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Table of ContentsMATHEMATICS UNDERGRADUATE TEXTBOOKS

Liberal Arts Mathematics .........................................3

Discrete Mathematics ...............................................3

Plane Geometry........................................................4

Transition to Advanced Mathematics ........................4

Analysis ....................................................................5

Differential Equations ...............................................6

Mathematical Modeling ...........................................7

Numerical Analysis & Numerical Methods ................8

Abstract Algebra .......................................................9

PROBABILITY & STATISTICS UNDERGRADUATE TEXTBOOKS

Probability/Probability & Statistics for Engineers/ Stochastic Processes/Monte Carlo Methods ..............9

GRADUATE TEXTBOOKS

Statistics for Social & Behavioral Sciences ...............10

MATHEMATICS UNDERGRADUATE TEXTBOOKS

Number Theory .....................................................10

Cryptology/Cryptography ......................................10

Linear Algebra ........................................................11

Logic ......................................................................11

Topology ................................................................11

Optimization ..........................................................11

Graph Theory .........................................................11

Introduction to Mathematical Finance ....................12

Game Theory .........................................................12

General Interest ......................................................12

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Mathematics – Undergraduate Textbooks

Liberal Arts Mathematics

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

With exercises and research problems, this text highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics and explains how discrete structures have important applications in many areas inside and outside of combinatorics. The author discusses how to recognize valuable research connections through the structures. A solutions manual and figure slides are available upon qualifying course adoption.

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: $79.95 / £49.99

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

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


Mathematics - Undergraduate Textbooks - Discrete Mathematics

Project OrigamiActivities for Exploring Mathematics, Second EditionThomas Hull

This classroom-tested text presents a flexible, discovery-based approach to learning origami-math topics. It helps readers 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.

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: $52.95 / £33.99

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

Through a careful treatment of number theory and geometry, this text helps students understand serious mathematical ideas and proofs. It shows how number theory and geometry are essential components to understanding mathematics. 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.

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: $73.95 / £46.99

Mathematics for the Liberal ArtsJason I. BrownDalhousie University, Halifax, Nova Scotia, Canada

This textbook teaches everyday mathematics topics to non-math majors. 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.

Print ISBN: 978-1-4665-9336-7 December 2014, 7 x 10, 440 pp., Pack - Book and Ebook Suggested Price: $89.95 / £57.99

Puzzles, Paradoxes, and Problem SolvingAn Introduction to Mathematical ThinkingMarilyn A. Reba and Douglas R. ShierClemson University, South Carolina, USA

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 covers graphs, logic, probability, voting, and cryptography. It 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.

Print ISBN: 978-1-4822-2753-6 December 2014, 7 x 10, 605 pp. Suggested Price: $99.99 / £63.99

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Foundations of AnalysisSteven G. KrantzWashington University, St. Louis, Missouri, USA

This textbook covers the basics of real analysis for a one- or two-semester course. It helps students understand the key ideas and apply the theorems in a straightforward and concise way. Each section begins with a boxed introduction that familiarizes students with the upcoming topics. Each chapter generally contains at least 50 exercises that build in difficulty, with an exercise set at the end of every section. A solutions manual, an instructor’s manual, and figure slides are available upon qualifying course adoption.


Introduction to Mathematical ProofsA Transition to Advanced Mathematics, Second EditionCharles RobertsIndiana State University, Terre Haute, USASeries: Textbooks in 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.

Print ISBN: 978-1-4822-4687-2 December 2014, 6-1/8 x 9-1/4, 414 pp. Suggested Price: $89.95 / £57.99

Understanding Mathematical ProofJohn TaylorUniversity of Brighton, UK

Rowan GarnierSurrey, UK

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.

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

MathematicsA Minimal IntroductionAlexandru BuiumUniversity 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 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.

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

Elements of Advanced MathematicsThird EditionSteven G. KrantzWashington University, St. Louis, Missouri, USA

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 is available upon qualifying course adoption.

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: $93.95 / £46.99

Transformational Plane GeometryRonald N. Umble and Zhigang HanSeries: Textbooks in Mathematics

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.



Plane Geometry / Transition to Advanced Mathematics / Analysis








A Basic Course in Real AnalysisAjit KumarInstitute of Chemical Technology, Mumbai, India

S. KumaresanUniversity of Hyderabad, India

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.

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

Improper Riemann IntegralsIoannis M. RoussosHamline 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.

Print ISBN: 978-1-4665-8807-3 eBook ISBN: 978-1-4665-8808-0 December 2013, 6 x 9, 689 pp. Suggested Price: $99.95 / £63.99

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

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

Print ISBN: 978-1-4665-6563-0 eBook ISBN: 978-1-4665-6567-8 November 2013, 7 x 10, 572 pp. Suggested Price: $99.95 / £63.99

Measure and IntegralAn Introduction to Real Analysis, Second EditionRichard L. WheedenRutgers University, New Brunswick, New Jersey, USASeries: Chapman & Hall/CRC Pure and Applied Mathematics

This classic 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 upper-division undergraduate and first-year graduate students in mathematics, statistics and probability, and engineering. Figure slides are available upon qualifying course adoption.

Print ISBN: 978-1-4987-0289-8 January 2015, 6-1/8 x 9-1/4, 538 pp. Suggested Price: $89.95 / £57.99

Real Analysis and FoundationsThird EditionSteven G. KrantzWashington University, St. Louis, Missouri, USASeries: Textbooks in Mathematics

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.


A Course in Real AnalysisHugo D. JunghennThe George Washington University, Washington, D.C., USA

This book covers real analysis courses for advanced undergraduate students in mathematics, economics, statistics, finance, engineering, and physics. It is also suitable for graduate students who have not had such a course during their undergraduate years. The book contains sufficient material for one- or two-semester courses and includes many exercises of varying difficulty. The standard three-semester sequence in calculus is the only prerequisite. A solutions manual and figure slides are available upon qualifying course adoption.

Print ISBN: 978-1-4822-1927-2 February 2015, 6-1/8 x 9-1/4, 599 pp., Pack - Book and Ebook Suggested Price: $79.95 / £49.99


Analysis







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Introduction to Partial Differential Equations for Scientists and Engineers Using MathematicaKuzman AdzievskiSouth Carolina State University, Orangeburg, USA

Abul Hasan SiddiqiSharda University, Greater Noida, India

With a special emphasis on engineering and science applications, this textbook 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. Topics discussed include Laplace and Fourier transforms as well as Sturm–Liouville boundary-value problems. A solutions manual and figure slides are available upon qualifying course adoption.


An Introduction to Partial Differential Equations with MATLAB®

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

Updated throughout, this second edition of a bestseller 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 the quantum mechanical behavior of a hydrogen atom. 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.


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

Written by a highly respected educator, this third edition updates the classic text designed for a first course in differential equations. With an emphasis on modeling, this edition presents a new section on Gauss’s bell curve and improved sections on Fourier analysis, numerical methods, and linear algebra. The text includes unique examples and exercises as well as interesting historical notes throughout. A solutions manual and figure slides are available upon qualifying course adoption.

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

A Course in Ordinary Differential EquationsSecond EditionStephen A. WirkusArizona State University, Glendale, USA

Randall J. SwiftCalifornia State Polytechnic University, Pomona, USA

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 and covers linear systems in their entirety before addressing applications to nonlinear systems. A solutions manual and figure slides are available upon qualifying course adoption.


Applied Differential EquationsAn IntroductionVladimir A. DobrushkinVisiting Professor in the Center for Fluid Mechanics—Applied Mathematics Department at Brown University, Providence, Rhode Island, USASeries: Textbooks in Mathematics

Designed for a two-semester 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.


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

Print ISBN: 978-1-4822-4702-2 November 2014, 6-1/8 x 9-1/4, 557 pp. Suggested Price: $99.95 / £57.99


Differential Equations








Deterministic and Stochastic Methods in Population ModelingRandall J. SwiftCalifornia State Polytechnic University, Pomona, USA

This self-contained book fully develops the mathematical methods and techniques used in population modeling. It first examines deterministic models and then uses them as a foundation for the formulation of the stochastic models. In three distinct parts, the book covers the modeling of single populations and applications, develops models for multiple and large populations with applications, and explores recent applications of the methods. The author includes MATLAB® and Mathematica® for many simulations and for solving difficult problems. Figure slides are available upon qualifying course adoption.

Print ISBN: 978-1-4200-6645-6 May 2015, 6-1/8 x 9-1/4, 480 pp. Suggested Price: $89.95 / £57.99

Mathematical Modelling with Case StudiesUsing Maple™ and MATLAB®, Third EditionB. BarnesAustralian National University, Canberra, Australia

G.R. FulfordUniversity of Technology, Brisbane, AustraliaSeries: Textbooks in Mathematics

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.

Print ISBN: 978-1-4822-4772-5 December 2014, 7 x 10, 388 pp. Suggested Price: $89.95 / £39.99

Differential Equations with MATLAB®

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

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

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.

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

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

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

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 / £54.95

Partial Differential EquationsTopics in Fourier AnalysisM.W. WongYork 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. 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.


Computational Partial Differential Equations Using MATLAB®

Jichun Li and Yi-Tung ChenUniversity of Nevada, Las Vegas, USASeries: Chapman & Hall/CRC Applied Mathematics and Nonlinear Science

This text covers the classic finite difference method, the finite element method, and numerical methods 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 offer 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.



Differential Equations / Mathematical Modeling







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Numerical Methods and OptimizationAn IntroductionSergiy ButenkoTexas A&M University, College Station, USA

Panos M. PardalosUniversity of Florida, Gainesville, USASeries: Chapman & Hall/CRC Numerical Analysis and Scientific Computing

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. In most cases, the authors use only examples to illustrate the concepts. A MATLAB® guide and code are available for download. A solutions manual and figure slides are available upon qualifying course adoption.

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. Suggested Price: $79.95 / £49.99

Introduction to Numerical Analysis and Scientific ComputingNabil Nassif and Dolly Khuwayri FayyadAmerican University of Beirut, Lebanon

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.

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. Suggested Price: $89.95 / £57.99

Numerical Analysis for EngineersMethods and Applications, Second EditionBilal Ayyub and Richard H. McCuenUniversity of Maryland, College Park, USASeries: 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.


Classical and Modern Numerical AnalysisTheory, Methods, and PracticeAzmy S. Ackleh, Edward James Allen, Ralph Baker Kearfott, and Padmanabhan SeshaiyerSeries: 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.

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. Suggested Price: $119.95 / £77.99

Mathematical ModelingModels, Analysis and ApplicationsSandip BanerjeeIndian Institute of Technology, Roorkee

This how-to guide presents tools for mathematical modeling and analysis. It offers a wide-ranging overview of mathematical ideas and techniques that provide a number of effective approaches to problem solving. Topics covered include spatial and stochastic modeling. The text provides real-life examples of discrete and continuous mathematical modeling scenarios and includes exercises in each chapter. MATLAB®, Mathematica®, and MatCont are incorporated throughout the text. A solutions manual and figure slides are available upon qualifying course adoption.

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

Introduction to Mathematical Modeling and Chaotic DynamicsRanjit Kumar UpadhyayIndian School of Mines, Dhanbad

Satteluri R.K. IyengarGokaraju 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.



Mathematical Modeling / Numerical Analysis & Numerical Methods








Markov ProcessesJames R. KirkwoodSeries: 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. A solutions manual is available upon qualifying course adoption.

Print ISBN: 978-1-4822-4073-3 February 2015, 6-1/8 x 9-1/4, 346 pp. Suggested Price: $79.95 / £49.99

Monte Carlo Simulation with Applications to FinanceHui WangBrown University, Providence, Rhode Island, USASeries: Chapman & Hall/CRC Financial Mathematics

This text provides a self-contained introduction to Monte Carlo methods in financial engineering. It covers common variance reduction techniques, the 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.

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. Suggested Price: $83.95 / £51.99

An Introduction to Stochastic Processes with Applications to BiologySecond EditionLinda J.S. AllenTexas 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. It also 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.

Print ISBN: 978-1-4398-1882-4 eBook ISBN: 978-1-4398-7639-8 December 2010, 6-1/4 x 9-1/4, 490 pp. Suggested Price: $98.95 / £43.99

Introduction to ProbabilityJoseph K. BlitzsteinHarvard University, Cambridge, Massachusetts, USA

Jessica HwangStanford University, California, USASeries: 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.

Print ISBN: 978-1-4665-7557-8 eBook ISBN: 978-1-4987-0478-6 July 2014, 7 x 10, 596 pp., Pack - Book and Ebook Suggested Price: $99.95 / £49.99

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

Todd FeilDenison University, Granville, Ohio, USA

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 and new chapters on Sylow theorems. A solutions manual and figure slides are available upon qualifying course adoption.

Print ISBN: 978-1-4822-4552-3 eBook ISBN: 978-1-4822-4553-0 November 2014, 7 x 10, 552 pp., Pack - Book and Ebook Suggested Price: $89.95 / £57.99

Abstract AlgebraAn Inquiry-Based ApproachJonathan K. Hodge, Steven Schlicker, and Ted SundstromGrand Valley State University, Allendale, Michigan, USASeries: 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.

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


Abstract Algebra

Probability & Statistics Undergraduate Textbooks

Probability/Probability & Statistics for Engineers/Stochastic Processes/

Monte Carlo Methods



Monte Carlo Methods







10 1-800-634-7064 • 1-859-727-5000 • +44 (0) 1235 400 524 • [email protected]

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

Yehuda LindellBar-Ilan University, Ramat Gan, IsraelSeries: 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 second edition offers improved treatment 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.


CryptologyClassical and Modern with MapletsRichard E. KlimaAppalachian State University, Boone, North Carolina, USA

Neil P. SigmonRadford University, Virginia, USASeries: Discrete Mathematics and Its Applications

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 throughout that provide practical examples of the techniques. The Maplets are available for download online. A solutions manual is available upon qualifying course adoption.


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

Lawrence C. WashingtonUniversity 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.


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

Lawrence C. WashingtonUniversity of Maryland, College Park, USA

This introduction presents number theory along with many interesting applications. Designed for an undergraduate-level course, it covers standard number theory topics and gives instructors the option of integrating several other topics into their coverage. The “Check Your Understanding” problems aid in learning the basics. The text 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.

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: $89.95 / £59.95

Applied Stochastic ProcessesMing LiaoAuburn University, Alabama, USA

This text presents a concise treatment of the subject, emphasizing applications and practical computation. It 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.


Probability and Stochastic ModelingVladimir I. RotarSan 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 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 is available upon qualifying course adoption.

Print ISBN: 978-1-4398-7206-2 August 2012, 7 x 10, 508 pp. Suggested Price: $83.95 / £51.99



Monte Carlo Methods

Mathematics - Undergraduate Textbooks

Number Theory

Probability & Statistics Undergraduate / Graduate Textbooks

Statistics for Social & Behavioral Sciences


Number Theory


Cryptology / Cryptography







Section


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

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


A First Course in OptimizationCharles L. ByrneUniversity of Massachusetts Lowell, USA

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

Print ISBN: 978-1-4822-2656-0 eBook ISBN: 978-1-4822-2659-1 August 2014, 6-1/8 x 9-1/4, 315 pp. Suggested Price: $89.95 / £57.99

An Illustrated Introduction to Topology and HomotopySasho KalajdzievskiUniversity 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.

Print ISBN: 978-1-4398-4815-9 January 2015, 7 x 10, 482 pp. Suggested Price: $89.95 / £57.99

Introduction to Mathematical LogicSixth EditionElliott MendelsonQueens College, Flushing, New York, USASeries: Discrete Mathematics and Its Applications

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.


Linear Algebra, Geometry and TransformationBruce SolomonIndiana University, Bloomington, USASeries: 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.


Exploring Linear AlgebraLabs and Projects with Mathematica®

Crista ArangalaElon University, North Carolina, USASeries: 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.

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


Linear Algebra / Logic / Topology / Optimization / Graph Theory







12 1-800-634-7064 • 1-859-727-5000 • +44 (0) 1235 400 524 • [email protected]

Integral Transforms and Their ApplicationsThird EditionLokenath Debnath and Dambaru BhattaUniversity 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. 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.


A Mathematical Look at PoliticsE. Arthur Robinson, Jr. and Daniel H. UllmanThe George Washington University, Washington, D.C., USA

Based on the authors’ popular mathematics and politics course, this text explores the mathematics of politics. It shows 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.

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: $57.95 / £36.99

Math and ArtAn Introduction to Visual MathematicsSasho KalajdzievskiUniversity 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 an accompanying CD-ROM, it includes numerous illustrations, computer-generated 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.

Print ISBN: 978-1-58488-913-7 June 2008, 6-3/4 x 9-3/4, 272 pp., Soft Cover Suggested Price: $65.95 / £37.99

Galois TheoryFourth EditionIan Nicholas Stewart

This third edition of a bestseller refines the information and provides greater clarity and motivation to learn. It includes useful theorems to make the formulas more transparent and easier to understand. It also offers a simplified proof of the fundamentals of algebra, requiring only basic real analysis. A solutions manual and figure slides are available upon qualifying course adoption.

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

The Mathematics of GamesAn Introduction to ProbabilityDavid G. TaylorRoanoke College, Salem, Virginia, USASeries: Textbooks in Mathematics

This text takes an inquiry-based approach to teaching the standard material of 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.


Actuarial ModelsThe Mathematics of Insurance, Second EditionVladimir I. RotarSan Diego State University, California, USA

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.

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

Quantitative FinanceA Simulation-Based Introduction Using ExcelMatt DavisonUniversity of Western Ontario, London, Canada

Accessible to students with a relatively modest level of mathematical background, this book guides them in becoming successful quants. The text 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. A solutions manual and figure slides are available upon qualifying course adoption.

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. Suggested Price: $79.95 / £49.99

SectionMathematics – Undergraduate Textbooks

Introduction to Mathematical Finance / Game Theory / General Interest








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