duality and Sensitivity Analysis.

EXTENSIONS: Decomposition in Linear Optimization.

Quadratic Optimization. Interior Point Methods.

ROBUST STRATEGIES FOR LINEAR OPTIMIZATION: Stochastic Programming. Robust Linear Optimization.

Solutions manual and figure slides available upon qualifying course adoption

Computational Methods in Finance Ali Hirsa Caspian Capital Management, LLC, New York, USA

“The depth and breadth of this stand-alone textbook on computational methods in finance is astonishing. It brings together a full-spectrum of methods with many practical examples. … This book provides plenty of exercises and realistic case studies. Those who work through them will gain a deep understanding of the modern computational methods in finance. This uniquely comprehensive and well-written book will undoubtedly prove invaluable to many researchers and practitioners. In addition, it seems to be an excellent teaching book.”

—Lasse Koskinen, International Statistical Review (2013), 81

Catalog no. K12905, September 2013, 362 pp.

ISBN: 978-1-4398-6263-6, $99.95 / £63.99

Catalog no. K11454, September 2012, 444 pp.

ISBN: 978-1-4398-2957-8, $93.95 / £62.99

Also available as an eBook

Also available as an eBook

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

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Operations Research, Financial Mathematics, & Business Management Graduate Textbooks An Introduction to Exotic Option Pricing Peter Buchen University of Sydney, Australia

“The book presents an entertaining and captivating course in option pricing … Thanks to the machinery developed by the author and his work group, pricing formulas for even the most complex exotic options are obtained from elementary pricing formulas using elegant arguments and simple algebraic manipulations, i.e. without lengthy integrations. … a very valuable treatise on exotic option pricing in a Black-Scholes economy. In addition, every chapter concludes with a set of highly relevant and inspiring exercises.”

—Tamás Mátrai, Zentralblatt MATH 1242 Solutions manual available upon qualifying course adoption

Catalog no. C9100, February 2012, 296 pp.

ISBN: 978-1-4200-9100-7, $83.95 / £51.99

Business Process Modeling, Simulation and Design Second Edition Manuel Laguna and Johan Marklund This text provides students with a thorough understanding of numerous analytical tools that can be used to model, analyze, design, manage, and improve business processes.

Solutions manual, PowerPoint slides, prebuilt Extend models, and additional simulation exercises/projects available upon qualifying course adoption

Catalog no. K13989, April 2013, 523 pp.

ISBN: 978-1-4398-8525-3, $99.95 / £63.99 Also available as an eBook

Stochastic Finance A Numeraire Approach

Also available as an eBook

Risk Management and Simulation

Jan Vecer

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

“With carefully selected questions and exercises, the book is highly recommended for professionals and students who desire deeper quantitative knowledge of risk management.”

“… this book can be regarded as a wonderful application of stochastic analysis, as it includes not only detailed theoretical proofs but also practical illustrative examples. …”

—Jian Ping Wan, Mathematical Reviews, 2012f

Catalog no. K10632, January 2011, 342 pp.

ISBN: 978-1-4398-1250-1, $75.95 / £48.99 Also available as an eBook

—Wei Chen, SAS Institute Inc.

Selected Contents: Risk and Regulation: Defining Risk. Framework for Risk Management. Regulations and Risk Management. Modeling and Simulation of Risk: Principles of Simulation and Generating Random Variates. Modeling Risk Evolving over Time. Building and Solving Models of Risk. Risk Management: Managing Equity Market Risk. Managing Interest Rates and Other Market Risks. Credit Risk Management. Strategic, Business and Operational Risk Management. Risk Management Using Insurance. Advanced Simulation: Advanced Simulation Topics. Bibliography. Index.

Value-Added Decision Making for Managers Kenneth Chelst and Yavuz Burak Canbolat “[The authors] introduce all concepts and methods using realistic decision-making examples to make them relevant to practitioners. …”

—Matthias Ehrgott, Interfaces, July–August 2013

Catalog no. K11622, June 2013, 523 pp.

ISBN: 978-1-4398-3594-4, $99.95 / £63.99

Catalog no. C7572, October 2011, 578 pp.

ISBN: 978-1-4200-7572-4, $146.95 / £93.00

Also available as an eBook

Also available as an eBook

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Mathematics for Computer Science – Undergraduate Textbooks Linear Algebra and Probability for Computer Science Applications Ernest Davis Courant Institute of Mathematical Sciences, New York University, USA

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

• Focuses on mathematical techniques that are most relevant to computer scientists • Assumes as little mathematical background as possible • Covers applications from computer graphics, web search, machine learning, cryptography, and a host of other computer science areas • Includes MATLAB functions, MATLAB programming assignments, and problems in each chapter • Offers MATLAB code at www.cs.nyu.edu/ faculty/davise/MathTechniques/index.html

New!

Practical Linear Algebra A Geometry Toolbox, Third Edition Gerald Farin Arizona State University, Tempe, USA

Dianne Hansford FarinHansford 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.

• Presents 120 numerical examples • Provides more than 280 illustrations • Includes a summary of main points and exercises at the end of each chapter, with selected solutions in an appendix • Contains an extensive glossary and robust index • Offers Mathematica® code on the authors’ website Solutions manual, lecture slides, and test bank available upon qualifying course adoption

Selected Contents:

MATLAB. LINEAR ALGEBRA: Vectors.

Matrices.

Vector Spaces.

Algorithms.

Geometry.

Change of Basis, DFT, and SVD. PROBABILITY: Probability.

Numerical Random Variables.

Markov Models.

Confidence Intervals.

Monte Carlo Methods.

Information and Entropy.

Maximum Likelihood Estimation.

References.

Notation.

Index.

Descartes’ Discovery Here and There: Points and Vectors in 2D Lining Up: 2D Lines Changing Shapes: Linear Maps in 2D 2 x 2 Linear Systems Moving Things Around: Affine Maps in 2D Eigen Things. 3D Geometry Linear Maps in 3D Affine Maps in 3D Interactions in 3D Gauss for Linear Systems Alternative System Solvers General Linear Spaces Eigen Things Revisited The Singular Value Decomposition Breaking It Up: Triangles Putting Lines Together: Polylines and Polygons Conics. Curves Appendices Bibliography Index

Catalog no. K14397, May 2012, 431 pp.

ISBN: 978-1-4665-0155-3, $62.95 / £41.99

Catalog no. K16852, August 2013, 514 pp.

ISBN: 978-1-4665-7956-9, $89.95 / £57.99

Also available as an eBook

Also available as an eBook

Selected Contents:

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

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Mathematics for Engineering – Graduate Textbooks Coming soon!

Introduction to MATLAB with Applications for Chemical and Mechanical Engineers Daniel G. Coronell

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

John L. Junkins

Rose-Hulman Institute of Technology, Indiana, USA

Texas A&M University, College Station, USA

This text covers applications from chemical engineering and biotechnology, such as thermodynamics, heat transfer, fluid mechanics, and mass transfer. The book features a section on input, output, and storage of data as well as a section on data analysis and parameter estimation that contains statistical analysis, curve fitting optimization, and error analysis. Many applied case studies are included from the engineering disciplines. The book also offers instruction on the use of the MATLAB® optimization toolbox, with a CDROM of MATLAB programs included.

With more than 100 pages of new material, this reorganized and expanded edition incorporates new theoretical results, a new chapter on advanced sequential state estimation, and additional examples and exercises. MATLAB® codes are available on the book’s website.

Catalog no. C5122, March 2014, 448 pp.

Soft Cover, ISBN: 978-1-58488-512-2 $69.95 / £44.99 Also available as an eBook

Selected Contents: Least Squares Approximation. Probability Concepts in Least Squares. Sequential State Estimation.

Advanced Topics in Sequential State Estimation.

Batch State Estimation. Parameter Estimation: Applications. Estimation of Dynamic Systems: Applications. Optimal Control and Estimation Theory. Appendices. Index.

Catalog no. K11836, October 2011, 749 pp.

ISBN: 978-1-4398-3985-0, $146.95 / £93.00 Also available as an eBook

Physical Oceanography Radar Systems Analysis and Design Using MATLAB® Third Edition Bassem R. Mahafza deciBel Research Inc., Huntsville, Alabama, USA

Incorporating feedback from professors and practicing engineers, the third edition of this best-selling text reflects the state of the art in the field and restructures the material to be more convenient for course use.

Reorganized, expanded, and updated, it includes several new topics and many new end-of-chapter problems. This edition also takes advantage of the new features in the latest version of MATLAB®, with updated MATLAB code available for download on the book’s CRC Press web page.

Solutions manual available upon qualifying course adoption

A Mathematical Introduction with MATLAB® Reza Malek-Madani U.S. Naval Academy, Annapolis, Maryland, USA

This text demonstrates how to use the basic tenets of multivariate calculus to derive the governing equations of fluid dynamics in a rotating frame. The book makes the most of MATLAB®’s matrix algebraic functions, differential equation solvers, and visualization capabilities and includes chapter projects that incorporate MATLAB programming.

Selected Contents: An Introduction to MATLAB. Matrix Algebra.

Differential and Integral Calculus. ODEs. Numerical Methods for ODEs. Equations of Fluid Dynamics.

Equations of Geophysical Fluid Dynamics. Shallow Water Equations. Wind-Driven Ocean Circulation: The Stommel and Munk Models. Some Special Topics. Appendix.

Catalog no. K13984, May 2013, 772 pp.

ISBN: 978-1-4398-8495-9, $129.95 / £82.00

Catalog no. C830X, April 2012, 456 pp.

ISBN: 978-1-58488-830-7, $83.95 / £51.99

Also available as an eBook

Also available as an eBook

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Mathematics for Engineering – Graduate Textbooks Numerical Methods for Engineers and Scientists Using MATLAB®

Finite Element Analysis of Composite Materials using Abaqus™

Ramin S. Esfandiari

Ever J. Barbero

California State University, Long Beach, USA

West Virginia University, Morgantown, USA

“The author has done an excellent job in explaining the concepts in a simple and straightforward manner. The text is very complete and includes lots of worked out examples. I highly recommend this book to engineers and undergraduate and graduate students. A very good mix of mathematical theory and MATLAB® applications.”

“The book is essential for any academic in the area of solid mechanics. I use this book with my students, as the subject and the materials are very clear and finite element codes in the book help their work progress and make my guidance more productive. It has both theory and applications using the finite element method. This book is also essential for composite engineers as a quick reference of topics that can be of use in their field.”

—Alireza Tabarraei, University of North Carolina at Charlotte

—Gasser Abdelal, Queen’s University Belfast

Selected Contents: Introduction to MATLAB®. Solution of Equations of a Single Variable. Solution of Systems of Equations.

Curve Fitting (Approximation) and Interpolation.

Numerical Differentiation and Integration.

Numerical Solution of Initial-Value Problems. …

Catalog no. K19104, June 2013, 550 pp.

Soft Cover, ISBN: 978-1-4665-8569-0 $119.95 / £76.95

Solutions manual and figure slides available upon qualifying course adoption

Catalog no. K15072, April 2013, 444 pp.

ISBN: 978-1-4665-1661-8, $119.95 / £76.99 Also available as an eBook

New!

Advanced Engineering Mathematics

Introduction to Numerical and Analytical Methods with MATLAB® for Engineers and Scientists

Lawrence Turyn

William Bober

Wright State University, Dayton, Ohio, USA

Florida Atlantic University, Boca Raton, USA

“… great expositions of many topics that are usually omitted in similar books but are important in applications. For instance, least square solutions are presented at great detail. Another strength of Turyn’s book is a collection of exercises.”

This textbook teaches students how to write computer programs using MATLAB® and explains how to use many of MATLAB’s built-in functions to solve engineering-type problems. It includes many exercises and examples from mechanical, civil, aeronautical, and electrical engineering.

Also available as an eBook

New!

—Vladimir A. Dobrushkin, University of Rhode Island

“It covers almost every topic that should appear in an engineering textbook. It contains many examples to help students to understand. … an ideal option for both first-time and advanced learners, thanks to its clarity in presentation and comprehensiveness in contents.”

—Xiaojun Yuan, The Chinese University of Hong Kong

Selected Contents: Computer Programming with MATLAB for Engineers.

MATLAB Fundamentals. Taylor Series, Self-Written Functions and MATLAB’s interp1 Function. Matrices.

Roots of Algebraic and Transcendental Equations.

Numerical Integration. Numerical Integration of ODEs. Boundary Value Problems of ODEs. Curve Fitting. Simulink®. Optimization. Iteration Method.

PDEs. Laplace Transforms.

Catalog no. K11552, September 2013, 1455 pp.

ISBN: 978-1-4398-3447-3, $179.95 / £114.00

Catalog no. K16725, November 2013, 556 pp.

ISBN: 978-1-4665-7602-5, $119.95 / £76.99

Also available as an eBook

Also available as an eBook

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

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Mathematical and Systems Biology New!

Systems Biology Mathematical Modeling and Model Analysis

Dynamics of Biological Systems Michael Small Hong Kong Polytechnic University

Andreas Kremling Technical University Munich, Germany

“Systems Biology: Mathematical Modeling and Model Analysis is a rich resource of mathematical methods and approaches that can be utilized to analyze and understand biological systems. … Systems Biology devotes a good portion of the material to state-of-the-art model diagnostics and engineering techniques, such as linear systems analysis and control theory, which so far are rarely found in systems biology texts and are therefore a welcome addition to the repertoire of textbook literature. For instance, important topics like identifiability, observability, and robust control are seldom encountered in introductory texts on systems biology but discussed here in some detail. Laudably, all topics are illustrated with step-by-step examples, and many of them are reinforced with exercises.”

—Eberhard Voit, Georgia Institute of Technology

“… a meticulous and far-reaching treatment of this critically important subject. … Each chapter is thoughtfully crafted to draw in novices to the field while still engaging to experts. Additionally, a number of well-designed exercises complement each chapter. I found the sections on model analysis and control theory particularly useful and relevant.”

—Markus Covert, Stanford University Solutions manual and figure slides available upon qualifying course adoption

Selected Contents: Fundamentals: Introduction. Biological Basics.

Fundamentals of Mathematical Modeling. Model Calibration and Experimental Design. Modeling of Cellular Processes: Enzymatic Conversion.

Polymerization Processes. Signal Transduction and Genetically Regulated Systems. Analysis of Modules and Motifs: General Methods of Model Analysis.

Aspects of Control Theory. Motifs in Cellular Networks. Analysis of Cellular Networks: Metabolic Engineering. Topological Characteristics. Appendix.

Index.

Catalog no. K16367, November 2013, 379 pp.

ISBN: 978-1-4665-6789-4, $79.95 / £49.99 Also available as an eBook

With exercises and projects in each chapter, this classroom-tested text shows how to apply a variety of mathematical and computational techniques to model and analyze the temporal and spatial phenomena of biological systems. MATLAB® implementations of algorithms and case studies are available on the author’s website.

Solutions manual available upon qualifying course adoption

Selected Contents: Biological Systems and Dynamics. Population Dynamics of a Single Species. Observability of Dynamic Variables. Biomedical Signal Processing.

Computational Neurophysiology. Mathematical Neurodynamics. Population Dynamics. Action, Reaction and Diffusion. Autonomous Agents.

Complex Networks.

Catalog no. K12463, August 2011, 284 pp.

ISBN: 978-1-4398-5336-8, $83.95 / £51.99 Also available as an eBook

Biological Computation Ehud Lamm Tel-Aviv University, Israel

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

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

—Computing Reviews, August 2011 PowerPoint slides available for instructors online

Catalog no. C7959, May 2011, 343 pp.

ISBN: 978-1-4200-8795-6, $83.95 / £51.99

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