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Table of Contents
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Mathematics - Undergraduate Textbooks Liberal Arts Mathematics...........................................3 Discrete Mathematics................................................3 Plane Geometry........................................................4 Transition to Advanced Mathematics.........................4 Analysis.....................................................................4 Differential Equations................................................6 Mathematical Modeling............................................7 Numerical Analysis & Numerical Methods.................8 Abstract Algebra .......................................................8 Probability & Statistics - Undergraduate Textbooks Probability / Probability & Statistics for Engineers / Stochastic Processes / Monte Carlo Methods..........9 Probability & Statistics - Undergraduate / Graduate Textbooks Statistics for Social & Behavioral Sciences................10 Mathematics - Undergraduate Textbooks Number Theory.......................................................10 Cryptology/Cryptography.......................................10 Linear Algebra ........................................................10 Logic.......................................................................11 Topology.................................................................11 Optimization...........................................................11 Graph Theory .........................................................11 Introduction to Mathematical Finance.....................11 Game Theory..........................................................12 General Interest.......................................................12 Mathematics Elective & Graduate Textbooks................................13 Operations Research, Financial Mathematics, & Business Management Graduate Textbooks................................................14 Mathematics for Computer Science Undergraduate Textbooks.......................................15 Mathematics for Engineering Graduate Textbooks................................................15 Mathematical and Systems Biology.........................16
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CTP16
Mathematics - Undergraduate Textbooks / Discrete Mathematics Mathematics - Undergraduate Textbooks – Liberal Arts Mathematics Liberal Arts Mathematics / Discrete 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
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 criticalthinking 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 eBook ISBN: 978-1-4987-2370-1 December 2014, 7 x 10, 605 pp. Suggested Price: $99.99 / £63.99
Mathematics for the Liberal Arts Jason I. Brown Dalhousie University, Halifax, 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. The text develops a logical, real-world approach to data and reasoning. Reallife 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
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. It shows how number theory and geometry are essential components to understanding mathematics. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventhto-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. 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: $76.95 / £48.99
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. 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
Discrete Mathematics with Ducks sarah-marie belcastro Smith College, Northampton, Massachusetts, USA
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. 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
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. 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
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Mathematics - Undergraduate Textbooks Plane Geometry / Transition to Advanced Mathematics / Analysis Transformational Plane Geometry Ronald N. Umble and Zhigang Han
Understanding Mathematical Proof
Series: Textbooks in Mathematics
John Taylor
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.
University of Brighton, UK
Rowan Garnier Surrey, 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: 978-1-4822-3471-8 eBook ISBN: 978-1-4987-2371-8 December 2014, 6-1/8 x 9-1/4, 234 pp. Suggested Price: $69.95 / £44.99
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
Elements of Advanced Mathematics
Introduction to Mathematical Proofs
Third Edition Steven G. Krantz
A Transition to Advanced Mathematics, Second Edition
Washington University, St. Louis, Missouri, USA
Charles E. Roberts, Jr.
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.
Indiana State University, Terre Haute, USA
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
Series: 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, instructor’s manual, and figure slides are available upon qualifying course adoption. 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
Foundations of Analysis
A Minimal Introduction
Steven G. Krantz
Alexandru Buium University of New Mexico, Albuquerque, USA
Bridging the gap between procedural mathematics that emphasizes calculations and conceptual mathematics that focuses on ideas, this text presents an undergraduate-level introduction to pure mathematics and basic concepts of logic. The author builds logic and mathematics from scratch using essentially no background except natural language. He also carefully avoids circularities that are often encountered in related books and places special emphasis on separating the language of mathematics from metalanguage and eliminating semantics from set theory. A solutions manual, 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
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Washington University, St. Louis, Missouri, USA
In a straightforward and concise way, this text 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, instructor’s manual, and figure slides are available upon qualifying course adoption. 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
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Mathematics - Undergraduate Textbooks Analysis A Course in Real Analysis
Advanced Calculus
Hugo D. Junghenn
Theory and Practice
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. 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 twosemester 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. 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
John Srdjan Petrovic Western Michigan University, Kalamazoo, USA Series: Textbooks in Mathematics
This text expands on the material covered in elementary calculus and presents this material in a rigorous manner yet makes the ideas less abstract to students. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. Nearly 300 examples lead to important theorems as well as help students develop the necessary skills to closely examine the theorems. 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: $104.95 / £66.99
Real Analysis and Foundations
Improper Riemann Integrals
Third Edition
Ioannis M. Roussos Hamline University, Saint Paul, Minnesota, USA
Steven G. Krantz Washington University, St. Louis, Missouri, USA Series: 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. 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
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: $104.95 / £65.99
Measure and Integral
A Basic Course in Real Analysis
An Introduction to Real Analysis, Second Edition
Ajit Kumar
Richard L. Wheeden Rutgers University, New Brunswick, New Jersey, USA
Antoni Zygmund Series: 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 a new generation of students, instructors, and mathematicians. Figure slides are available upon qualifying course adoption. Print ISBN: 978-1-4987-0289-8 May 2015, 6-1/8 x 9-1/4, 536 pp. Suggested Price: $89.95 / £57.99
Institute of Chemical Technology, Mumbai, India
S. Kumaresan University of Hyderabad, India
Students often find it difficult to learn the essence of analysis on their own or after going through a course on real analysis. Written in a conversational tone, this text explains the hows and whys of real analysis and provides guidance that makes students think at every stage. It offers insight into how a typical mathematician works—observing patterns, conducting experiments, looking at or creating examples, understanding underlying principles, coming up with guesses or conjectures, and rigorously proving them. 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
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Mathematics - Undergraduate Textbooks Differential Equations Differential Equations Theory, Technique, and Practice, Second Edition
Differential Equations with Applications and Historical Notes
Steven G. Krantz
Third Edition
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. 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
George F. Simmons Series: 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 September 2015, 6-1/8 x 9-1/4, 664 pp. Suggested Price: $99.95 / £63.99
An Introduction
An Introduction to Partial Differential Equations with MATLAB®
Vladimir A. Dobrushkin
Second Edition
Applied Differential Equations Brown University, Providence, Rhode Island, USA Series: Textbooks in Mathematics
Fairfield University, Connecticut, USA
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. 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
A Course in Ordinary Differential Equations Second Edition Stephen A. Wirkus Arizona State University, Glendale, USA
Randall J. Swift California 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 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. 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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Matthew P. Coleman Series: 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. 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 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. 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
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Mathematics - Undergraduate Textbooks Differential Equations / Mathematical Modeling Computational Partial Differential Equations Using MATLAB® Jichun Li and Yi-Tung Chen University of Nevada, Las Vegas, USA Series: Chapman & Hall/CRC Applied Mathematics and Nonlinear Science
This text covers the classic finite difference method and the finite element method as well as 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 provide 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. Print ISBN: 978-1-4200-8904-2 eBook ISBN: 978-1-4200-8905-9 October 2008, 6-1/4 x 9-1/4, 384 pp. Suggested Price: $115.95 / £73.99
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. Figure slides are available upon qualifying course adoption. 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
Textbook
Differential Equations with MATLAB® Exploration, Applications, and Theory Mark A. McKibben West Chester University, Pennsylvania, USA
Micah D. Webster Goucher College, Baltimore, Maryland, USA Series: 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
Mathematical Modelling with Case Studies Using Maple™ and MATLAB®, Third Edition B. Barnes Australian National University, Canberra
G.R. Fulford University of Technology, Brisbane, Australia Series: 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 eBook ISBN: 978-1-4987-2374-9 December 2014, 7 x 10, 388 pp. Suggested Price: $89.95 / £39.99
Ordinary and Partial Differential Equations
Introduction to Mathematical Modeling and Chaotic Dynamics
Victor Henner, Tatyana Belozerova, and Mikhail Khenner
Ranjit Kumar Upadhyay
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 / £59.99
Indian School of Mines, Dhanbad
Satteluri R.K. Iyengar Gokaraju Rangaraju Institute of Engineering & Technology, Hyderabad, India
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. 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. Suggested Price: $94.95 / £59.99
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Mathematics - Undergraduate Textbooks Numerical Analysis & Numerical Methods / Abstract Algebra Mathematical Modeling Models, Analysis and Applications
Introduction to Numerical Analysis and Scientific Computing
Sandip Banerjee
Nabil Nassif and Dolly Khuwayri Fayyad
Indian Institute of Technology, Roorkee
American University of Beirut, Lebanon
This how-to guide presents tools for mathematical modeling and analysis. It offers a wide-ranging overview of mathematical ideas and techniques that provide a number of effective approaches to problem solving. The 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.
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: 978-1-4398-5451-8 eBook ISBN: 978-1-4398-5452-5 February 2014, 6-1/8 x 9-1/4, 276 pp. Suggested Price: $89.95 / £57.99
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: $94.95 / £59.99
Classical and Modern Numerical Analysis
Numerical Methods and Optimization
Theory, Methods, and Practice
An Introduction
Azmy S. Ackleh, Edward James Allen, Ralph Baker Kearfott, and Padmanabhan Seshaiyer
Sergiy Butenko
Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing
Panos M. Pardalos
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. A solutions manual is available upon qualifying course adoption.
Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing
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: $125.95 / £79.99
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
Numerical Analysis for Engineers
Abstract Algebra
Methods and Applications, Second Edition
An Inquiry-Based Approach
Bilal Ayyub and Richard H. McCuen
Texas A&M University, College Station, USA University of Florida, Gainesville, USA
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.
Jonathan K. Hodge, Steven Schlicker, and Ted Sundstrom
University of Maryland, College Park, USA
Grand Valley State University, Allendale, Michigan, USA
Series: Textbooks in Mathematics
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.
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: 978-1-4822-5035-0 September 2015, 7-1/2 x 9-1/4, 450 pp. Suggested Price: $99.95 / £63.99
Print ISBN: 978-1-4665-6706-1 eBook ISBN: 978-1-4822-2194-7 December 2013, 7 x 10, 595 pp. Suggested Price: $99.95 / £49.99
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Mathematics / Probability & Statistics - Undergraduate Textbooks Abstract Algebra /Probability/ Stochastic Processes / Monte Carlo Methods A First Course in Abstract Algebra Rings, Groups, and Fields, Third Edition
Monte Carlo Simulation with Applications to Finance
Marlow Anderson
Hui Wang
Colorado College, Colorado Springs, USA
Brown University, Providence, Rhode Island, USA
Todd Feil
Series: Chapman & Hall/CRC Financial Mathematics
Denison University, Granville, Ohio, USA
This text develops ring theory first by drawing on students’ familiarity with integers and polynomials. 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 and figure slides are available upon qualifying course adoption.
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: 978-1-4822-4552-3 eBook ISBN: 978-1-4822-4554-7 November 2014, 7 x 10, 552 pp., Pack - Book and Ebook Suggested Price: $89.95 / £57.99
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: $87.95 / £55.99
Introduction to Probability
Markov Processes
Joseph K. Blitzstein
James R. Kirkwood
Harvard University, Cambridge, Massachusetts, USA
Series: Advances in Applied Mathematics
Jessica Hwang Stanford University, California, USA Series: Chapman & Hall/CRC Texts in Statistical Science
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, instructor’s manual, and figure slides are available upon qualifying course adoption.
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. Print ISBN: 978-1-4822-4073-3 February 2015, 6-1/8 x 9-1/4, 340 pp. Suggested Price: $79.95 / £49.99
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
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. 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: $99.95 / £46.99
Probability and Stochastic Modeling 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 martingales, classification of dependency structures, risk evaluation, and more. 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. Print ISBN: 978-1-4398-7206-2 August 2012, 7 x 10, 508 pp. Suggested Price: $87.95 / £55.99
For more information and complete contents, visit www.crctextbooks.com
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Probability & Statistics Undergraduate / Graduate Textbooks
Mathematics Undergraduate Textbooks
Statistics for Social & Behavioral Sciences
Cryptology / Cryptography Cryptology
Applied Stochastic Processes
Classical and Modern with Maplets
Ming Liao
Richard E. Klima
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. 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
Appalachian State University, Boone, North Carolina, USA
Neil P. Sigmon Radford University, Virginia, USA Series: Discrete Mathematics and Its Applications
Written 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. A solutions manual and figure slides are available upon qualifying course adoption. 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
Number Theory
University of Maryland, College Park, USA
Yehuda Lindell Bar-Ilan University, Ramat Gan, Israel
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. The “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, 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: $94.95 / £59.95
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 second edition offers an 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. Print ISBN: 978-1-4665-7026-9 eBook ISBN: 978-1-4665-7028-3 November 2014, 6-1/8 x 9-1/4, 603 pp. Suggested Price: $79.95 / £40.99
Mathematics Undergraduate Textbooks Linear Algebra
Elementary Number Theory
Exploring Linear Algebra
James S. Kraft
Labs and Projects with Mathematica®
Gilman School, Baltimore, Maryland, USA
Lawrence C. Washington University of Maryland, College Park, USA
Crista Arangala Elon University, North Carolina, USA Series: Textbooks in Mathematics
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.
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.
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
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
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Mathematics - Undergraduate Textbooks Logic / Topology / Optimization / Graph Theory / Introduction to Mathematical Finance 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. 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
A First Course in Optimization Charles L. Byrne University of Massachusetts Lowell, USA
This text is designed for 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
Introduction to Mathematical Logic
Graphs & Digraphs
Sixth Edition
Gary Chartrand, Linda Lesniak, and Ping Zhang
Elliott Mendelson Queens College, Flushing, New York, USA Series: 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. Print ISBN: 978-1-4822-3772-6 May 2015, 6-1/8 x 9-1/4, 516 pp. Suggested Price: $89.95 / £57.95
An Illustrated Introduction to Topology and Homotopy Sasho Kalajdzievski
Fifth Edition Western Michigan University, Kalamazoo, USA Series: Textbooks in Mathematics
This student-friendly 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. 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
Quantitative Finance A Simulation-Based Introduction Using Excel
University of Manitoba, Winnipeg, Canada
Matt Davison
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. A solutions manual is available upon qualifying course adoption.
University of Western Ontario, London, Canada
Print ISBN: 978-1-4398-4815-9 March 2015, 7 x 10, 482 pp. Suggested Price: $89.95 / £57.99
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 from simple bond portfolios. 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
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Mathematics - Undergraduate Textbooks Introduction to Mathematical Finance / Game Theory / General Interest Actuarial Models
Basic Gambling Mathematics
The Mathematics of Insurance, Second Edition
The Numbers Behind The Neon
Vladimir I. Rotar
Albion College, Michigan, USA
San Diego State University, California, USA
This book explains the mathematics involved in analyzing games of chance, including casino games, horse racing, and lotteries. It helps students understand the mathematical reasons why some gambling games are better for the player than others. 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 casinorelated computations. A solutions manual and figure slides are available upon qualifying course adoption.
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; includes a new chapter on pension models; and incorporates 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
Mark Bollman
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
The Mathematics of Games
Math and Art
An Introduction to Probability
An Introduction to Visual Mathematics
David G. Taylor
Sasho Kalajdzievski
Roanoke College, Salem, Virginia, USA
University of Manitoba, Winnipeg, Canada
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, studentfriendly 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.
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. Each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology.
Print ISBN: 978-1-4822-3543-2 eBook ISBN: 978-1-4987-2373-2 December 2014, 6-1/8 x 9-1/4, 426 pp. Suggested Price: $69.95 / £44.99
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
Galois Theory
A Mathematical Look at Politics
Fourth Edition
E. Arthur Robinson, Jr. and Daniel H. Ullman The George Washington University, Washington, D.C., USA
Ian Nicholas Stewart The fourth edition of this bestseller 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. 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
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This textbook is based on a popular mathematics and politics course that the authors have taught at George Washington University. 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. 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
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Mathematics - Undergraduate Textbooks General Interest / Mathematics - Elective & Graduate Textbooks Integral Transforms and Their Applications Third Edition
Computational Number Theory Abhijit Das Indian Institute of Technology, Kharagpur Series: Discrete Mathematics and Its Applications
Lokenath Debnath and Dambaru Bhatta The 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 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. Print ISBN: 978-1-4822-2357-6 November 2014, 6-1/8 x 9-1/4, 818 pp. Suggested Price: $119.95 / £76.99
Mathematics and Music Composition, Perception, and Performance James S. Walker and Gary W. Don University of Wisconsin, Eau Claire, USA
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. 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. Print ISBN: 978-1-4398-6615-3 eBook ISBN: 978-1-4398-6618-4 March 2013, 6-1/8 x 9-1/4, 614 pp. Suggested Price: $94.95 / £59.99
Encounters with Chaos and Fractals Second Edition Denny Gulick 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. 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.
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.
Print ISBN: 978-1-4398-6709-9 eBook ISBN: 978-1-4398-6710-5 April 2013, 7 x 10, 342 pp., Soft Cover Suggested Price: $62.95 / £39.99
Print ISBN: 978-1-58488-517-7 eBook ISBN: 978-1-4200-1060-2 April 2012, 7 x 10, 387 pp. Suggested Price: $87.95 / £55.99
Basic Algebraic Topology
Mathematics for the Environment
Anant R. Shastri
Martin Walter
Indian Institute of Technology Bombay, Mumbai, Maharastra
University of Colorado, Boulder, USA
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 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.
A truly interdisciplinary, concrete study of mathematics, 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.
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
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. Suggested Price: $99.95 / £63.99
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Mathematics Elective & Graduate Textbooks
Operations Research, Financial Mathematics, & Business Management Graduate Textbooks
Elements of Topology Tej Bahadur Singh University of Delhi, India
This text provides a basic introduction to point-set topology and algebraic topology. 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-ofsection exercises to put the material into context. A solutions manual and figure slides are available upon qualifying course adoption. 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. Suggested Price: $104.95 / £66.99
Operations Research, Financial Mathematics, & Business Management
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 for parameter estimation. Figure slides are available upon qualifying course adoption. 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
Graduate Textbooks Business Process Modeling, Simulation and Design Second Edition
Quantitative Finance An Object-Oriented Approach in C++ Erik Schlogl University of Technology, Sydney, Australia Series: Chapman & Hall/CRC Financial Mathematics
Manuel Laguna University of Colorado, Boulder, USA
Johan Marklund Lund University, Sweden
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.
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. Figure slides are available upon qualifying course adoption. 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
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
Financial Mathematics
Kenneth Chelst
Giuseppe Campolieti and Roman N. Makarov
Wayne State University, Detroit, Michigan, USA
Yavuz Burak Canbolat
Wilfrid Laurier University, Waterloo, Ontario, Canada Series: Chapman & Hall/CRC Financial Mathematics
Abbott Laboratories, Abbott Park, Illinois, USA
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. They also discuss bias, negotiations, project/risk management, and ethical dilemmas. Numerous examples highlight real-world 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. 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
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A Comprehensive Treatment
This text provides a unified, self-contained 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. Print ISBN: 978-1-4398-9242-8 eBook ISBN: 978-1-4398-9243-5 March 2014, 7 x 10, 829 pp. Suggested Price: $89.95 / £57.99
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Operations Research, Financial Mathematics, & Business Management
Mathematics for Engineering Graduate Textbooks
Graduate Textbooks Risk Management and Simulation Aparna Gupta
Radar Systems Analysis and Design Using MATLAB® Third Edition
Rensselaer Polytechnic Institute, Troy, New York, USA
Bassem R. Mahafza
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.
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 the new features in 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.
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. Suggested Price: $104.95 / £65.99
deciBel Research Inc., Huntsville, Alabama, USA
Print ISBN: 978-1-4398-8495-9 eBook ISBN: 978-1-4665-9281-0 May 2013, 7 x 10, 772 pp. Suggested Price: $132.95 / £85.00
Pricing in General Insurance Pietro Parodi Swiss Re, London, UK
This book 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. 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
Physical Oceanography A Mathematical Introduction with MATLAB® Reza Malek-Madani U.S. Naval Academy, Annapolis, Maryland, USA
This text demonstrates how to use the basic tenets of multivariate calculus to derive the governing equations of fluid dynamics in a rotating frame. It also explains how to use linear algebra and PDEs to solve basic initial-boundary value problems that have become the hallmark of physical oceanography. The book includes chapter projects that incorporate MATLAB® programming and makes the most of MATLAB’s matrix algebraic functions, differential equation solvers, and visualization capabilities. Figure slides are available upon qualifying course adoption. Print ISBN: 978-1-58488-830-7 eBook ISBN: 978-1-58488-831-4 April 2012, 6-1/8 x 9-1/4, 456 pp. Suggested Price: $87.95 / £55.99
A Geometry Toolbox, Third Edition
Optimal Estimation of Dynamic Systems
Gerald Farin
Second Edition
Arizona State University, Tempe, USA
Dianne Hansford FarinHansford R&D, Paradise Valley, Arizona, USA
Through many examples and real-world applications, this text teaches 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 test bank are available upon qualifying course adoption. Print ISBN: 978-1-4665-7956-9 eBook ISBN: 978-1-4665-7959-0 August 2013, 7-1/2 x 9-1/4, 514 pp. Suggested Price: $89.95 / £57.99
John L. Crassidis State University of New York-Buffalo, USA
John L. Junkins Texas A&M University, College Station, USA Series: Chapman & Hall/CRC Applied Mathematics and Nonlinear Science
This guide 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. 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. Suggested Price: $154.95 / £99.00
For more information and complete contents, visit www.crctextbooks.com
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Mathematics for Engineering Graduate Textbooks / Mathematical and Systems Biology Introduction to MATLAB with Applications for Chemical and Mechanical Engineers Daniel G. Coronell
The Dynamics of Discrete Populations and Series of Events Keith Iain Hopcraft, Eric Jakeman, and Kevin D. Ridley
Rose-Hulman Institute of Technology, Indiana, USA
Series: Graduate Student Series in Physics
This book covers applications from chemical engineering and biotechnology, such as thermodynamics, heat transfer, fluid mechanics, and mass transfer. It features a section on input, output, and storage of data as well as a section on data analysis and parameter estimation that contains statistical analysis, curve fitting optimization, and error analysis. The book provides many applied case studies from engineering disciplines, offers instruction on the use of the MATLAB® optimization toolbox, and includes a CD-ROM 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.
Print ISBN: 978-1-58488-512-2 October 2015, 6-1/8 x 9-1/4, 448 pp., Soft Cover Suggested Price: $69.95 / £44.99
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
Introduction to Finite and Spectral Element Methods Using MATLAB® Second Edition C. Pozrikidis University of Massachusetts, Amherst, USA
This self-contained book enables students to quickly understand the theoretical foundation and practical implementation of the finite element method and its companion spectral element method. Students gain hands-on computational experience by using the free online FSELIB library of MATLAB® functions and codes. Along with updated software and additional solved problems, this edition includes two new chapters as well as updated proofs, derivations, schematic illustrations, and graphs. A solutions manual and figure slides are available upon qualifying course adoption. 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. Suggested Price: $139.95 / £89.00
Systems Biology Mathematical Modeling and Model Analysis Andreas Kremling Technical University Munich, Germany Series: Chapman & Hall/CRC Mathematical and Computational Biology
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. Print ISBN: 978-1-4665-6789-4 eBook ISBN: 978-1-4665-6807-5 November 2013, 6-1/8 x 9-1/4, 379 pp. Suggested Price: $83.95 / £52.99
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