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Mathematics - Undergraduate Textbooks Liberal Arts Mathematics................................................3 Discrete Mathematics....................................................3 Plane Geometry.............................................................4 Transition to Advanced Mathematics.............................5 Analysis..........................................................................5 Differential Equations.....................................................6 Mathematical Modeling.................................................8 Numerical Analysis & Numerical Methods.....................8 Abstract Algebra ...........................................................9 Probability & Statistics - Undergraduate Textbooks Probability / Probability & Statistics for Engineers / Stochastic Processes / Monte Carlo Methods.............10 Probability & Statistics - Undergraduate / Graduate Textbooks Statistics for Social & Behavioral Sciences.....................11 Mathematics - Undergraduate Textbooks Number Theory...........................................................11 Cryptology/Cryptography............................................11 Linear Algebra .............................................................12 Logic...........................................................................12 Topology.....................................................................12 Optimization...............................................................13 Graph Theory .............................................................13 Introduction to Mathematical Finance.........................13 Game Theory...............................................................14 General Interest...........................................................14 Mathematics Elective & Graduate Textbooks....................................15 Probability & Statistics Graduate Textbooks.....................................................16 Operations Research, Financial Mathematics, & Business Management Graduate Textbooks.....................................................16 Mathematics for Computer Science Undergraduate Textbooks............................................17 Mathematics for Engineering Graduate Textbooks.....................................................17 Mathematics and Systems Biology..................................18

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Mathematics - Undergraduate Textbooks Section Liberal Arts Mathematics Puzzles, Paradoxes, and Problem Solving

Project Origami

An Introduction to Mathematical Thinking

Activities for Exploring Mathematics, Second Edition

Marilyn A. Reba and Douglas R. Shier

Thomas Hull

Clemson University, South Carolina, USA

Designed for undergraduate students in liberal arts mathematics courses, this text uses puzzles and paradoxes to introduce basic principles of mathematical thought.

Decision-making situations that progress from recreational problems to important contemporary applications develop the critical-thinking skills of non-science and non-technical majors. The book uses a core set of representations, strategies, and algorithms to analyze diverse games, puzzles, and applications. This unified treatment logically connects the topics with a recurring set of solution approaches. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482227536 Print ISBN: 978-1-4822-2753-6 eBook ISBN: 978-1-4987-2370-1 December 2014, 7 x 10, 605 pp.

Suggested Price: $99.99 / £63.99

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. http://www.crcpress.com/product/isbn/9781466567917 Print ISBN: 978-1-4665-6791-7 eBook ISBN: 978-1-4665-8004-6 December 2012, 8 x 10, 364 pp., Soft Cover Suggested Price: $54.95 / £34.99

Mathematics - Undergraduate Textbooks Discrete Mathematics

Mathematics for the Liberal Arts Jason I. Brown Dalhousie University, Halifax, Nova Scotia, Canada

This textbook teaches everyday mathematics topics to nonmath majors at the undergraduate level. Through numerous examples and more than 600 exercises, students learn how to use math seamlessly in a variety of practical areas, from conversion factors, statistics, visualization, money, and risk to games, art, music, and humor. Real-life stories in each chapter capture students’ interest and motivate them to work through the math. Ancillaries are available on the author’s website. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466593367 Print ISBN: 978-1-4665-9336-7 December 2014, 7 x 10, 440 pp., Pack - Book and Ebook Suggested Price: $89.95 / £57.99

Introduction to Enumerative and Analytic Combinatorics Second Edition Miklos Bona University of Florida, Gainesville, USA

Divided into three parts, this book fills the gap between introductory texts in discrete mathematics and advanced graduate textbooks in enumerative combinatorics. Part I deals with basic counting principles, compositions and partitions, and generating functions. Part II focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Part III covers supplemental topics, including error-correcting codes, properties of sequences, and magic squares. An instructor’s manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482249095 Print ISBN: 978-1-4822-4909-5 October 2015, 6-1/8 x 9-1/4, 550 pp.

Suggested Price: $79.95 / £49.95

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

Through a careful treatment of number theory and geometry, this text helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466554641 Print ISBN: 978-1-4665-5464-1 eBook ISBN: 978-1-4665-5466-5 October 2012, 7-1/2 x 9-1/4, 444 pp.

Suggested Price: $76.95 / £48.99

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

Suitable for an introductory discrete mathematics course, this text covers the subfields of mathematics and computer science that fall under the general umbrella term. It fits the ideas of the basic curriculum as outlined in the SIGCSE guidelines into a framework that focuses on content rather than technique. The book covers standard and practical topics required in discrete math classes. The author also incorporates classroom activities as well as instructor’s notes at the end of every chapter. A solutions manual is available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466504998 Print ISBN: 978-1-4665-0499-8 eBook ISBN: 978-1-4665-0502-5 June 2012, 7-1/2 x 9-1/4, 580 pp.

Suggested Price: $65.95 / £41.99

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Mathematics - Undergraduate Textbooks Section Discrete Mathematics / Transition to Advanced Mathematics Student Handbook for Discrete Mathematics with Ducks SRRSLEH

Elements of Advanced Mathematics Third Edition

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

Steven G. Krantz Washington University, St. Louis, Missouri, USA

This is a Student Reference, Review, Supplemental Learning, and Example Handbook (SRRSLEH) that mirrors the content of the author’s popular textbook Discrete Mathematics with Ducks (DMwD). This handbook provides a review of key material, illustrative examples, and new problems with accompanying solutions that are helpful even for those using a traditional discrete mathematics textbook.

A quick refresher for any discrete math student, the book enables students to find information easily and reminds them of the terms and results they should know during their course. Figure slides are available upon qualifying course adoption.

Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this classroom-tested, bestselling text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. It also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques. A solutions manual and figure slides are available upon qualifying course adoption.

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Print ISBN: 978-1-4987-1404-4 August 2015, 6-1/8 x 9-1/4, 208 pp., Soft Cover Suggested Price: $29.95 / £19.99

Print ISBN: 978-1-4398-9834-5 eBook ISBN: 978-1-4398-9843-7 March 2012, 6-1/8 x 9-1/4, 367 pp.

Suggested Price: $97.95 / £49.99

Discrete Structures and Their Interactions Jason I. Brown Dalhousie University, Halifax, Nova Scotia, Canada Series: Discrete Mathematics and Its Applications

With exercises and research problems, this text highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics, such as linear and multilinear algebra, analysis, probability, logic, and topology. The author explains how discrete structures have important applications in many areas inside and outside of combinatorics. He also discusses how to recognize valuable research connections through the structures. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466579415 Print ISBN: 978-1-4665-7941-5 eBook ISBN: 978-1-4665-7943-9 June 2013, 6-1/8 x 9-1/4, 224 pp.

Suggested Price: $83.95 / £52.99

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 often encountered in related books and places special emphasis on separating the language of mathematics from metalanguage and eliminating semantics from set theory. A solutions manual, an instructor’s manual, and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482216004 Print ISBN: 978-1-4822-1600-4 eBook ISBN: 978-1-4822-1603-5 November 2013, 7 x 10, 208 pp., Soft Cover Suggested Price: $49.95 / £32.95

Mathematics - Undergraduate Textbooks Plane Geometry Transformational Plane Geometry Ronald N. Umble and Zhigang Han Series: Textbooks in Mathematics

John Taylor University of Brighton, UK

Rowan Garnier Surrey, UK

Designed for a one-semester undergraduate course, this text takes a hands-on, interactive approach to teaching plane geometry. It is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. Following the standards of the National Council of Teachers of Mathematics and the Common Core State Standards, the text provides students with a concrete visual alternative to Euclid’s purely axiomatic approach to plane geometry. It uses exploratory activities to motivate geometrical concepts and includes exercises at the end of each section. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482234718 Print ISBN: 978-1-4822-3471-8 eBook ISBN: 978-1-4822-3472-5 December 2014, 6-1/8 x 9-1/4, 234 pp.

Suggested Price: $69.95 / £44.99

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Understanding Mathematical Proof

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. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466514904 Print ISBN: 978-1-4665-1490-4 eBook ISBN: 978-1-4665-1492-8 March 2014, 6-1/8 x 9-1/4, 414 pp., Soft Cover Suggested Price: $59.95 / £29.99

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Mathematics - Undergraduate TextbooksSection SectionMathematics - Undergraduate Textbooks Transition to Advanced Mathematics Introduction to Mathematical Proofs

Analysis Measure and Integral

Second Edition

An Introduction to Real Analysis, Second Edition

Charles E. Roberts, Jr.

Richard L. Wheeden

Indiana State University, Terre Haute, USA

Rutgers University, New Brunswick, New Jersey, USA

Series: Textbooks in Mathematics

Series: Chapman & Hall/CRC Pure and Applied Mathematics

This book prepares students for higher mathematics by focusing on the development of theorems and proofs.

Beginning with logic, the text discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers. It covers elementary topics in set theory, explores various properties of relations and functions, and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory. A solutions manual, an instructor’s manual, and figure slides are available upon qualifying course adoption.

This classic, highly respected text provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then introducing a more general treatment based on abstract notions characterized by axioms and with less geometric content. Packed with new exercises and material, this long-awaited second edition is revised for a new generation of upper-division undergraduate and first-year graduate students in mathematics, statistics, probability, or engineering.

http://www.crcpress.com/product/isbn/9781482246872 Print ISBN: 978-1-4822-4687-2 eBook ISBN: 978-1-4822-4689-6 December 2014, 6-1/8 x 9-1/4, 414 pp.

Suggested Price: $89.95 / £57.99

Mathematics - Undergraduate Textbooks Analysis

http://www.crcpress.com/product/isbn/9781498702898 Print ISBN: 978-1-4987-0289-8 eBook ISBN: 978-1-4987-0291-1 April 2015, 6-1/8 x 9-1/4, 532 pp.

Suggested Price: $89.95 / £57.99

Real Analysis and Foundations Third Edition Steven G. Krantz Washington University, St. Louis, Missouri, USA Series: Textbooks in Mathematics

A Course in Real Analysis Hugo D. Junghenn The George Washington University, Washington, D.C., USA

This extensively classroom-tested book provides a rigorous treatment of the foundations of differential and integral calculus at the advanced undergraduate level. It includes clear proofs, detailed examples, and numerous exercises.

The text progresses from single variable to multivariable functions, providing a logical development of material that makes the book suitable for one- and two-semester courses and prepares students for more advanced analysis-based courses. Relevant results from elementary set theory and linear algebra are summarized in the appendices.

A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482219272

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. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466587311 Print ISBN: 978-1-4665-8731-1 eBook ISBN: 978-1-4665-8733-5 June 2013, 6-1/8 x 9-1/4, 430 pp.

Suggested Price: $104.95 / £66.99

Print ISBN: 978-1-4822-1927-2 eBook ISBN: 978-1-4822-1935-7 February 2015, 6-1/8 x 9-1/4, 613 pp., Pack - Book and Ebook Suggested Price: $79.95 / £49.99

Advanced Calculus

Foundations of Analysis

Western Michigan University, Kalamazoo, USA

Steven G. Krantz Washington University, St. Louis, Missouri, USA

In a straightforward and concise way, this textbook helps students understand the key ideas and apply the theorems.

Each section begins with a boxed introduction that familiarizes students with the upcoming topics and sets the stage for the work to be done. Each chapter generally contains at least 50 exercises that build in difficulty, with an exercise set at the end of every section. This allows students to more easily link the exercises to the material in the section. A solutions manual, an instructor’s manual, and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482220742 Print ISBN: 978-1-4822-2074-2 eBook ISBN: 978-1-4822-2076-6 October 2014, 6-1/8 x 9-1/4, 312 pp.

Suggested Price: $69.95 / £44.99

Theory and Practice John Srdjan Petrovic 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. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466565630 Print ISBN: 978-1-4665-6563-0 eBook ISBN: 978-1-4665-6567-8 November 2013, 7 x 10, 572 pp.

Suggested Price: $104.95 / £66.99

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Mathematics - Undergraduate Textbooks

Mathematics - Undergraduate Textbooks

Analysis

Differential Equations

Improper Riemann Integrals

Differential Equations

Ioannis M. Roussos

Theory, Technique and Practice, Second Edition

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. http://www.crcpress.com/product/isbn/9781466588073 Print ISBN: 978-1-4665-8807-3 eBook ISBN: 978-1-4665-8808-0 December 2013, 6 x 9, 689 pp.

Suggested Price: $104.95 / £65.99

A Basic Course in Real Analysis Ajit Kumar

Steven G. Krantz Washington University, St. Louis, Missouri, USA Series: Textbooks in Mathematics

Designed for a one- or two-semester undergraduate course, this text educates a new generation of mathematical scientists and engineers on differential equations. This edition continues to emphasize examples and mathematical modeling as well as promote analytical thinking to help students in future studies. It improves the exercise sets and examples, reorganizes the material on numerical techniques, and enriches the presentation of predator-prey problems. It also updates the material on nonlinear differential equations and dynamical systems and includes a new appendix that reviews linear algebra. http://www.crcpress.com/product/isbn/9781482247022 Print ISBN: 978-1-4822-4702-2 eBook ISBN: 978-1-4822-4707-7 November 2014, 6-1/8 x 9-1/4, 557 pp.

Suggested Price: $99.95 / £57.99

Applied Differential Equations

Institute of Chemical Technology, Mumbai, India

An Introduction

S. Kumaresan

Vladimir A. Dobrushkin

School of Mathematics and Statistics, University of Hyderabad, India

Brown University, Providence, Rhode Island, USA Series: Textbooks in Mathematics

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. A solutions manual and figure slides are available upon qualifying course adoption.

Designed for a two-semester undergraduate course, this text presents a contemporary treatment of ODEs and an introduction to PDEs, including their applications in engineering and the sciences. It covers traditional material, along with novel approaches to mathematical modeling that harness the capabilities of numerical algorithms and popular computer software packages. The text contains practical techniques as well as corresponding codes for numerical solvers. Many examples and exercises help students master effective solution techniques. A solutions manual and figure slides are available upon qualifying course adoption.

http://www.crcpress.com/product/isbn/9781482216370 Print ISBN: 978-1-4822-1637-0 eBook ISBN: 978-1-4822-1638-7 January 2014, 6-1/8 x 9-1/4, 322 pp.

Suggested Price: $89.95 / £57.99

http://www.crcpress.com/product/isbn/9781439851043

Measure Theory and Fine Properties of Functions

A Course in Ordinary Differential Equations

Revised Edition

Second Edition

Lawrence C. Evans

Stephen A. Wirkus

University of California, Berkeley, USA

Arizona State University, Glendale, USA

Ronald F. Gariepy

Randall J. Swift

University of Kentucky, Lexington, USA

California State Polytechnic University, Pomona, USA

Series: Textbooks in Mathematics

Print ISBN: 978-1-4398-5104-3 eBook ISBN: 978-1-4398-5105-0 December 2014, 7 x 10, 731 pp., Pack - Book and Ebook Suggested Price: $99.95 / £49.99

This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. It emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. This second edition includes countless improvements in notation, format, and clarity of exposition. Also new are several sections describing the π-λ theorem, weak compactness criteria in L1, and Young measure methods for weak convergence. In addition, the bibliography has been updated. Figure slides are available upon qualifying course adoption.

This second edition presents analytical and numerical solution methods for typical engineering, physics, and mathematics applications. It uses the latest versions of MATLAB®, Maple™, and Mathematica® and moves the computer codes to “Computer Labs” at the end of each chapter. Along with new projects, exercises, and color graphs, this edition includes new sections on complex variables, the exponential response formula for solving nonhomogeneous equations, forced vibrations, and nondimensionalization. A solutions manual and figure slides are available upon qualifying course adoption.

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Print ISBN: 978-1-4822-4238-6 eBook ISBN: 978-1-4822-4240-9 April 2015, 6-1/8 x 9-1/4, 313 pp.

Suggested Price: $74.95 / £46.99

Print ISBN: 978-1-4665-0908-5 eBook ISBN: 978-1-4987-2369-5 December 2014, 6-1/8 x 9-1/4, 807 pp.

Suggested Price: $99.95 / £49.99

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Mathematics - Undergraduate Textbooks Section Differential Equations 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

Updated throughout, this second edition of a bestseller illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. It shows students how PDEs can model diverse problems, including the flow of heat, the propagation of sound waves, the spread of algae along the ocean’s surface, the fluctuation in the price of a stock option, and more. The text also contains many exercises, including standard ones and graphical problems using MATLAB®. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439898468 Print ISBN: 978-1-4398-9846-8 eBook ISBN: 978-1-4398-9849-9 June 2013, 6-1/8 x 9-1/4, 683 pp.

Suggested Price: $94.95 / £46.99

Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica Kuzman Adzievski South Carolina State University, Orangeburg, USA

Abul Hasan Siddiqi Sharda University, Greater Noida, India

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. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466510562 Print ISBN: 978-1-4665-1056-2 eBook ISBN: 978-1-4665-1058-6 October 2013, 6-1/8 x 9-1/4, 648 pp.

Suggested Price: $94.95 / £59.99

Computational Partial Differential Equations Using MATLAB® Jichun Li and Yi-Tung Chen

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

This text explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models. It shows how this powerful approach is valuable in getting plausible answers that can then be justified by modern analysis. Through its coverage of fundamental examples of PDEs, the book prepares students for studying more advanced topics such as pseudo-differential operators. It also helps them appreciate PDEs as beautiful structures in analysis rather than a bunch of isolated ad hoc techniques. Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466584013 Print ISBN: 978-1-4665-8401-3 eBook ISBN: 978-1-4665-8407-5 June 2013, 6-1/8 x 9-1/4, 184 pp.

Suggested Price: $83.95 / £52.99

Ordinary and Partial Differential Equations Victor Henner, Tatyana Belozerova, and Mikhail Khenner This text provides a complete and accessible course on ODEs and PDEs using many examples and exercises as well as intuitive, easy-to-use software. The book includes all the topics that form the core of a modern undergraduate or beginning graduate course in differential equations. It also discusses other optional but important topics such as integral equations, Fourier series, and special functions. Requiring no user programming, the accompanying computer software allows students to fully investigate problems. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466515000 Print ISBN: 978-1-4665-1500-0 eBook ISBN: 978-1-4665-1513-0 January 2013, 7 x 10, 644 pp.

Suggested Price: $89.95 / £59.99

Differential Equations with MATLAB® Exploration, Applications, and Theory Mark McKibben West Chester University, Pennsylvania, USA

University of Nevada, Las Vegas, USA

Micah D. Webster

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

Series: Textbooks in Mathematics

Goucher College, Baltimore, Maryland, USA

This text covers the classic finite difference method, the finite element method, and numerical methods, such as the high-order compact difference method and the radial basis function meshless method, for solving various PDEs in science and engineering. The authors uniquely emphasize both theoretical numerical analysis and practical implementation of the algorithms in MATLAB®. They include practical examples and exercises and provide the MATLAB source code online, enabling students to easily modify the codes to solve their own problems. A solutions manual is available upon qualifying course adoption.

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

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Print ISBN: 978-1-4200-8904-2 eBook ISBN: 978-1-4200-8905-9 October 2008, 6-1/4 x 9-1/4, 378 pp.

Suggested Price: $115.95 / £73.99

Print ISBN: 978-1-4665-5707-9 eBook ISBN: 978-1-4665-5709-3 September 2014, 7 x 10, 497 pp.

Suggested Price: $99.95 / £63.99

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7

Mathematics - Undergraduate Textbooks Mathematical Modeling Computational Mathematics

Mathematical Modeling

Models, Methods, and Analysis with MATLAB® and MPI, Second Edition

Models, Analysis and Applications

Robert E. White

Indian Institute of Technology, Roorkee

North Carolina State University, Raleigh, USA

This how-to guide 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. MATLAB®, Mathematica®, and MatCont are incorporated throughout the text. The examples and exercises in each chapter can be used as problems in a project. A solutions manual and figure slides are available upon qualifying course adoption.

Series: Textbooks in Mathematics

This text is designed for mathematical modeling courses that teach programming with MATLAB®. Many examples show how to apply a model, select a numerical method, implement computer simulations, and assess the ensuing results. By using MATLAB code in a practical way instead of as a “black box,” students take the first steps toward more sophisticated numerical modeling. The book also focuses on multiprocessing algorithms implemented using message passing interface (MPI).

All of the codes are available for download online. Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482235159 Print ISBN: 978-1-4822-3515-9 November 2015, 7 x 10, 496 pp.

Suggested Price: $99.95 / £63.99

Mathematical Modelling with Case Studies Using Maple™ and MATLAB®, Third Edition B. Barnes

Sandip Banerjee

http://www.crcpress.com/product/isbn/9781439854518 Print ISBN: 978-1-4398-5451-8 eBook ISBN: 978-1-4398-5452-5 February 2014, 6-1/8 x 9-1/4, 276 pp.

Suggested Price: $89.95 / £57.99

Mathematics - Undergraduate Textbooks Numerical Analysis & Numerical Methods Numerical Analysis for Engineers

G.R. Fulford

Methods and Applications, Second Edition

University of Technology, Brisbane, Australia

Bilal Ayyub and Richard H. McCuen

Australian National University, Canberra, Australia

Series: Textbooks in Mathematics

University of Maryland, College Park, USA

This popular text provides students with hands-on modeling skills for a wide variety of problems involving differential equations that describe rates of change. This edition includes updated Maple™ and MATLAB® code as well as new case studies and exercises. The text carefully details the process of constructing a model. It uses flow diagrams and word equations to aid in the model-building process and to develop the mathematical equations. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482247725 Print ISBN: 978-1-4822-4772-5 eBook ISBN: 978-1-4987-2374-9 December 2014, 7 x 10, 388 pp.

Suggested Price: $89.95 / £39.99

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. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439898864 Print ISBN: 978-1-4398-9886-4 eBook ISBN: 978-1-4398-9888-8 July 2013, 6-1/8 x 9-1/4, 363 pp.

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Series: Textbooks in Mathematics

Designed for a one-semester undergraduate introduction to numerical methods, this text covers both the theory and practice of numerical methods for mathematics and engineering. With a wealth of exercises, it emphasizes the practical aspects of numerical methods and addresses their advantages and disadvantages. Novices and practicing engineers will understand the fundamentals, limitations, and potential of numerical methods. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482250350 Print ISBN: 978-1-4822-5035-0 October 2015, 7 x 10, 456 pp.

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Classical and Modern Numerical Analysis Theory, Methods, and Practice Azmy S. Ackleh, Edward James Allen, Ralph Baker Kearfott, and Padmanabhan Seshaiyer Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing

Helping students prepare for doctoral examinations in numerical analysis, this text provides a sound introduction to the theory and application of computational methods for applied mathematics problems. It also assists students in understanding the mathematical literature in this area. The authors present the most important advanced aspects of numerical linear algebra, finite element theory, approximation theory, optimization, and integral equations. They also cover interval computation methods in numerical analysis and include fully worked out solutions for selected problems. An instructor’s manual is available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781420091571 Print ISBN: 978-1-4200-9157-1 eBook ISBN: 978-1-4200-9158-8 July 2009, 6-1/8 x 9-1/4, 628 pp.

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Mathematics - Undergraduate Textbooks

Mathematics - Undergraduate Textbooks

Numerical Analysis & Numerical Methods

Abstract Algebra

Introduction to Numerical Analysis and Scientific Computing Nabil Nassif and Dolly Khuwayri Fayyad 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®. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466589483 Print ISBN: 978-1-4665-8948-3 eBook ISBN: 978-1-4665-8950-6 August 2013, 6-1/8 x 9-1/4, 329 pp.

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Numerical Methods and Optimization

Abstract Algebra Structures and Applications Stephen Lovett Taking a discovery-based approach, this text helps students understand the abstraction of modern algebra.

It uses the general concept of an algebraic structure as a unifying principle and introduces other algebraic structures besides the three standard ones (groups, rings, and fields).

Examples, exercises, investigative projects, and entire sections illustrate how abstract algebra is applied to areas of science and other branches of mathematics, including cryptography and geometry. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482248906 Print ISBN: 978-1-4822-4890-6 July 2015, 8-1/2 x 11, 720 pp.

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An Introduction

Introduction to Abstract Algebra

Sergiy Butenko

Second Edition

Texas A&M University, College Station, USA

Panos M. Pardalos University of Florida, Gainesville, USA Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing

Jonathan D.H. Smith Iowa State University, Ames, USA Series: Textbooks in Mathematics

This book combines the materials from introductory numerical methods and introductory optimization courses into a single text. This classroom-tested 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 or operations research course. A MATLAB® guide and code are available for download. A solutions manual and figure slides are available upon qualifying course adoption.

Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from first principles. The book covers applications from biology, science, and engineering. The author uses a groups before rings approach, the most commonly taught structure. A solutions manual and figure slides are available upon qualifying course adoption.

http://www.crcpress.com/product/isbn/9781466577770

http://www.crcpress.com/product/isbn/9781498731614

Print ISBN: 978-1-4665-7777-0 eBook ISBN: 978-1-4665-7779-4 March 2014, 6-1/8 x 9-1/4, 412 pp.

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Print ISBN: 978-1-4987-3161-4 October 2015, 6-1/8 x 9-1/4, 350 pp.

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Mathematics - Undergraduate Textbooks Abstract Algebra

A First Course in Abstract Algebra Rings, Groups, and Fields, Third Edition

Applied Abstract Algebra with Maple™ and MATLAB®

Marlow Anderson

Third Edition

Denison University, Granville, Ohio, USA

Richard Klima, Neil P. Sigmon, an dErnest Stitzinger

Like its popular predecessors, this text develops ring theory first by drawing on students’ familiarity with integers and polynomials. This unique approach motivates students in studying abstract algebra and helps them understand the power of abstraction.

This edition makes it easier to teach unique factorization as an optional topic and reorganizes the core material on rings, integral domains, and fields. Along with new exercises on Galois theory, it also includes a more detailed treatment of permutations as well as new chapters on Sylow theorems. A solutions manual is available upon qualifying course adoption.

Series: Textbooks in Mathematics

This book provides the prerequisite advanced mathematics and examines block designs, coding theory, and cryptography while also covering counting techniques, including Pólya’s and Burnside’s theorems. Eliminating the need for heavy number crunching, Maple™ and MATLAB® open the door to areas that are dependent on abstract algebra, such as cryptography, coding theory, and combinatorics. The book shows students how to apply the software programs to abstract algebra and its related fields. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482248234 Print ISBN: 978-1-4822-4823-4 December 2015, 6-1/8 x 9-1/4, 552 pp.

Suggested Price: $89.95 / £57.99

Colorado College, Colorado Springs, USA

Todd Feil

http://www.crcpress.com/product/isbn/9781482245523 Print ISBN: 978-1-4822-4552-3 eBook ISBN: 978-1-4822-4554-7 November 2014, 7 x 10, 552 pp., Pack - Book and Ebook Suggested Price: $89.95 / £57.99

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9

Probability & Statistics Undergraduate Textbooks

Mathematics - Undergraduate Textbooks Abstract Algebra Abstract Algebra An Inquiry-Based Approach Jonathan K. Hodge, Steven Schlicker, and Ted Sundstrom 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. Each chapter also discusses the connections among topics in ring theory and group theory. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466567061 Print ISBN: 978-1-4665-6706-1 eBook ISBN: 978-1-4822-2194-7 December 2013, 7 x 10, 595 pp.

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Probability & Statistics Undergraduate Textbooks Probability / Probability & Statistics for Engineers / Stochastic Processes / Monte Carlo Methods

Probability / Probability & Statistics for Engineers / Stochastic Processes / Monte Carlo Methods An Introduction to Stochastic Processes with Applications to Biology Second Edition Linda J.S. Allen Texas Tech University, Lubbock, USA

This text presents the basic theory of stochastic processes necessary to understand and apply stochastic methods to biological problems. This edition contains a new chapter on stochastic differential equations that extends basic theory to multivariate processes. Along with additional references, it now includes examples and exercises from cellular and molecular biology and doubles the number of exercises and MATLAB® programs at the end of each chapter. An instructor’s manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439818824 Print ISBN: 978-1-4398-1882-4 eBook ISBN: 978-1-4398-7639-8 December 2010, 6-1/4 x 9-1/4, 496 pp.

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Monte Carlo Simulation with Applications to Finance Hui Wang

Introduction to Probability Joseph K. Blitzstein Harvard University, Cambridge, Massachusetts, USA

Jessica Hwang 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. A solutions manual, an instructor’s manual, and figure slides are available upon qualifying course adoption.

Brown University, Providence, Rhode Island, USA Series: Chapman & Hall/CRC Financial Mathematics

Developed from the author’s course, this text provides a self-contained introduction to Monte Carlo methods in financial engineering. It covers common variance reduction techniques, the cross-entropy 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. Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439858240

http://www.crcpress.com/product/isbn/9781466575578

Print ISBN: 978-1-4398-5824-0 eBook ISBN: 978-1-4398-5825-7 May 2012, 6-1/4 x 9-1/4, 292 pp.

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Probability and Stochastic Modeling

Markov Processes James R. Kirkwood Sweet Briar College, Virginia, USA Series: Advances in Applied Mathematics

This text fills a niche between a calculus-based probability course and a stochastic processes course typically taken by upper undergraduate students. While Markov processes are touched on in probability courses, this book offers the opportunity to concentrate on the topic when additional study is required. It discusses how Markov processes are applied in a number of fields, including economics, physics, and mathematical biology.

Vladimir I. Rotar San Diego State University, California, USA

This book not only covers all the topics found in a traditional introductory probability course, but also emphasizes stochastic modeling, including Markov chains, birth-death processes, and reliability models. Unlike most undergraduate-level probability texts, the book also focuses on increasingly important areas, such as martingales, classification of dependency structures, and risk evaluation. Numerous examples, exercises, and models using real-world data demonstrate the practical possibilities and restrictions of different approaches and help students grasp general concepts and theoretical results. A solutions manual and figure slides are available upon qualifying course adoption.

http://www.crcpress.com/product/isbn/9781482240733

http://www.crcpress.com/product/isbn/9781439872062

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Probability & Statistics Undergraduate & Graduate Textbooks Statistics for Social & Behavioral Sciences 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, discrete- and 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 and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466589339 Print ISBN: 978-1-4665-8933-9 eBook ISBN: 978-1-4665-8935-3 July 2013, 6-1/8 x 9-1/4, 208 pp.

Suggested Price: $83.95 / £52.99

Mathematics - Undergraduate Textbooks Number Theory

Mathematics - Undergraduate Textbooks Number Theory / Cryptology / Cryptography An Introduction to Number Theory with Cryptography James S. Kraft Gilman School, Baltimore, Maryland, USA

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

This text presents number theory along with many interesting applications. Designed for an undergraduatelevel course, it covers standard number theory topics and gives instructors the option of integrating several other topics into their coverage.

“Check your understanding” problems aid in learning the basics. The book also includes numerous exercises, projects, and computer explorations of varying levels of difficulty. A solutions manual, an instructor’s manual, and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482214413 Print ISBN: 978-1-4822-1441-3 eBook ISBN: 978-1-4822-1442-0 September 2013, 6-1/8 x 9-1/4, 572 pp.

Suggested Price: $94.95 / £59.95

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

Introduction to Number Theory

Neil P. Sigmon

Second Edition

Series: Discrete Mathematics and Its Applications

Anthony Vazzana and David Garth Truman State University, Missouri, USA Series: Textbooks in Mathematics

This classroom-tested, student-friendly text illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics.

It also describes applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic, Euler’s theorem in RSA encryption, and quadratic residues in the construction of tournaments. The book interweaves the theoretical development of the material with Mathematica® and Maple™ calculations while giving brief tutorials on the software in the appendices. Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781498717496 Print ISBN: 978-1-4987-1749-6 November 2015, 6-1/8 x 9-1/4, 424 pp.

Suggested Price: $89.95 / £57.95

Elementary Number Theory James S. Kraft Gilman School, Baltimore, Maryland, USA

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

This text teaches students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. “Check your understanding” problems assess whether students have learned essential information. At the end of every chapter, exercises reinforce an understanding of the material. Other exercises introduce new and interesting ideas while computer exercises reflect the kinds of explorations that number theorists often carry out in their research. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781498702683 Print ISBN: 978-1-4987-0268-3 eBook ISBN: 978-1-4987-0270-6 November 2014, 6-1/8 x 9-1/4, 411 pp.

Suggested Price: $79.95 / £49.99

Radford University, Virginia, USA

In a clear, nontechnical manner, this text explains how fundamental mathematical concepts are the bases of cryptographic algorithms. It covers the Enigma machine and Navajo code used during World War II, describes the implementation and cryptanalysis of classical ciphers, and gives straightforward explanations of the AES, public-key ciphers, and message authentication. The book assumes minimal mathematical prerequisites and incorporates easy-to-use Maplets that provide practical examples of the techniques. The Maplets are available for download online. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439872413 Print ISBN: 978-1-4398-7241-3 eBook ISBN: 978-1-4398-7242-0 June 2012, 6-1/8 x 9-1/4, 548 pp.

Suggested Price: $87.95 / £55.99

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

Yehuda Lindell Bar-Ilan University, Ramat Gan, Israel Series: Chapman & Hall/CRC Cryptography and Network Security

This book presents the fundamental paradigms of modern cryptography to a general audience with a basic mathematics background.

Integrating a practical perspective without sacrificing rigor, this edition offers improved treatments of several topics, including stream ciphers, authenticated encryption, hash functions, attacks on poorly implemented cryptography, the random-oracle model, elliptic-curve cryptography, standardized encryption, MAC, and digital signature schemes. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466570269 Print ISBN: 978-1-4665-7026-9 eBook ISBN: 978-1-4665-7027-6 November 2014, 6-1/8 x 9-1/4, 603 pp.

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11

Mathematics - Undergraduate Textbooks

Mathematics - Undergraduate Textbooks

Linear Algebra

Linear Algebra / Logic

Introduction to Computational Linear Algebra

Exploring Linear Algebra

Nabil Nassif, Jocelyne Erhel, and Bernard Philippe

Crista Arangala

This text presents classroom-tested material on computational linear algebra and its application to numerical solutions of PDEs and ODEs. It covers the fundamentals needed in numerical linear algebra and describes many methods for solving a range of linear equations. The book expresses the numerical methods using pseudo-code or a detailed MATLAB® program. Numerous exercises and computer projects test students’ understanding of the mathematics of numerical methods and the art of computer programming. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482258691 Print ISBN: 978-1-4822-5869-1 eBook ISBN: 978-1-4822-5872-1 June 2015, 6-1/8 x 9-1/4, 259 pp., Pack - Book and Ebook Suggested Price: $79.95 / £49.99

Labs and Projects with Mathematica® Elon University, North Carolina, USA Series: Textbooks in Mathematics

This supplement for linear algebra courses provides a hands-on lab manual that includes exercises, theorems, and problems. The exercises section integrates problems, technology, Mathematica® visualization, and Mathematica CDFs, enabling students to discover the theory and applications of linear algebra in a meaningful way. The theorems and problems section presents the theoretical aspects of linear algebra. Each chapter also contains application-driven projects that students can use as the basis for further undergraduate research. Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482241495 Print ISBN: 978-1-4822-4149-5 eBook ISBN: 978-1-4822-4151-8 November 2014, 6-1/8 x 9-1/4, 151 pp.

Suggested Price: $49.95 / £31.99

Introduction to Mathematical Logic Advanced Linear Algebra Second Edition

Sixth Edition Elliott Mendelson Queens College, Flushing, New York, USA

Bruce N. Cooperstein

Series: Discrete Mathematics and Its Applications

University of California, Santa Cruz, USA

This bestselling, classic textbook continues to provide a complete one-semester introduction to mathematical logic. The sixth edition incorporates recent work on Gödel’s second incompleteness theorem as well as an appendix on consistency proofs for first-order arithmetic. It also offers historical perspectives and many new exercises of varying difficulty, which motivate and lead students to an in-depth, practical understanding of the material. A solutions manual and figure slides are available upon qualifying course adoption.

Series: Textbooks in Mathematics

This book discusses structure theory of an operator, topics on inner product spaces, and trace and determinant functions of a linear operator. It addresses bilinear forms with a full treatment of symplectic spaces and orthogonal spaces as well as explains construction of tensor, symmetric, and exterior algebras.

Featuring several new exercises, this second edition adds coverage of sesquilinear forms, linear groups, matrices, normed vector spaces, orthogonal spaces over perfect fields of characteristic two, and Clifford algebras. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482248845 Print ISBN: 978-1-4822-4884-5 eBook ISBN: 978-1-4987-4397-6 May 2015, 6 x 9, 622 pp.

Suggested Price: $89.95 / £57.99

Linear Algebra, Geometry and Transformation Bruce Solomon Indiana University, Bloomington, USA Series: Textbooks in Mathematics

This text provides students with a solid geometric grasp of linear transformations. It stresses the linear case of the inverse function and rank theorems and gives a careful geometric treatment of the spectral theorem. The text starts with basic questions about images and pre-images of mappings, injectivity, surjectivity, and distortion. In the process of answering these questions in the linear setting, the book covers all the standard topics for a first course on linear algebra.

Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482299281 Print ISBN: 978-1-4822-9928-1 eBook ISBN: 978-1-4822-9931-1 December 2014, 7 x 10, 474 pp., Pack - Book and Ebook Suggested Price: $89.95 / £57.99

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http://www.crcpress.com/product/isbn/9781482237726 Print ISBN: 978-1-4822-3772-6 eBook ISBN: 978-1-4822-3780-1 June 2015, 6-1/8 x 9-1/4, 513 pp.

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Mathematics - Undergraduate Textbooks Topology Differential Geometry of Curves and Surfaces Second Edition Thomas F. Banchoff Brown University, Providence, Rhode Island, USA

Stephen T. Lovett Wheaton College, Illinois, USA

This self-contained text takes both an analytical/ theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. It develops students’ geometric intuition through interactive computer graphics applets supported by sound theory. This edition includes more exercises and project ideas, reorganized material on the Gauss–Bonnet theorem, and a new chapter on curves and surfaces in Rn. New sections cover applications to cartography and problems in spherical and hyperbolic geometry. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482247343 Print ISBN: 978-1-4822-4734-3 August 2015, 7-1/2 x 9-1/4, 430 pp.

Suggested Price: $69.95 / £44.99

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Mathematics - Undergraduate Textbooks

Mathematics - Undergraduate Textbooks

Topology

Graph Theory

An Illustrated Introduction to Topology and Homotopy

Graphs & Digraphs

Sasho Kalajdzievski

Gary Chartrand, Linda Lesniak, and Ping Zhang

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. A solutions manual is available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439848159 Print ISBN: 978-1-4398-4815-9 eBook ISBN: 978-1-4398-4816-6 March 2015, 7 x 10, 485 pp.

Suggested Price: $89.95 / £57.99

Mathematics - Undergraduate Textbooks Optimization Linear and Integer Optimization Theory and Practice, Third Edition Gerard Sierksma University of Groningen, The Netherlands

Yori Zwols

Fifth Edition Western Michigan University, Kalamazoo, USA Series: Textbooks in Mathematics

Nearly 50 percent longer than its bestselling predecessor, this student-friendly, classroom-tested text reorganizes the material and presents many new topics, including graph minors, perfect graphs, chromatic polynomials, nowherezero flows, flows in networks, degree sequences, toughness, list colorings, and list edge colorings. It also contains new examples, figures, and applications; expanded historical discussions of well-known mathematicians and problems; and more than 300 new exercises, along with hints and solutions to odd-numbered exercises. A solutions manual is available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439826270 Print ISBN: 978-1-4398-2627-0 eBook ISBN: 978-1-4398-2629-4 October 2010, 6-1/4 x 9-1/4, 598 pp.

Suggested Price: $97.95 / £56.99

Mathematics - Undergraduate Textbooks Introduction to Mathematical Finance Introduction to Financial Mathematics Kevin J. Hastings Knox College, Galesburg, Illinois, USA

Google, London, UK Series: Advances in Applied Mathematics

Series: Advances in Applied Mathematics

This textbook covers basic topics, such as Dantzig’s simplex algorithm, duality, sensitivity analysis, integer optimization models, and network models, as well as more advanced topics, including interior point algorithms, the branch-and-bound algorithm, cutting planes, and complexity. Along with case studies, it also discusses more advanced techniques, such as column generation, multiobjective optimization, and game theory. It includes computer code in the form of models in GMPL. All chapters contain extensive examples and exercises. A solutions manual and figure slides are available upon qualifying course adoption.

This book prepares students for the actuarial exam, motivates them through a discussion of personal finances and portfolio management, and goes on to cover higherlevel mathematics, such as stochastic calculus and Brownian motion. The author blends the topics, examples, and exercises from the various available books and standardizes the course syllabi with a very wellthought table of contents. A solutions manual and figure slides are available upon qualifying course adoption.

http://www.crcpress.com/product/isbn/9781498710169 Print ISBN: 978-1-4987-1016-9 eBook ISBN: 978-1-4987-1022-0 May 2015, 7 x 10, 686 pp.

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A First Course in Optimization Charles L. Byrne

http://www.crcpress.com/product/isbn/9781498723909 Print ISBN: 978-1-4987-2390-9 October 2015, 6-1/8 x 9-1/4, 406 pp.

Suggested Price: $89.95 / £57.99

Quantitative Finance A Simulation-Based Introduction Using Excel

University of Massachusetts Lowell, USA

Matt Davison

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 covers the fundamental problems of constrained and unconstrained optimization, linear and convex programming, basic iterative solution algorithms, and more general iterative optimization methods. A solutions manual and figure slides are available upon qualifying course adoption.

Accessible to students with a relatively modest level of mathematical background, this book not only enables students to practice with the basic techniques of financial mathematics, but it also helps them gain significant intuition about what the techniques mean, how they work, and what happens when they stop working. It uses both hand calculations and Excel spreadsheets to analyze plenty of examples from simple bond portfolios. The spreadsheets are available on the book’s CRC Press web page. A solutions manual and figure slides are available upon qualifying course adoption.

University of Western Ontario, London, Canada

http://www.crcpress.com/product/isbn/9781482226560

http://www.crcpress.com/product/isbn/9781439871683

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Print ISBN: 978-1-4398-7168-3 eBook ISBN: 978-1-4822-3782-5 May 2014, 6-1/8 x 9-1/4, 532 pp.

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13

Mathematics - Undergraduate TextbooksSectionMathematics - Undergraduate Textbooks Introduction to Mathematical Finance Actuarial Models The Mathematics of Insurance, Second Edition Vladimir I. Rotar San Diego State University, California, USA

Preparing students to take their actuarial exams, this text covers the basic models of insurance processes and presents the mathematical frameworks and methods used in actuarial modeling. It contains the standard material taught in actuarial modeling courses as well as several advanced topics. This second edition revises all chapters, especially material on the surplus process, and takes into account recent developments in teaching actuarial modeling. It includes a new chapter on pension models and new problems from Casualty Actuarial Society exams. A solutions manual and figure slides are available upon qualifying course adoption.

General Interest Galois Theory Fourth Edition Ian Stewart This bestseller continues to deliver a rigorous yet engaging treatment of the subject while keeping pace with current educational requirements. This fourth edition replaces the topological proof of the fundamental theorem of algebra with a simple and plausible result from point-set topology.

It revises the chapter on ruler-and-compass constructions and includes a new section on constructions using an angle-trisector. In addition, a new chapter takes a retrospective look at what Galois actually did compared to what many assume he did. A solutions manual and figure slides are available upon qualifying course adoption.

http://www.crcpress.com/product/isbn/9781482227062

http://www.crcpress.com/product/isbn/9781482245820

Print ISBN: 978-1-4822-2706-2 eBook ISBN: 978-1-4822-2709-3 August 2014, 7 x 10, 654 pp., Pack - Book and Ebook Suggested Price: $99.95 / £63.99

Print ISBN: 978-1-4822-4582-0 eBook ISBN: 978-1-4822-4584-4 March 2015, 6-1/8 x 9-1/4, 344 pp., Soft Cover Suggested Price: $59.95 / £38.99

Mathematics - Undergraduate Textbooks Game Theory

Variational Methods in Image Processing

The Mathematics of Games

Luminita A. Vese

An Introduction to Probability

Carole Le Guyader

David G. Taylor Roanoke College, Salem, Virginia, USA Series: Textbooks in Mathematics

This text takes an inquiry-based approach to teaching the standard material for an introductory probability course. It also discusses different games and ideas that relate to the law of large numbers as well as some more mathematical topics not typically found in similar books. Written in an accessible, student-friendly style, the book uses questions about various games (not just casino games) to motivate the mathematics. It explains the examples in detail and offers ample exercises for students to practice their skills. Figure slides are available upon qualifying course adoption.

University of California, Los Angeles, USA National Institute of Applied Sciences (INSA) Rouen, France Series: Chapman & Hall/CRC Mathematical and Computational Imaging Sciences

Balancing theory with practical approaches, this book covers a wide range of variational methods and their applications. The first part of the text focuses on image restoration, covering regularization, minimization, and nonlocal and higher-order variational methods. The second part addresses image segmentation, including the Mumford and Shah segmentation problem. The final section discusses varational image processing on manifolds. An accompanying CD-ROM includes MATLAB® code and color figures. A solutions manual and figure slides are available upon qualifying course adoption.

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Mathematics - Undergraduate Textbooks General Interest Math and Art

Third Edition Lokenath Debnath and Dambaru Bhatta

An Introduction to Visual Mathematics Sasho Kalajdzievski University of Manitoba, Winnipeg, Canada

This introduction explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With color figures and animations on a CD, it includes numerous illustrations, computergenerated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art. The text also contains simple proofs, along with exercises at the end of every section. Each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. http://www.crcpress.com/product/isbn/9781584889137 Print ISBN: 978-1-58488-913-7 June 2008, 6-3/4 x 9-3/4, 272 pp., Soft Cover Suggested Price: $68.95 / £38.99

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Integral Transforms and Their Applications University of Texas-Pan Am, Edinburg, USA

Through numerous examples and end-of-chapter exercises, this book develops students’ analytical and computational skills in the theory and applications of transform methods. It covers advanced mathematical methods for many applications in science and engineering. The book presents a systematic development of the underlying theory as well as a modern approach to Fourier, Laplace, Hankel, Mellin, Radon, Gabor, wavelet, and Z transforms. This third edition includes revised chapters, several new sections, new examples of applications, new exercises with solutions, and many more new features. Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482223576 Print ISBN: 978-1-4822-2357-6 eBook ISBN: 978-1-4822-2358-3 November 2014, 6-1/8 x 9-1/4, 818 pp.

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Mathematics - Undergraduate Textbooks

Mathematics

General Interest

Elective & Graduate Textbooks

Basic Gambling Mathematics

Basic Algebraic Topology

The Numbers Behind the Neon

Anant R. Shastri

Mark Bollman Albion College, Michigan, USA

This book explains the mathematics involved in analyzing games of chance. It helps students understand the mathematical reasons why some gambling games are better for the player than others. Along with discussing the mathematics of well-known casino games, the author examines game variations that have been proposed or used in actual casinos.

Numerous examples illustrate the mathematical ideas in a range of casino games while end-of-chapter exercises go beyond routine calculations to give students hands-on experience with casino-related computations. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781482208931 Print ISBN: 978-1-4822-0893-1 eBook ISBN: 978-1-4822-0894-8 June 2014, 6-1/8 x 9-1/4, 284 pp., Soft Cover Suggested Price: $59.95 / £38.99

A Mathematical Look at Politics E. Arthur Robinson, Jr. and Daniel H. Ullman George Washington University, Washington, D.C., USA

This textbook is based on a popular mathematics and politics course that the authors have taught at George Washington University for many years. It explores the mathematics of politics, showing how mathematical reasoning is connected to the pressing issues of contemporary politics and in the liberal arts. Focusing on voting, apportionment, conflict, and the Electoral College, each part of the text examines a type of decision problem and a way to solve it. Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439819838 Print ISBN: 978-1-4398-1983-8 eBook ISBN: 978-1-4398-1984-5 December 2010, 6-1/4 x 9-1/4, 477 pp.

Suggested Price: $59.95 / £37.99

Mathematics

Indian Institute of Technology Bombay, Mumbai, Maharastra

Thoroughly classroom-tested, this self-contained text provides plenty of material for a two-semester first course in algebraic topology, taking students all the way to becoming algebraic topologists. It covers many important results, concepts, and applications in standard algebraic topology—including topics not typically covered in introductory texts. Historical remarks throughout the text make the subject more meaningful to students. The book provides references for further reading, presents full proofs of all results, and includes numerous exercises.

A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466562431 Print ISBN: 978-1-4665-6243-1 eBook ISBN: 978-1-4665-6249-3 October 2013, 7 x 10, 551 pp.

Suggested Price: $94.95 / £59.99

Computational Number Theory Abhijit Das Indian Institute of Technology, Kharagpur Series: Discrete Mathematics and Its Applications

Developed from the author’s popular graduate-level course, this self-contained text presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra and requiring no prior experience with number theory or sophisticated algebraic tools, the book covers many computational aspects of number theory and highlights important and interesting engineering applications. With an emphasis on implementation issues, it uses the freely available number-theory calculator GP/PARI to demonstrate complex arithmetic computations. The text includes numerous examples and exercises throughout and omits lengthy proofs. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439866153 Print ISBN: 978-1-4398-6615-3 eBook ISBN: 978-1-4398-6618-4 March 2013, 6-1/8 x 9-1/4, 614 pp.

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Elective & Graduate Textbooks Mathematics and Music Composition, Perception, and Performance James S. Walker and Gary W. Don

Encounters with Chaos and Fractals Second Edition Denny Gulick

University of Wisconsin, Eau Claire, USA

University of Maryland, College Park, 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. Numerous examples of music notation assist students in understanding basic musical scores. The text also provides mathematical explanations for musical scales, harmony, and rhythm. Video demos, music software, and more are available on the book’s CRC Press web page.

A solutions manual and figure slides are available upon qualifying course adoption.

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. A solutions manual and figure slides are available upon qualifying course adoption.

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Mathematics Elective & Graduate Textbooks

Operations Research, Financial Mathematics, & Business Management Graduate Textbooks

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

This classroom-tested text shows how to employ simple mathematical tools, such as arithmetic, to uncover fundamental conflicts between the logic of human civilization and the logic of Nature. Only requiring proficiency in high school-level mathematics, the text includes numerous applications, from population and economic models, epidemics, financial mathematics, and DNA computing to climate change, pollution, solar energy, and media literacy. It also offers many problem sets within each section. Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439834725 Print ISBN: 978-1-4398-3472-5 eBook ISBN: 978-1-4398-7713-5 January 2011, 6-1/8 x 9-1/4, 679 pp.

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Elements of Topology Tej Bahadur Singh University of Delhi, India

This text provides a basic introduction to point-set topology and algebraic topology. It is intended for advanced undergraduate and beginning graduate students with working knowledge of analysis and algebra. Topics discussed include the theory of convergence, function spaces, topological transformation groups, fundamental groups, and covering spaces. The author makes the subject accessible by providing more than 250 worked examples and counterexamples with applications. The text also includes numerous end-of-section exercises to put the material into context. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439871959 Print ISBN: 978-1-4398-7195-9 eBook ISBN: 978-1-4398-7196-6 May 2013, 6-1/8 x 9-1/4, 552 pp.

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Probability & Statistics Graduate Textbooks Mathematical Statistics Basic Ideas and Selected Topics, Volume II Peter J. Bickel University of California, Berkeley, USA

Kjell A. Doksum University of Wisconsin–Madison, USA Series: Chapman & Hall/CRC Texts in Statistical Science

This second volume focuses on inference in non- and semiparametric models, including topics in machine learning. It not only reexamines the procedures introduced in the authors’ first volume from a more sophisticated point of view but also addresses new problems originating from the analysis of estimation of functions and other complex decision procedures and large-scale data analysis. Numerous examples and problems illustrate statistical modeling and inference concepts. Measure theory is not required for understanding. Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781498722681 Print ISBN: 978-1-4987-2268-1 September 2015, 7 x 10, 468 pp., Pack - Book and Ebook Suggested Price: $99.95 / £63.99

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Business Process Modeling, Simulation and Design Second Edition Manuel Laguna University of Colorado, Boulder, USA

Johan Marklund 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. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439885253 Print ISBN: 978-1-4398-8525-3 eBook ISBN: 978-1-4665-8440-2 April 2013, 7 x 10, 523 pp.

Suggested Price: $104.95 / £66.99

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

Yavuz Burak Canbolat Abbott Laboratories, Abbott Park, Illinois, USA

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. The authors analyze strengths and weaknesses of the best alternatives, enabling decision makers to improve on these alternatives by adding value and reducing risk. Numerous examples highlight realworld situations from everyday life, public policy, and industry. Software tutorials and other material are available on the book’s website. Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781420075724 Print ISBN: 978-1-4200-7572-4 eBook ISBN: 978-1-4200-7576-2 October 2011, 7 x 10, 578 pp.

Suggested Price: $154.95 / £99.00

Computational Methods in Finance Ali Hirsa Caspian Capital Management, LLC, New York, USA Series: Chapman & Hall/CRC Financial Mathematics

Helping students accurately price a vast array of derivatives, this self-contained text explains how to solve complex functional equations through numerical methods. It addresses key computational methods in finance, including transform techniques, the finite difference method, and Monte Carlo simulation.

Developed from the author’s courses at Columbia University and the Courant Institute of New York University, the book also covers model calibration and optimization and describes techniques, such as Kalman and particle filters, for parameter estimation. Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439829578 Print ISBN: 978-1-4398-2957-8 eBook ISBN: 978-1-4398-2958-5 September 2012, 7 x 10, 444 pp.

Suggested Price: $93.95 / £62.99

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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

This text provides students with a foundation in the key methods and models of quantitative finance. Through an approach based on C++ classes and templates, the text highlights the basic principles common to various methods and models while the algorithmic implementation guides students to a more thorough, hands-on understanding. It also presents recipes and extensible code building blocks for some of the most widespread methods in risk management and option pricing. C++ code and other materials are available on the author’s website. Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781584884798 Print ISBN: 978-1-58488-479-8 eBook ISBN: 978-1-4200-1042-8 November 2013, 6-1/8 x 9-1/4, 354 pp.

Suggested Price: $83.95 / £52.99

Financial Mathematics A Comprehensive Treatment

Pricing in General Insurance Pietro Parodi Swiss Re, London, UK

This book is based on the syllabus of the actuarial industry course on general insurance pricing. It delivers a practical introduction to all aspects of general insurance pricing, covering data preparation, frequency analysis, severity analysis, Monte Carlo simulation for the calculation of aggregate losses, and burning cost analysis. Providing case studies, examples, exercises, and step-by-step methods, the text presents pricing as a formalized process that starts with collecting information about a particular policyholder or risk and ends with a commercially informed rate.

Figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781466581449 Print ISBN: 978-1-4665-8144-9 October 2014, 7 x 10, 584 pp.

Suggested Price: $99.95 / £59.99

Mathematics for Computer Science Undergraduate Textbooks Practical Linear Algebra A Geometry Toolbox, Third Edition Gerald Farin

Giuseppe Campolieti and Roman N. Makarov

Arizona State University, Tempe, USA

Wilfrid Laurier University, Waterloo, Ontario, Canada

Dianne Hansford

Series: Chapman & Hall/CRC Financial Mathematics

FarinHansford R&D, Paradise Valley, Arizona, USA

Tested and refined through years of the authors’ teaching experiences, this text provides a unified, selfcontained account of the main theory and application of methods behind modern-day financial mathematics.

With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. A solutions manual and figure slides are available upon qualifying course adoption.

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. A solutions manual, figure slides, and a test bank are available upon qualifying course adoption.

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

The challenges of the financial environment have revealed the need for a new generation of professionals who combine training in traditional finance disciplines with an understanding of sophisticated quantitative and analytical tools. This book shows how simulation modeling and analysis can help solve problems of risk management related to market, credit, operational, business, and strategic risk.

Making simulation accessible, the author walks students through the concepts, models, and computational techniques. Topics covered include developing and validating models, designing simulation experiments, and conducting analysis. http://www.crcpress.com/product/isbn/9781439835944 Print ISBN: 978-1-4398-3594-4 eBook ISBN: 978-1-4398-3595-1 June 2013, 6-1/4 x 9-1/4, 523 pp.

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Mathematics for Engineering Graduate Textbooks 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 bestselling text 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 features in the latest version of MATLAB®, with updated MATLAB code available for download on the book’s CRC Press web page. A solutions manual and figure slides are available upon qualifying course adoption. http://www.crcpress.com/product/isbn/9781439884959 Print ISBN: 978-1-4398-8495-9 eBook ISBN: 978-1-4665-9281-0 May 2013, 7 x 10, 772 pp.

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Mathematics for Engineering Section Graduate Textbooks Physical Oceanography A Mathematical Introduction with MATLAB®

Introduction to Finite and Spectral Element Methods Using MATLAB®

Reza Malek-Madani

Second Edition

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

Accessible to advanced undergraduate students, 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. Figure slides are available upon qualifying course adoption.

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. This edition includes two new chapters as well as updated proofs, derivations, schematic illustrations, and graphs.

A solutions manual and figure slides are available upon qualifying course adoption.

http://www.crcpress.com/product/isbn/9781584888307

http://www.crcpress.com/product/isbn/9781482209150

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Print ISBN: 978-1-4822-0915-0 eBook ISBN: 978-1-4822-0917-4 June 2014, 6-1/8 x 9-1/4, 830 pp.

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Optimal Estimation of Dynamic Systems Second Edition

Mathematical & Systems Biology Systems Biology

John L. Crassidis State University of New York-Buffalo, USA

John L. Junkins

Mathematical Modeling and Model Analysis

Texas A&M University, College Station, USA

Andreas Kremling

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

Technical University Munich, Germany

An ideal self-study guide for senior undergraduate and beginning graduate students, this book highlights the importance of both physical and numerical modeling in solving dynamics-based 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.

This text presents many methods for modeling and analyzing biological systems, in particular cellular systems.

It shows how to use predictive mathematical models to acquire and analyze knowledge about cellular systems. It also explores how the models are systematically applied in biotechnology. The book includes many analytical and numerical examples as well as exercises and a bibliography at the end of each chapter. MATLAB® code is available on the book’s CRC Press web page.

A solutions manual and figure slides are available upon qualifying course adoption.

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Print ISBN: 978-1-4398-3985-0 eBook ISBN: 978-1-4398-3986-7 October 2011, 6-1/4 x 9-1/4, 749 pp.

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Suggested Price: $83.95 / £52.99

Introduction to MATLAB with Applications for Chemical and Mechanical Engineers

The Dynamics of Discrete Populations and Series of Events

Series: Chapman & Hall/CRC Mathematical and Computational Biology

Daniel G. Coronell

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

Rose-Hulman Institute of Technology, Indiana, USA

Series: Graduate Student Series in Physics

This book presents applications from chemical engineering and biotechnology, such as thermodynamics, heat transfer, fluid mechanics, and mass transfer. It covers input, output, and storage of data as well as data analysis and parameter estimation, including statistical analysis, curve-fitting optimization, and error analysis. Many applied case studies are included from the engineering disciplines.

It also offers instruction on the use of the MATLAB® optimization toolbox and includes a CD of MATLAB programs. Figure slides are available upon qualifying course adoption.

The characterization of discrete phenomena requires models that go beyond those featured in existing books.

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. A solutions manual and figure slides are available upon qualifying course adoption.

http://www.crcpress.com/product/isbn/9781584885122 Print ISBN: 978-1-58488-512-2 December 2015, 6-1/8 x 9-1/4, 448 pp., Soft Cover Suggested Price: $69.95 / £44.99

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http://www.crcpress.com/product/isbn/9781420060676 Print ISBN: 978-1-4200-6067-6 eBook ISBN: 978-1-4822-2765-9 January 2014, 6-1/8 x 9-1/4, 223 pp.

Suggested Price: $79.95 / £49.99

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