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CONTENTS

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MATHEMATICS UNDERGRADUATE TEXTBOOKS Discrete Mathematics..........................................................3 Mathematics for Elementary Education..............................3 Transition to Advanced Mathematics ................................4 Analysis................................................................................5 Differential Equations ..........................................................7 Mathematical Modeling......................................................9 Numerical Analysis & Numerical Methods ......................10 Linear Algebra ..................................................................11 Abstract Algebra................................................................11 Number Theory ................................................................11 Optimization ....................................................................12 Topology ..........................................................................12 Logic..................................................................................12 Combinatorics ..................................................................12 Graph Theory....................................................................12 Introduction to Mathematical Finance ............................13 Cryptology / Cryptography ..............................................13 Game Theory ....................................................................14 Liberal Arts Mathematics ..................................................14 General Interest ................................................................14 ELECTIVE & GRADUATE TEXTBOOKS ..........................15 PROBABILITY & STATISTICS UNDERGRADUATE TEXTBOOKS Probability ........................................................................16 Probability & Statistics for Engineers ................................16 Stochastic Processes ..........................................................16 Monte Carlo Methods ......................................................16 Statistics for Social & Behavioral Sciences ........................17 GRADUATE TEXTBOOKS ................................................18 Operations Research, Financial Mathematics, & Business Management GRADUATE TEXTBOOKS ................................................18 Mathematics for Computer Science UNDERGRADUATE TEXTBOOKS....................................20 Mathematics for Engineering GRADUATE TEXTBOOKS ................................................20 Mathematical & Systems Biology ........................................22

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MATHEMATICS – UNDERGRADUATE TEXTBOOKS Discrete Mathematics / Mathematics for Elementary Education Number, Shape, & Symmetry

Bestseller!

Discrete Mathematics with Ducks

An Introduction to Number Theory, Geometry, and Group Theory

sarah-marie belcastro Research Associate, Smith College, Northampton, Massachusetts, USA

Diane L. Herrmann and Paul J. Sally, Jr.

“This book can certainly be used to teach the standard course in discrete mathematics designed for computer science majors.” —MAA Reviews, August 2012

“… 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.” —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

University of Chicago, Illinois, USA

“The proofs in this book guide the student from simple ideas … to more advanced ventures … 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 … this is a great book to use as either a primary or supplementary book for a number theory class.” —MAA Reviews, August 2013

Catalog no. K15328, October 2012, 444 pp. ISBN: 978-1-4665-5464-1, $73.95 / £46.99 Also available as an eBook

Also available as an eBook

Project Origami

Discrete Structures and Their Interactions Jason I. Brown Dalhousie University, Halifax, Nova Scotia, Canada

Series: Discrete Mathematics and Its Applications

“The book is a collection of examples, each of which shows either how discrete structures interact with each other or how discrete structures interact with other parts of mathematics. … I am certain I will use some examples I found in this book when I teach combinatorics in the upcoming semester.” —MAA Reviews, December 2013 Solutions manual available upon qualifying course adoption

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

Activities for Exploring Mathematics, Second Edition Thomas Hull

Selected Contents: 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. … 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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MATHEMATICS – UNDERGRADUATE TEXTBOOKS Transition to Advanced Mathematics Introduction to Mathematical Proofs A Transition Charles Roberts Indiana State University, Terre Haute, USA

Series: Textbooks in Mathematics

With numerous examples and exercises, this accessible book teaches students how to reason logically, read proofs critically, and write valid mathematical proofs. It facilitates a smooth transition from courses designed to develop computational skills and problem-solving abilities to courses that emphasize theorem proving. The text proves many theorems from different areas in mathematics and provides a thorough presentation of logic by including both formal and informal proofs. Solutions manual available upon qualifying course adoption.

Catalog no. C6955, June 2009, 433 pp. ISBN: 978-1-4200-6955-6, $104.95 / £67.99 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. … But another problem to be addressed is to re-present mathematics as a way of knowing—rather than a static body of formalised knowledge. In this book, Steven Krantz tackles this anomaly by including many open-ended problems in the rich collections of exercises. … recommended as a possible course text for those who are planning to teach a foundation course.” —MAA Reviews, July 2012 Solutions manual available upon qualifying course adoption

Catalog no. K14300, March 2012, 367 pp. ISBN: 978-1-4398-9834-5, $93.95 / £46.99 Also available as an eBook

New!

Mathematics A Minimal Introduction

Understanding Mathematical Proof

Alexandru Buium

John Taylor

University of New Mexico, Albuquerque, USA

University of Brighton, UK

Rowan Garnier

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 students often encounter in related books and places special emphasis on separating the language of mathematics from metalanguage and eliminating semantics from set theory.

Surrey, UK

Catalog no. K22035, November 2013, 226 pp. Soft Cover ISBN: 978-1-4822-1600-4, $49.95 / £32.95 Also available as an eBook

Undergraduate mathematics students often experience difficulties in understanding and constructing proofs. This text describes the nature of mathematical proof, explores the various techniques that mathematicians adopt to prove their results, and offers advice and strategies for constructing proofs. It will improve students’ ability to understand proofs and construct correct proofs of their own. Solutions manual available upon qualifying course adoption

Selected Contents: Logic and Reasoning. Sets and Functions. The Structure of Mathematical Proofs. Finding Proofs. Direct Proof: Variations. Existence and Uniqueness. Mathematical Induction. Hints and Solutions to Selected Exercises. Catalog no. K15018, March 2014, 414 pp., Soft Cover ISBN: 978-1-4665-1490-4, $59.95 / £29.99 Also available as an eBook

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MATHEMATICS – UNDERGRADUATE TEXTBOOKS Analysis Coming soon!

Real Analysis and Foundations Third Edition

Foundations of Analysis

Steven G. Krantz

Washington University, St. Louis, Missouri, USA

Series: Textbooks in Mathematics

Most related textbooks transition students from the mathematics of calculations to the concept of proofs through intuition. This introduction to pure mathematics minimizes the amount of intuition built into the subject.

Praise for the Second Edition: “The book is recommended as a source for middlelevel mathematical courses.” —Zentralblatt MATH

“The book contains many well-chosen examples and each of the 15 chapters is followed by almost 500 exercises. … recommended for university libraries, teachers, and students.” —EMS Newsletter

Back by popular demand, this bestselling 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. • Presents a clear, thorough treatment of the theorems and concepts of real analysis • Includes a new chapter on normed linear spaces • Provides more examples throughout the text and additional exercises at the end of each section

Suitable for a one-semester undergraduate course, the text also addresses the central question of determining the certainty provided by pure mathematics. Written by a well-known author and mathematician, the book includes “check your understanding” sections and many examples. • Presents material for a one-semester “Transition to Advanced Mathematics” course • Provides a self-contained introduction to the core ideas of mathematical analysis • Includes examples suitable for education majors Solutions manual, instructor manual, and figure slides available upon qualifying course adoption

• Designates challenging exercises with an asterisk Solutions manual available upon qualifying course adoption

Selected Contents: Number Systems. Sequences. Series of Numbers. Basic Topology. Limits and Continuity of Functions. Differentiation of Functions. The Integral. Sequences and Series of Functions. Elementary Transcendental Functions. Differential Equations. Introduction to Harmonic Analysis. Functions of Several Variables. Advanced Topics. Normed Linear Spaces. Appendices. Bibliography. Index. Catalog no. K20338, June 2013, 430 pp. ISBN: 978-1-4665-8731-1, $99.95 / £63.99 Also available as an eBook

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

MATHEMATICS – UNDERGRADUATE TEXTBOOKS Analysis Advanced Calculus

A Basic Course in Real Analysis

Theory and Practice

Ajit Kumar

John Srdjan Petrovic Western Michigan University, Kalamazoo, USA

Series: Textbooks in Mathematics

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

Institute of Chemical Technology, Mumbai, India

S. Kumaresan University of Hyderabad, India

Although there are many books available on this subject, students often find it difficult to learn the essence of analysis on their own or after going through a course on real analysis. Written in a conversational tone, this text explains the hows and whys of real analysis and provides guidance that makes students think at every stage. It offers insight into how a typical mathematician works—observing patterns, conducting experiments, looking at or creating examples, understanding underlying principles, coming up with guesses or conjectures, and rigorously proving them. Catalog no. K22053, January 2014, 322 pp. ISBN: 978-1-4822-1637-0, $89.95 / £57.99 Also available as an eBook

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

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MATHEMATICS – UNDERGRADUATE TEXTBOOKS Differential Equations Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica

Coming soon!

A Course in Ordinary Differential Equations Second Edition Randall J. Swift California State Polytechnic University, Pomona, USA

Kuzman Adzievski South Carolina State University, Orangeburg, USA

Stephen A. Wirkus Arizona State University, Glendale, USA

Abul Hasan Siddiqi

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. It also offers updated, more detailed ancillary materials, including a solutions manual upon qualifying course adoption. Catalog no. K14711, December 2014, c. 808 pp. ISBN: 978-1-4665-0908-5, $99.95 / £49.99

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

Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

“This is an excellent textbook … should be at the top of the list of any professor looking for an undergraduate text in PDEs. … extremely high quality of exposition. … The author also employs the nice pedagogical feature of page-long ‘preludes’ to each chapter … 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.” —MAA Reviews, September 2013 Solutions manual 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

Sharda University, Greater Noida, India

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

Computational Partial Differential Equations Using MATLAB® Jichun Li and Yi-Tung Chen University of Nevada, Las Vegas, USA

Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

“… a successful textbook to study advanced numerical methods for partial differential equations.” —Zentralblatt Math, 1175 Solutions manual available upon qualifying course adoption

Selected Contents: Brief Overview of PDEs. Finite Difference Methods for Parabolic Equations. Finite Difference Methods for Hyperbolic Equations. Finite Difference Methods for Elliptic Equations. High-Order Compact Difference Methods. Finite Element Methods: Basic Theory. ... Catalog no. C9048, October 2008, 384 pp. ISBN: 978-1-4200-8904-2, $109.95 / £69.99 Also available as an eBook

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MATHEMATICS – UNDERGRADUATE TEXTBOOKS Differential Equations Partial Differential Equations

New!

Differential Equations with MATLAB®

Topics in Fourier Analysis

Exploration, Applications, and Theory

M.W. Wong York University, Toronto, Ontario, Canada

Mark McKibben and Micah D. Webster

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.

Selected Contents:

Catalog no. K19020, June 2013, 184 pp. ISBN: 978-1-4665-8401-3, $79.95 / £49.99

Catalog no. K15453, July 2014, 472 pp. ISBN: 978-1-4665-5707-9, $99.95 / £63.99

Also available as an eBook

Ordinary and Partial Differential Equations

ODEs: Welcome! A Basic Analysis Toolbox. A First Wave of Mathematical Models. Finite-Dimensional Theory—Ground Zero: The Homogenous Case. Finite-Dimensional Theory—Next Step: The NonHomogenous Case. A Second Wave of Mathematical Models—Now, with Nonlinear Interactions. FiniteDimensional Theory—Last Step: The Semi-Linear Case. ABSTRACT ODEs: Getting the Lay of a New Land. Three New Mathematical Models. Formulating a Theory for (A-HCP). The Next Wave of Mathematical Models—With Forcing. Remaining Mathematical Models. Formulating a Theory for (ANonCP). A Final Wave of Models—Accounting for Semilinear Effects. Appendix. Bibliography. Index.

Coming soon!

Applied Differential Equations

Victor Henner, Tatyana Belozerova, and Mikhail Khenner

An Introduction Vladimir A. Dobrushkin

“Ordinary and Partial Differential Equations provides college-level readers with a comprehensive textbook covering both ordinary differential equations and partial differential equations, offering a complete course on both under one cover, which makes this a unique contribution to the field. Examples and exercises accompany software supporting these and a text that covers all the basics any undergraduate or beginning graduate course will cover in differential equations. ... Very highly recommended for any college collection supporting these disciplines.”

Brown University, Providence, Rhode Island, USA

Series: Textbooks in Mathematics

Solutions manual available upon qualifying course adoption

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 stepby-step solutions to problems, and offers exercises ranging from simple to challenging. It also covers Mathematica®, Maple™, MATLAB®, and noncommercial software packages. A solutions manual is available upon qualifying course adoption.

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

Catalog no. K12330, December 2014, c. 712 pp. ISBN: 978-1-4398-5104-3, $99.95 / £49.99

Also available as an eBook

—Midwest Book Review

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MATHEMATICS – UNDERGRADUATE TEXTBOOKS Mathematical Modeling Introduction to Mathematical Modeling and Chaotic Dynamics Ranjit Kumar Upadhyay Indian School of Mines, Dhanbad

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

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

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. The author focuses on techniques that are of particular interest to engineers, scientists, and others who use models of discrete and continuous systems. This approach gives students a foundation for understanding and using the mathematics that is the basis of computers and therefore a foundation for success in engineering and science streams.

• Discusses the characteristics, classifications, limitations, and approaches of mathematical modeling

• Addresses all aspects of mathematical modeling with mathematical tools used in subsequent analysis

• Explains how to model a single population and the population dynamics of two interacting species

• Incorporates MATLAB®, Mathematica®, and MatCont throughout the text • Covers spatial, delayed, and stochastic models

• Covers chaotic dynamics in model systems from natural science

• Presents real-life examples of discrete and continuous scenarios

• Describes the modeling of oscillators and circuits, such as Chua’s circuit

• Includes examples and exercises that can be used as problems in a project

• Uses MATLAB® for problem solving as well as Mathematica® to compute Lyapunov exponents

• Offers ancillary materials on the book’s CRC Press web page

• Includes many worked examples and exercises, with selected solutions at the back of the book

Selected Contents:

Solutions manual available upon qualifying course adoption

Selected Contents: Introduction to Mathematical Modeling. Modeling of Systems from Natural Science. Introduction to Chaotic Dynamics. Chaotic Dynamics in Model Systems from Natural Science. Modeling of Some Engineering Systems. Solutions to Odd-Numbered Problems. Index.

About Mathematical Modeling. Mathematically Modeling Discrete Process. Continuous Models Using Ordinary Differential Equations. Spatial Models Using Partial Differential Equations. Modeling with Delay Differential Equations. Modeling with Stochastic Differential Equations. Catalog no. K12528, February 2014, 276 pp. ISBN: 978-1-4398-5451-8, $89.95 / £57.99 Also available as an eBook

Catalog no. K14326, July 2013, 363 pp. ISBN: 978-1-4398-9886-4, $89.95 / £57.99 Also available as an eBook

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

MATHEMATICS – UNDERGRADUATE TEXTBOOKS Numerical Analysis & Numerical Methods Introduction to Numerical Analysis and Scientific Computing

New!

Nabil Nassif and Dolly Khuwayri Fayyad

Sergiy Butenko

American University of Beirut, Lebanon

Designed for a one-semester course on the subject, this classroom-tested text presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. Drawing on their years of teaching students in mathematics, engineering, and the sciences, the authors cover floating-point number representations, nonlinear equations, linear algebra concepts, the Lagrange interpolation theorem, numerical differentiation and integration, and ODEs. They also focus on the implementation of the algorithms using MATLAB®. • Helps students understand floating-point number representations, particularly those pertaining to IEEE simple and double-precision standards used in computer environments such as MATLAB • Explains how computer arithmetic is a source for generating round-off errors • Presents iterative methods for obtaining accurate approximations to roots of nonlinear equations • Covers numerical linear algebra concepts, the Lagrange interpolation theorem, and formulae for numerical differentiation and integration • Illustrates the solution of ODEs using Runge–Kutta methods • Expresses each numerical method using either pseudo-code or a detailed MATLAB program • Includes a large number of exercises and several computer projects Solutions manual available upon qualifying course adoption

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. Bibliography. Index. Catalog no. K20409, August 2013, 329 pp. ISBN: 978-1-4665-8948-3, $89.95 / £57.99 Also available as an eBook

Numerical Methods and Optimization An Introduction Texas A&M University, College Station, USA

Panos M. Pardalos University of Florida, Gainesville, USA

Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing

“If you are looking for an enjoyable and useful introduction to the basic topics of numerical methods and optimization, this is the right text to read. The authors are not only experienced lecturers but also active researchers in this area. They present the basic topics of numerical methods and optimization in an easy-tofollow, yet rigorous manner. In particular, they gently introduce some important topics, such as computational complexity, which are usually unavailable in textbooks on optimization for engineers. The authors occasionally turn to mathematical humor to illustrate some material in the text. This informal contact with the reader exemplifies the engaging style of exposition characteristic of this excellent book.” —Oleg Burdakov, Linkoeping University

• Emphasizes the underlying fundamental ideas behind numerical methods • Covers important topics often overlooked in both numerical methods and introductory optimization texts, such as the basics of the analysis of algorithms and computational complexity • Contains real-life examples and end-of-chapter exercises • Offers a guide to MATLAB® and code available online Solutions manual available upon qualifying course adoption

Selected Contents: Basics: Preliminaries. Numbers and Errors. Numerical Methods for Standard Problems: Elements of Numerical Linear Algebra. Solving Equations. Polynomial Interpolation. Numerical Integration. Numerical Solution of Differential Equations. Introduction to Optimization: Basic Concepts. Complexity Issues. Introduction to Linear Programming. The Simplex Method for Linear Programming. Duality and Sensitivity Analysis in Linear Programming. Unconstrained Optimization. Constrained Optimization. Notes and References. Bibliography. Index. Catalog no. K16806, March 2014, 412 pp. ISBN: 978-1-4665-7777-0, $79.95 / £49.99 Also available as an eBook

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MATHEMATICS – UNDERGRADUATE TEXTBOOKS Linear Algebra / Abstract Algebra / Number Theory Advanced Linear Algebra

Abstract Algebra

Bruce Cooperstein

An Inquiry Based Approach

University of California, Santa Cruz, USA

Jonathan K. Hodge, Steven Schlicker, and Ted Sundstrom

Series: Textbooks in Mathematics

“The book is well written, and the examples are appropriate. … Each section contains relevant problems at the end. The ‘What You Need to Know’ feature at the beginning of each section outlining the knowledge required to grasp the material is useful. Recommended.” —CHOICE, January 2011 Solutions manual available upon qualifying course adoption

Catalog no. K11457, June 2010, 364 pp. ISBN: 978-1-4398-2966-0, $91.95 / £58.99

Grand Valley State University, Allendale, Michigan, USA

Series: 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. A solutions manual is 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!

Inquiry-Based Approach to Linear Algebra using Mathematica Crista Arangala Elon University, North Carolina, USA

Series: Textbooks in Mathematics

A supplement to linear algebra courses, this text leads students through an engaging, inquiry-based learning experience using Mathematica®. This approach enables students to propose key concepts before attempting to prove them. The book explores the core topics of linear algebra, including invertibility, vector spaces, and eigenvalues, as well as many applications of linear algebra. Each section includes interesting problems, such as applications of Markov chains to allied fields, which could lead to undergraduate research projects. Catalog no. K23356, November 2014, c. 152 pp. ISBN: 978-1-4822-4149-5, $49.95 / £31.99

An Introduction to Number Theory with Cryptography James S. Kraft Gilman School, Baltimore, Maryland, USA

Lawrence C. Washington University of Maryland, College Park, USA

“College-level undergrads will appreciate the number theory topics, arranged in a format suitable for any standard course in the topic, and will also appreciate the inclusion of many exercises and projects to support all the theory provided. In providing a foundation text with step-by-step analysis, examples, and exercises, this is a top teaching tool recommended for any cryptography student or instructor.” —California Bookwatch, January 2014 Solutions manual available upon qualifying course adoption

Catalog no. K21751, September 2013, 572 pp. ISBN: 978-1-4822-1441-3, $89.95 / £59.95 Also available as an eBook

Also available as an eBook

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MATHEMATICS – UNDERGRADUATE TEXTBOOKS Optimization / Topology / Logic / Combinatorics / Graph Theory A First Course in Optimization

Introduction to Mathematical Logic

Charles L. Byrne

Fifth Edition

University of Massachusetts, Lowell, USA

Elliott Mendelson

New!

This text is designed for a one-semester course in optimization taken by advanced undergraduate and beginning graduate students in the mathematical sciences and engineering. It teaches students the basics of continuous optimization and helps them better understand the mathematics from previous courses. The book focuses on general problems and the underlying theory. It covers the fundamental problems of constrained and unconstrained optimization, linear and convex programming, basic iterative solution algorithms, and more general iterative optimization methods. Solutions manual available upon qualifying course adoption.

Catalog no. K22492, August 2014, 315 pp. ISBN: 978-1-4822-2656-0, $89.95 / £57.99 Also available as an eBook

Coming soon!

An Illustrated Introduction to Topology and Homotopy

Catalog no. C8768 August 2009, 469 pp. ISBN: 978-1-58488-876-5 $98.95 / £43.99 Also available as an eBook

Applied Combinatorics Second Edition Fred Roberts and Barry Tesman Catalog no. K10016 June 2009, 848 pp. ISBN: 978-1-4200-9982-9 $115.95 / £72.99 Also available as an eBook

Sasho Kalajdzievski University of Manitoba, Winnipeg, Canada

This self-contained book explores the beauty of topology and homotopy theory in a direct and engaging manner while illustrating the power of the theory through many, often surprising, applications. It takes a visual and rigorous approach that incorporates both extensive illustrations and full proofs. Requiring only some familiarity with group theory, the text incorporates nearly 600 figures as well as various examples that show how the theory can be applied. It also includes roughly 750 exercises, many of which are relatively new. Forthcoming solutions manual available upon qualifying course adoption.

Graphs & Digraphs Fifth Edition Gary Chartrand, Linda Lesniak, and Ping Zhang Catalog no. K11263 October 2010, 598 pp. ISBN: 978-1-4398-2627-0 $93.95 / £51.99 Also available as an eBook

Catalog no. K12146, September 2014, c. 482 pp. ISBN: 978-1-4398-4815-9, $89.95 / £57.99 Also available as an eBook

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MATHEMATICS – UNDERGRADUATE TEXTBOOKS Introduction to Mathematical Finance / Cryptology/Cryptography New!

Actuarial Models The Mathematics of Insurance, Second Edition Vladimir I. Rotar San Diego State University, California, USA

Selected Contents: Preliminary Facts from Probability and Interest. Comparison of Random Variables. Preferences of Individuals. An Individual Risk Model for a Short Period. A Collective Risk Model for a Short Period. Random Processes and Their Applications I. Random Processes and Their Applications II. Global Characteristics of the Surplus Process. Survival Distributions. Life Insurance Models. Annuity Models. Premiums and Reserves. Pensions Plans. Risk Exchange: Reinsurance and Coinsurance. Appendix. References. Answers to Exercises. Index. Solutions manual available upon qualifying course adoption

Catalog no. K22520, August 2014, 654 pp. Pack - Book and eBook ISBN: 978-1-4822-2706-2, $99.95 / £63.99 Also available as an eBook

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

Neil P. Sigmon Radford University, Virginia, USA

“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.” —MAA Reviews, September 2012

Selected Contents: Substitution Ciphers. Transposition Ciphers. The Enigma Machine and Navajo Code. Shift and Affine Ciphers. Alberti and Vigenère Ciphers. Hill Ciphers. RSA Ciphers. ElGamal Ciphers. The Advanced Encryption Standard. Message Authentication. 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

Introduction to Modern Cryptography

New!

Quantitative Finance A Simulation-Based Introduction Using Excel Matt Davison University of Western Ontario, London, Canada

“This is one of the most thoughtful introductory books on financial mathematics I have seen. Every reader who uses it as a starting point of the subject will quickly gain access to some of the most important areas of financial mathematics. Experienced experts will appreciate the intuitive and mathematically correct treatment of many fundamental concepts.” —Rüdiger Kiesel, University Duisburg-Essen

Second Edition Jonathan Katz University of Maryland, College Park, USA

Yehuda Lindell Bar-Ilan University, Ramat Gan, Israel

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). Theoretical Constructions of Pseudorandom Objects. Number Theory and Cryptographic Hardness Assumptions. Factoring and Computing Discrete Logarithms. Private-Key Management and the PublicKey Revolution. Public-Key Encryption. Additional Public-Key Encryption Schemes. Digital Signature Schemes. Public-Key Cryptosystems in the Random Oracle Model. Appendices. Index.

Solutions manual available upon qualifying course adoption

Catalog no. K13284, May 2014, 532 pp. ISBN: 978-1-4398-7168-3, $79.95 / £49.99

Catalog no. K16475, November 2014, 600 pp. ISBN: 978-1-4665-7026-9, $79.95 / £40.99

Also available as an eBook

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

MATHEMATICS – UNDERGRADUATE TEXTBOOKS Game Theory / Liberal Arts Mathematics / General Interest Mathematics in Games, Sports, and Gambling

Math and Art An Introduction to Visual Mathematics Sasho Kalajdzievski

The Games People Play

University of Manitoba, Winnipeg, Canada

Ronald J. Gould Emory University, Atlanta, Georgia, USA

A 2010 CHOICE Outstanding Academic Title “… a wonderful reference for studying probability or statistics … Though this book might serve as the seed for the development of a new mathematics course at some institutions, this reviewer sees its greater value as a reference for mathematicians who are unfamiliar with the probabilities associated with gambling or applying statistics in sports.” —CHOICE, May 2010

Catalog no. K10099, July 2009, 374 pp. ISBN: 978-1-4398-0163-5, $64.95 / £41.99 Also available as an eBook

“The illustrations are beautiful! … The mathematics is accessible to those with little mathematical background, and yet the presentation is still engaging for those with more background.” —MAA Reviews, March 2009

“… an excellent account of art inspired by mathematics and art generated by mathematics, and it should interest readers in both fields. Highly Recommended.” —CHOICE, February 2009

Selected Contents: Euclidean Geometry. Plane Transformations. Similarities, Fractals, and Cellular Automata. Hyperbolic Geometry. Perspective and Some ThreeDimensional Objects. Topology. Catalog no. C9136, June 2008, 272 pp., Soft Cover ISBN: 978-1-58488-913-7, $65.95 / £37.99 Also available as an eBook

Coming soon!

Puzzles, Paradoxes, Problems

A Mathematical Look at Politics

An Introduction to Mathematical Thinking

E. Arthur Robinson, Jr. and Daniel H. Ullman George Washington University, Washington, D.C., USA

Douglas R. Shier and Marilyn A. Reba

“The exercises that close each chapter are interesting and often quite challenging … Instructors teaching a broader liberal arts mathematics course could use it to add depth to these topics or craft supplemental readings and projects. Students of mathematics or politics will find independent study opportunities here, and mathematicians from other areas will find this an enjoyable introduction. This is a very thoughtfully written text that should be made available to anyone with an interest in learning or teaching this topic.”

Clemson University, South Carolina, USA

Taking an alternative approach to related math texts for liberal arts students, this classroom-tested book emphasizes mathematical representations, strategies, and solution methods that address both engaging puzzles and important societal problems. Students learn effective ways to decipher, manipulate, and decompose problems; reframe paradoxes; control complexity; and team with others to find creative, if only approximate, solutions. The book includes many unique exercises as well as chapter summaries that reinforce problem-solving skills. Catalog no. K22544, December 2014, c. 584 pp. ISBN: 978-1-4822-2753-6, $99.99 / £63.99

—MAA Reviews, July 2011

Catalog no. K11044, December 2010, 477 pp. ISBN: 978-1-4398-1983-8, $57.95 / £36.99 Also available as an eBook

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MATHEMATICS – ELECTIVE & GRADUATE TEXTBOOKS Classical and Modern Numerical Analysis Theory, Methods and Practice Azmy S. Ackleh, Edward James Allen, R. Baker Kearfott, and Padmanabhan Seshaiyer

Computational Number Theory Abhijit Das 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

Solutions manual available upon qualifying course adoption

Catalog no. C9157 July 2009, 628 pp. ISBN: 978-1-4200-9157-1 $119.95 / £77.99 Also available as an eBook

Mathematics and Music Composition, Perception, and Performance James S. Walker and Gary W. Don 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

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

Catalog no. C5173 April 2012, 387 pp. ISBN: 978-1-58488-517-7 $83.95 / £51.99 Also available as an eBook

Also available as an eBook

Basic Algebraic Topology

Mathematics for the Environment

Anant R. Shastri

Martin Walter

Catalog no. K15965 October 2013, 551 pp. ISBN: 978-1-4665-6243-1 $89.95 / £57.99 Also available as an eBook

University of Colorado, Boulder, USA 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

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

PROBABILITY & STATISTICS – UNDERGRADUATE TEXTBOOKS Probability / Probability & Statistics for Engineers / Stochastic Processes / Monte Carlo Methods 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 presents probability, statistics, reliability, and risk methods with an ideal balance of theory and applications. It 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 the analysis of variance and a thorough treatment of Monte Carlo simulation. The authors not only clearly establish the limitations, advantages, and disadvantages of each method, but also show that data analysis is a continuum rather than the isolated application of different methods.

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

Series: Chapman & Hall/CRC Financial Mathematics

This text provides a self-contained introduction to Monte Carlo methods in financial engineering. It covers common variance reduction techniques, the crossentropy method, and the simulation of diffusion process models. Requiring minimal background in mathematics and finance, the book includes numerous examples of option pricing, risk analysis, and sensitivity analysis as well as many hand-and-paper and MATLAB® coding exercises at the end of every chapter. Catalog no. K12713, May 2012, 292 pp. ISBN: 978-1-4398-5824-0, $83.95 / £51.99

• Emphasizes risk and reliability for the engineering statistics market from a practical point of view

Also available as an eBook

• Includes various applications in engineering

An Introduction to Stochastic Processes with Applications to Biology

• Provides additional material on simulation, the mathematics related to uncertainty, the rand function, sample variability, dependence, the Poisson process, and more • Contains additional illustrations on histogram samples and hypothesis testing along with Venn diagrams for conditional probabilities Solutions manual and PowerPoint slides available upon qualifying course adoption

Selected Contents: Introduction. Data Description and Treatment. Fundamentals of Probability. Probability Distributions for Discrete Random Variables. Probability Distributions for Continuous Random Variables. Multiple Random Variables. Simulation. Fundamentals of Statistical Analysis. Hypothesis Testing. Analysis of Variance. Confidence Intervals and Sample Size Determination. Regression Analysis. Multiple and Nonlinear Regression Analysis. Reliability Analysis of Components. Reliability and Risk Analysis of Systems. Bayesian Methods. Appendices. Index. Catalog no. K10476, April 2011, 663 pp. ISBN: 978-1-4398-0951-8, $125.95 / £81.00 Also available as an eBook

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.” —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. … a useful addition to the library of anyone interested in stochastic processes who wants to learn more about their biological applications.” —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

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PROBABILITY & STATISTICS – UNDERGRADUATE TEXTBOOKS Probability / Probability & Statistics for Engineers / Stochastic Processes / Monte Carlo Methods New!

Introduction to Probability Joseph K. Blitzstein

Probability and Stochastic Modeling Vladimir I. Rotar

Harvard University, Cambridge, Massachusetts, USA

San Diego State University, California, USA

Jessica Hwang

“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! … Of primary importance is the 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.”

Stanford University, California, USA

Series: Chapman & Hall/CRC Texts in Statistical Science

Assuming one semester of calculus, this textbook introduces probability to undergraduate students who want to learn statistics. It clearly explains the importance of widely used distributions in statistics, such as normal, binomial, and Poisson, and explores how they are all connected. The book makes the distributions easier to remember, understand, and work with by illustrating natural applications where they arise, including applications of MCMC. R is used to perform statistical calculations. • Presents definitions, theorems, and proofs through stories that preserve mathematical precision and generality

—Zentralblatt MATH 1268 Solutions manual available upon qualifying course adoption

Catalog no. K13311, August 2012, 508 pp. ISBN: 978-1-4398-7206-2, $83.95 / £51.99

• Focuses on real-world relevance and statistical thinking • Includes interesting modern applications, such as Google PageRank, legal and medical examples, and applications of MCMC to ecology and cryptography • Explains and connects the most important distributions used in statistics • Contains nearly 600 exercises that reinforce understanding of the material instead of requiring repetitive calculations • Supplements key concepts with memorable diagrams • Explains how to run simulations, make visualizations, and perform statistical calculations using R, a free statistical software environment

Selected Contents: Probability and Counting. Conditional Probability. Random Variables and their Distributions. Expectation. Continuous Random Variables. Moments. Joint Distributions. Transformations. Conditional Expectation. Inequalities and Limit Theorems. Markov Chains. Markov Chain Monte Carlo. Poisson Processes. Math. R. Table of Distributions. Bibliography. Index Catalog no. K16714, August 2014, 596 pp. Pack - Book and Ebook ISBN: 978-1-4665-7557-8, $99.95 / £49.99

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. A solutions manual is available upon qualifying course adoption. 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

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

Operations Research, Financial Mathematics, & Business Management GRADUATE TEXTBOOKS Business Process Modeling, Simulation and Design Second Edition Manuel Laguna

Value-Added Decision Making for Managers Kenneth Chelst Wayne State University, Detroit, Michigan, USA

Yavuz Burak Canbolat

University of Colorado, Boulder, USA

Abbott Laboratories, Abbott Park, Illinois, USA

Johan Marklund

“… this book is easy to read and would make an excellent textbook for a practical course on decision making with multiple objectives and under uncertainty.”

Lund University, Sweden

Developed from the authors’ many years of teaching process design and simulation courses, this text provides students with a thorough understanding of numerous analytical tools that can be used to model, analyze, design, manage, and improve business processes. It presents the tools to design effective business processes and the management techniques to operate them efficiently. This edition includes an introduction to simulation, a new chapter on business process analytics, and three completely revised chapters that incorporate ExtendSim 8. • Considers business process design from a broad, quantitative modeling perspective • Fully integrates process simulation software

—Interfaces, July–August 2013

Developed from the authors’ longstanding course on decision and risk analysis, this text explores the important interaction between decisions and management action and clarifies the barriers to rational decision making. Numerous examples highlight real-world situations from everyday life, public policy, and industry. Software tutorials and other ancillaries are available on the book’s website. Catalog no. C7572, October 2011, 578 pp. ISBN: 978-1-4200-7572-4, $146.95 / £93.00

• Merges design tools with managerial implications

Also available as an eBook

• Uses case studies to illustrate how processes can be improved or designed using simulation software

Computational Methods in Finance

• Offers online access to ExtendSim software, enabling students to experiment with their own models Solutions manual, PowerPoint slides, prebuilt Extend models, and additional simulation exercises/projects available upon qualifying course adoption

Selected Contents: Introduction to Business Process Design. Process Management and Process-Oriented Improvement Programs. Framework for Business Process-Design Projects. Basic Tools for Process Design. Managing Process Flows. Introduction to Queuing Modeling. Introduction to Simulation. Modeling and Simulating Business Processes with ExtendSim. Input and Output Data Analysis. Optimizing Business Process Performance. Business Process Analytics. Appendix. Index. Catalog no. K13989, April 2013, 523 pp. ISBN: 978-1-4398-8525-3, $99.95 / £63.99 Also available as an eBook

Ali Hirsa Caspian Capital Management, LLC, New York, USA

Series: Chapman & Hall/CRC Financial Mathematics

“The depth and breadth of this stand-alone textbook is astonishing. It brings together a full spectrum of methods with many practical examples. … an excellent synthesis of numerical methods needed for solving practical problems in finance. 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. … an excellent teaching book.” —International Statistical Review, 2013

Catalog no. K11454, September 2012, 444 pp. ISBN: 978-1-4398-2957-8, $93.95 / £62.99 Also available as an eBook

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Operations Research, Financial Mathematics, & Business Management GRADUATE TEXTBOOKS Quantitative Finance An Object-Oriented Approach in C++ Erik Schlogl University of Technology, Sydney, Australia

Series: Chapman & Hall/CRC Financial Mathematics

“… 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. … 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. Catalog no. C4797, November 2013, 354 pp. ISBN: 978-1-58488-479-8, $79.95 / £49.99

Risk Management and Simulation Aparna Gupta Rensselaer Polytechnic Institute, Troy, New York, USA

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

Also available as an eBook

New!

Coming soon!

Financial Mathematics

Pricing in General Insurance

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

Series: Chapman & Hall/CRC Financial Mathematics

“As the owner of literally thousands of books on the mathematics of arbitrage, I’m sorely tempted to sell my collection and buy this book as a replacement. … I commend the authors for their authoritative and comprehensive treatment.” —Peter Carr, Morgan Stanley and NYU Courant Master of Science Program in Mathematics in Finance

“The authors treat the subjects rigorously but with plenty of examples … This is a book that will find its way into classrooms worldwide.” —Luis Seco, University of Toronto Solutions manual available upon qualifying course adoption

Catalog no. K14142, March 2014, 829 pp. ISBN: 978-1-4398-9242-8, $89.95 / £57.99

Pietro Parodi Willis LTD., London, UK

This textbook is a practical introduction to all aspects of general insurance pricing. Closely following the syllabus of the ST8 exam of the UK Actuarial Profession, the book was developed from the author’s actuarial science course at the Cass Business School. Many real examples and case studies illustrate the various topics while numerous exercises, some based on past ST8 exams, make the book suitable for teaching or selfstudy.

Selected Contents: Introductory Concepts. The Basic Pricing Process. Elements of Specialist Pricing. Advanced Pricing Methods. Appendices. Catalog no. K18873, October 2014, c. 576 pp. ISBN: 978-1-4665-8144-9, $99.95 / £59.99 Also available as an eBook

Also available as an eBook

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

Mathematics for Computer Science / Mathematics for Engineering UNDERGRADUATE TEXTBOOKS / GRADUATE TEXTBOOKS 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. 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. Mathematica® code, lecture slides, and other material are available on the authors’ website. Catalog no. K16852, August 2013, 514 pp. ISBN: 978-1-4665-7956-9, $89.95 / £57.99 Also available as an eBook

Physical Oceanography 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. It also explains how to use linear algebra and PDEs to solve basic initial-boundary value problems that have become the hallmark of physical oceanography. The book makes the most of MATLAB®’s matrix algebraic functions, differential equation solvers, and visualization capabilities and includes chapter projects that incorporate MATLAB programming. Catalog no. C830X, April 2012, 456 pp. ISBN: 978-1-58488-830-7, $83.95 / £51.99 Also available as an eBook

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

“It provides an essential understanding of radar design, analysis, and signal processing in one convenient source in an updated third edition of this bestselling book. … This comprehensive book contains theory, easy-to-follow design equations and formulas, and basic principles that provide the reader with a solid foundation in radar systems. … Academics teaching a course in radar systems will find this an excellent teaching resource and should consider this book for their main textbook.” —IEEE Electrical Insulation Magazine, July/August 2014

Incorporating feedback from professors and practicing engineers, the third edition of this bestselling text reflects the state of the art in the field and restructures the material to be more convenient for course use. Reorganized, expanded, and updated, it includes several new topics and many new end-of-chapter problems. This edition also takes advantage of the new features in the latest version of MATLAB®. • Provides students with an essential understanding of radar design, analysis, and signal processing in one comprehensive source • Presents easy-to-follow mathematical derivations of almost all equations and formulas • Includes numerous graphical plots and table format outputs that help students evaluate the trade-off between different radar parameters • Offers a complete set of updated MATLAB functions and routines on the book’s CRC Press web page, enabling students to use the default set of input parameters or enter their own • Contains more than 350 end-of-chapter problems Solutions manual available upon qualifying course adoption

Selected Contents: Radar Principles. Radar Signals and Signal Processing. Special Radar Considerations. Radar Detection. Radar Special Topics. Bibliography. Index. Catalog no. K13984, May 2013, 772 pp. ISBN: 978-1-4398-8495-9, $129.95 / £82.00 Also available as an eBook

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Mathematics for Engineering GRADUATE TEXTBOOKS Optimal Estimation of Dynamic Systems Second Edition John L. Crassidis State University of New YorkBuffalo, USA

John L. Junkins Texas A&M University, College Station, USA

Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

An ideal self-study guide for practicing engineers as well as senior undergraduate and beginning graduate students, this book highlights the importance of both physical and numerical modeling in solving dynamicsbased estimation problems found in engineering systems, such as spacecraft attitude determination, GPS navigation, orbit determination, and aircraft tracking. With more than 100 pages of new material, this reorganized and expanded edition incorporates new theoretical results, a new chapter on advanced sequential state estimation, and additional examples and exercises. MATLAB® codes are available on the book’s website. • Presents rigorous, detailed treatments of least squares and Kalman filtering • Discusses several advanced estimation concepts, such as multiple-model adaptive estimation and unscented, particle, Gaussian sum, and ensemble filtering • Applies estimation theory to actual dynamic systems, including flight paths, space orbits, and machine control • Includes tables for all algorithms to enable quick access for programming purposes • Integrates the required prerequisites (matrix properties, probability, statistics, and optimization methods) in the appendices • Contains 350 analytical and computer-based problems • Provides the MATLAB codes for all examples on the book’s website

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

Coming soon!

Introduction to MATLAB® with Applications for Chemical and Mechanical Engineers Daniel G. Coronell Rose-Hulman Institute of Technology, Indiana, USA

This book 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. The author includes many applied case studies from the engineering disciplines and offers instruction on the use of the MATLAB® optimization toolbox. Catalog no. C5122, March 2015, 448 pp. Soft Cover ISBN: 978-1-58488-512-2, $69.95 / £44.99 Also available as an eBook

New!

Introduction to Finite and Spectral Element Methods Using MATLAB® Second Edition C. Pozrikidis University of Massachusetts, Amherst, USA

This self-contained book enables students to quickly understand the theoretical foundation and practical implementation of the finite element method and its companion spectral element method. Students gain hands-on computational experience by using the free online FSELIB library of MATLAB® functions and codes. Along with updated software and additional solved problems, this edition includes two new chapters as well as updated proofs, derivations, schematic illustrations, and graphs. A solutions manual is available upon qualifying course adoption. Catalog no. K21623, June 2014, 830 pp. ISBN: 978-1-4822-0915-0, $139.95 / £89.00 Also available as an eBook

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

Mathematical and Systems Biology Systems Biology Mathematical Modeling and Model Analysis Andreas Kremling

The Dynamics of Discrete Populations and Series of Events

Technical University Munich, Germany

Keith Iain Hopcraft, Eric Jakeman, and Kevin D. Ridley

Series: Chapman & Hall/CRC Mathematical and Computational Biology

Series: Graduate Student Series in Physics

“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. … all topics are illustrated with step-by-step examples, and many of them are reinforced with exercises.” —Eberhard Voit, Georgia Institute of Technology

“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

• Presents methods for the analysis of motifs, modules, and large-scale networks • Explains how deterministic models and graphs can be used in the analysis and verification of networks • Shows how to model the complete synthesis of macromolecules and compare measured data • Uses the lactose uptake system to demonstrate various modeling and analysis tools • Includes exercises and a bibliography at the end of each chapter

This text shows students how analytical tools are used to develop and solve discrete stochastic models. It also explains how to simulate the models computationally and generate data to compare with measurements. Each chapter includes problem sets and guidance to further reading. • Provides an introduction to the stochastic modeling of discrete populations and associated series of events • Presents a comprehensive analysis of the classic problem of the evolution and monitoring of a population subjected to births, deaths, and immigration • Considers less familiar population models that have no continuous counterparts and shows how these may exhibit sub-Poisson traits and odd/even effects in their fluctuations • Develops models of populations subject to simultaneous multiple immigrations and shows how these can be used to produce a model with any desired equilibrium distribution • Shows how discrete series of events can arise from level crossings of continuous processes and how the statistics of these events can be characterized • Describes methods and algorithms for numerical simulation of dynamic populations

Solutions manual available upon qualifying course adoption

• Includes a bibliography for further reading as well as problems to encourage hands-on practice with the techniques, to further develop ideas from the text, and to derive results from technical literature

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.

Introduction. Statistical Preliminaries. Markovian Population Processes. The Birth–Death–Immigration Process. Population Processes Exhibiting Sub-Poisson Fluctuations and Odd–Even Effects. The Death–Multiple Immigration Process. Stable Processes and Series of Events. Coupled Processes. Doubly Stochastic Processes. Level Crossings of a Continuous Process. Simulation Techniques.

• Offers MATLAB® code on the book’s CRC Press web page

Catalog no. K16367, November 2013, 379 pp. ISBN: 978-1-4665-6789-4, $79.95 / £49.99

Catalog no. C6067, January 2014, 223 pp. ISBN: 978-1-4200-6067-6, $79.95 / £49.99 Also available as an eBook

Also available as an eBook

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