Jones & Bartlett Learning 2013 Mathematics Catalog by Jones & Bartlett Learning

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MATHEMATICS ACADEMIC CATALOG 2013

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QUALITY CONTENT Jones & Bartlett Learningâ&#x20AC;&#x2122;s quality content empowers educators to enhance educational standards and improve learning outcomes with our growing list of texts and digital resources.

New & Forthcoming Titles Advanced Engineering Mathematics, Fifth Edition

Linear Algebra with Applications, Eighth Edition & Alternate Eighth Edition

Brief Calculus for the Business, Social, and Life Sciences, Third Edition

Finite Mathematics, Second Edition

Essentials of Mathematical Statistics

Table of Contents The Jones & Bartlett Learning Difference Custom Solutions

Student & Educator Resources

Superior Customer Service

Engineering Mathematics Linear Algebra Algebra & Trigonometry

7 8-9 10

Precalculus 11-12 Calculus 13-14 Discrete Mathematics

Complex Analysis

Advanced Mathematics

17-20

Geometry 21

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STUDENT & EDUCATOR RESOURCES Student Resources:

Jones & Bartlett Learning and WebAssign

CW = Companion Website

Working Together to Provide the Latest in

SG = Student Study Guide

Online Learning and Assessment

SM = Solutions Manual SR = Student Resource Manual

WebAssign is the leading provider of

WA = WebAssign

powerful online instructional tools for faculty and students. In brief, instructors create

Instructor Resources:

assignments online within WebAssign

IB = Image Bank

and electronically transmit them to their

IM = Instructorâ&#x20AC;&#x2122;s Manual

class. Students enter their answers online,

PP = PowerPoint Lecture Oulines

and WebAssign automatically grades the

SM = Solutions Manual

assignment and gives students instant

TB = Test Bank

feedback on their performance.

WA = WebAssign Much more than just a homework grading system, WebAssign delivers secure online testing, customizable precoded questions from a wide range of our math textbooks, and unparalleled customer service.

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ENGINEERING MATHEMATICS

Advanced Engineering Mathematics Fifth Edition

Dennis G. Zill, Loyola Marymount University Warren S. Wright, Loyola Marymount University Modern and comprehensive, the new Fifth Edition of Zill’s Advanced Engineering Mathematics, provides an in-depth overview of the many mathematical topics required for students planning a career in engineering or the sciences. A key strength of this bestselling text is Zill’s emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Fifth Edition offers a full compendium of topics, yet is extremely flexible to meet the unique needs of various course offerings, ranging from ordinary differential equations to vector calculus. Advanced Engineering Mathematics, Fifth Edition is the most comprehensive and flexible text of its kind and is a superb reference for students at all stages of their academic careers.

Key Features • Available with WebAssign with the full, integrated eBook • Offers two new chapters (Probability and Statistics), available for download online, to provide additional flexibility in varying course offerings • Reorganized to include projects within the appropriate chapters, adding clarity to course material and content • Contains new and updated content throughout with new discussions on Autonomous DEs and Direction Fields; Translation Property; Bessel Functions; LU-Factorization; Da Vinci’s apparatus for determining speed; and more • The Student Companion Website, included with every new copy, includes a wealth of study aids, learning tools, projects, and essays to enhance student learning • Instructor materials include a complete instructor solutions manual, PowerPoint Lecture Outlines, Image Bank, and Test Bank

Companion Website Every new copy is packaged with full student access to the companion website, which features a variety of study aids, assessment tools, and outstanding projects designed to help students get the most out of their course. Learn more about this robust study tool at go.jblearning.com/AEM5eWebsite

Digital Format Options: Instructor Resources: IB, PP, SM, TB, WA

Student Resources: CW, SR, WA

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LINEAR ALGEBRA

Linear Algebra with Applications

Eighth Edition

Alternate Eighth Edition

Gareth Williams, Stetson University

Updated and revised, the Eighth Edition of Gareth Williams’ classic text is designed for the introductory course in linear algebra. It provides a flexible blend of theory and engaging applications for students within engineering, science, mathematics, business management, and physics. It is organized into three parts that contain core and optional sections. There is then ample time for the instructor to select the material that gives the course the desired flavor.

Introductory courses in linear algebra can be taught in a variety of ways and the order of topics offered may vary based on the needs of the students. Linear Algebra with Applications, Alternate Eighth Edition provides instructors with an additional presentation of course material. In this edition earlier chapters cover systems of linear equations, matrices, and determinants. The more abstract material on vector spaces starts later, in Chapter 4, with the introduction of the vector space Rn . This leads directly into general vector spaces and linear transformations. This alternate edition is especially appropriate for students preparing to apply linear equations and matrices in their own fields.

Part 1 introduces the basics, presenting systems of linear equations, vectors and subspaces of Rn matrices, linear transformations, determinants, and eigenvectors. Part 2 builds on the material presented in Part 1 and goes on to introduce the concepts of general vector spaces, discussing properties of bases, developing the rank/nullity theorem, and introducing spaces of matrices and functions. Part 3 completes the course with important ideas and methods of numerical linear algebra, such as ill-conditioning, pivoting, and LU decomposition. ISBN-13: 978-1-4496-7954-5 Hardcover • 560 pages • © 2014

Digital Format Options: Instructor Resources: PP, SM, TB, WA Student Resources: SM, WA

Clear, concise, and comprehensive, Linear Algebra with Applications, Alternate Eighth Edition, continues to educate and enlighten students, leading to a mastery of the mathematics and an understanding of how to apply it. ISBN-13: 978-1-4496-7956-9 Hardcover • 575 pages • © 2014

Digital Format Options: Instructor Resources: PP, SM, TB, WA Student Resources: SM, WA Learn More at: go.jblearning.com/Alternate8e

Learn More at: go.jblearning.com/Williams8e

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LINEAR ALGEBRA

Linear Algebra

Theory and Applications Second Edition Ward Cheney, University of Texas, Austin David Kincaid, University of Texas, Austin Ward Cheney and David Kincaid have developed Linear Algebra: Theory and Applications, Second Edition, a multi-faceted introductory textbook, which was motivated by their desire for a single text that meets the various requirements for differing courses within linear algebra. For theoreticallyoriented students, the text guides them as they devise proofs and deal with abstractions by focusing on a comprehensive blend between theory and applications. For applicationoriented science and engineering students, it contains numerous exercises that help them focus on understanding and learning not only vector spaces, matrices, and linear transformations, but uses of software tools available for use in applied linear algebra. Using a flexible design, it is an ideal textbook for instructors who wish to make their own choice regarding what material to emphasize, and to accentuate those choices with homework assignments from a large variety of exercises, both in the text and online.

Table of Contents

Key Features

Chapter 1: Systems of Linear Equations Chapter 2 : Vector Spaces and Transformations Chapter 3: Matrix Operations Chapter 4: Determinants Chapter 5: Vector Spaces Chapter 6: Eigensystems Chapter 7: Inner Product Vector Spaces Chapter 8: Additional Topics

• New General Exercises and Computer Exercises have been added to nearly all sections throughout the text • Thousands of exercises, both True/False and multiple-choice, are included online and within the Student Study Guide • The authors encourage students to learn one of the powerful mathematical software tools, such as Matlab, Maple, or Mathematica to assist in solving exercises • Numerous examples throughout the text show how problems from engineering, biology, natural science, and demography can be solved using linear algebra • A Student Solutions Manual and Study Guide provides worked solutions to selected exercises from the text as well as additional exercises

Digital Format Options: Instructor Resources: IM, PP, WA, SM

Student Resources: SR, WA

Learn More at: go.jblearning.com/cheney

ALGEBRA & TRIGONOMETRY

Algebra and Trigonometry Third Edition Dennis G. Zill, Loyola Marymount University Jacqueline M. Dewar, Loyola Marymount University

This Third Edition covers the principles of college algebra, trigonometry, and analytic geometry in a concise and student-friendly style. Throughout the text, students will find a wide range of word problems and relevant applications, historical accounts of famous mathematicians, and a variety of modern exercises. With an emphasis on problem solving, the examples are designed to motivate, instruct, and guide students, while urging them to test their comprehension, challenge their understanding, and apply their knowledge to real world situations. ISBN-13: 978-0-7637-5461-7 • Hardcover • 750 pages • © 2012

Digital Format Options: Instructor Resources: PP, SM, TB, WA Student Resources: CW, SR, WA Learn More at: go.jblearning.com/AandTrig

College Algebra Third Edition Dennis G. Zill, Loyola Marymount University Jacqueline M. Dewar, Loyola Marymount University

With an emphasis on problem-solving and packed with engaging, student-friendly exercise sets and examples, College Algebra, Third Edition is the perfect text for the traditional college algebra course. Zill’s renowned pedagogy and accessible, straightforward writing style urges students to delve into the content and experience the mathematics first hand through numerous problem sets. ISBN-13: 978-1-4496-0602-2 • Hardcover • 544 pages • © 2012

Digital Format Options: Instructor Resources: PP, SM, TB, WA Student Resources: CW, SR, WA Learn More at: go.jblearning.com/ColAlgebra

Trigonometry Third Edition Dennis G. Zill, Loyola Marymount University Jacqueline M. Dewar, Loyola Marymount University

Designed for the one-term course in trigonometry, this Third Edition incorporates all of the many teaching and learning tools that have made Zill’s texts a resounding success. Zill takes care to include a full set of engaging and motivating features for students, including a wide range of word problems and specific applications, historical accounts of mathematicians, and a strong variety of relevant exercises. ISBN-13: 978-1-4496-0604-6 • Hardcover • 394 pages • © 2012

Digital Format Options: Instructor Resources: PP, SM, TB, WA Student Resources: CW, SR, WA Learn More at: go.jblearning.com/Trig

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PRECALCULUS

Precalculus with Calculus Previews Fifth Edition

Dennis G. Zill, Loyola Marymount University Jacqueline M. Dewar, Loyola Marymount University Every new copy of the text includes access to the Student Companion Website! Building off the success of Zill and Dewar’s popular Essentials version, the new Fifth Edition of Precalculus with Calculus Previews continues to include all of the outstanding features and learning tools found in the original text while incorporating additional topics of coverage that some courses may require. With a continued effort to keep the text complete, yet concise, the authors have included four additional chapters making the text a clear choice for many mainstream courses. Additional chapters include a new chapter on Polar Coordinates, as well as Triangle Trigonometry, Systems of Equations and Inequalities, and Sequences and Series. This student-friendly, full-color text offers numerous exercise sets and examples to aid in students’ learning and understanding, and graphs and figures throughout serve to better illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student’s successful transition into future calculus courses.

Key Features • New chapter on Polar Coordinates • New appendix on Complex Numbers has been added • The Calculus Preview, found at the end of each chapter, offers students a glimpse of a single calculus concept along with the algebraic, logarithmic, and trigonometric manipulations that are necessary for the successful completion of typical problems related to that concept • Available with a new graphing calculator manual, Exploring Mathematics: Solving Problems with the TI-84 Plus Graphing Calculator

Table of Contents Chapter 1 : Inequalities, Equations, and Graphs Chapter 2 : Functions Chapter 3 : Polynomial and Rational Functions Chapter 4 : Trigonometric Functions Chapter 5 : Triangle Trigonometry Chapter 6 : Exponential and Logarithmic Functions Chapter 7 : Conic Sections Chapter 8 : Polar Coordinates Chapter 9 : Systems of Equations and Inequalities Chapter 10: Sequences and Series Appendix A: Complex Numbers Appendix B: Descartes’ Rule of Signs Appendix C: Formulas from Geometry

Digital Format Options: Instructor Resources: IB, SM, TB, WA

Student Resources: CW, SR, WA

Learn More at: go.jblearning.com/Precalc5e

PRECALCULUS

Precalculus A Functional Approach to Graphing and Problem Solving Sixth Edition Karl Smith

The Sixth Edition prepares students for the concepts and applications they will encounter in future calculus courses. This text provides sound development of the important mathematical underpinnings of calculus, stimulating problems and exercises, and a well-developed, engaging pedagogy. Instructors will find that Smith’s straightforward, studentfriendly presentation provides exactly what they have been looking for in a text! ISBN-13: 978-1-4496-4916-6 • Hardcover • 770 pages • © 2013

Digital Format Options: Instructor Resources: IM, PP, SM, TB, WA Student Resources: CW, SM, WA Learn More at: go.jblearning.com/SmithPrecalculus

Essentials of Precalculus with Calculus Previews Fifth Edition Dennis G. Zill, Loyola Marymount University Jacqueline M. Dewar, Loyola Marymount University

Perfect for the one-term course, this text provides a complete, yet concise, introduction to precalculus concepts. Consistent with Professor Zill’s eloquent writing style, this full-color text offers numerous exercise sets and examples to aid in student comprehension, while graphs and figures throughout serve to illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of many calculus problems. ISBN-13: 978-1-4496-1497-3 • Hardcover • 440 pages • © 2012

Digital Format Options: Instructor Resources: PP, SM, TB, WA Student Resources: CW, SR, WA Learn More at: go.jblearning.com/EssPrecalc

Exploring Mathematics Solving Problems with the TI-84 Plus Graphing Calculator Jeffrey M. Gervasi, Porterville College

This useful manual provides students in precalculus, college algebra, and trigonometry courses with instruction on how to use a graphing calculator to solve a number of problems in their textbook. All references in the manual refer to the TI-84 Plus graphing calculator; however many of the keystrokes described also apply to the TI-83 Plus. ISBN-13: 978-1-4496-3930-3 • Paperback • 66 pages • © 2012

Digital Format Options: Learn More at: go.jblearning.com/ExploringMath

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CALCULUS

New

Coming Soon

Brief Calculus for the Business, Social, and Life Sciences Third Edition Bill Armstrong, Lakeland Community College Don Davis, Lakeland Community College

Designed for economics, business, or social or behavioral science majors in a one or two term course, this text presents mathematics in a clear and accessible language. Real-world examples and data applications make calculus relevant, and the conversational style of the text evokes the one-on-one communication of a personalized tutorial session. The revised and updated Third Edition includes a new, four-step problem-solving method that allows students to independently find solutions to a broad spectrum of problem sets.

Key Features • Includes optional highlighted Technology Option sections that point out how solutions can be found using a graphing calculator • Provides comprehensive exercise sets, including Concept and Writing Exercises, Vocabulary Exercises, and Application Exercises as well as Section Projects ISBN-13: 978-1-4496-9516-3 Hardcover • 736 pages • © 2014

Digital Format Options: Instructor Resources: PP, SM, TB, WA Student Resources: CW, SR, WA Learn More at: go.jblearning.com/BriefCalc

Finite Mathematics Second Edition Bill Armstrong, Lakeland Community College Don Davis, Lakeland Community College

Appropriate for the one-term course for students majoring in economics, business, and social and behavioral sciences, this text is written around key principles designed to clearly address student needs. The mathematics is presented in an easy-to-read and engaging style. Meaningful problem-solving techniques are presented throughout that apply to a variety of disciplines and real data applications are used to capture student interest. Algebraic concepts and essential skills are reinforced and learning objectives are clearly defined.

Key Features • A four-step method is used throughout the text to identify the critical steps in problem solving and include: “Understand the Situation”, “Perform the Mathematics”, “Interpret the Results”, and “Try it Yourself ” • Concept and Writing Exercises extend concepts and ask student to critically explore and write about particular concepts throughout the text • More than 6200 exercises throughout ISBN-13: 978-1-284-02330-5 Hardcover • 704 pages • © 2015

Digital Format Options: Instructor Resources: PP, SM, TB, WA Student Resources: CW, SR, WA Learn More at: go.jblearning.com/FiniteMath

CALCULUS

Calculus Early Transcendentals Fourth Edition Dennis G. Zill, Loyola Marymount University Warren S. Wright, Loyola Marymount University

Appropriate for the traditional three-term college calculus course, this text incorporates all of the exceptional learning tools that have made Zill’s texts a resounding success. He carefully blends the theory and application of important concepts while offering modern applications and problem-solving skills. ISBN-13: 978-0-7637-5995-7 • Hardcover • 994 pages • © 2011

Digital Format Options: Instructor Resources: PP, SM, TB, WA Student Resources: SR, WA Learn More at: go.jblearning.com/CalcET

Single Variable Calculus Early Transcendentals Fourth Edition Dennis G. Zill, Loyola Marymount University Warren S. Wright, Loyola Marymount University

Dennis Zill’s mathematics texts are renowned for their student-friendly presentation and robust examples and problem sets. This Fourth Edition is no exception. Appropriate for the first two terms in the college calculus sequence, students are provided with a solid foundation in important mathematical concepts and problem solving skills, while maintaining the level of rigor expected of a calculus course. ISBN-13: 978-0-7637-4965-1 • Hardcover • 673 pages • © 2011

Digital Format Options: Instructor Resources: PP, SM, TB, WA Student Resources: SR, WA Learn More at: go.jblearning.com/SVcalc

Multivariable Calculus Fourth Edition Dennis G. Zill, Loyola Marymount University Warren S. Wright, Loyola Marymount University

Appropriate for the third semester in the college calculus sequence, this text is an ideal follow-up companion to Zill’s first volume, or as a stand-alone text. This exceptional revision presents the topics typically covered in the traditional third course, including Vector-valued Functions, Differential Calculus of Functions of Several Variables, Integral Calculus of Functions of Several Variables, Vector Integral Calculus, and an Introduction to Differential Equations. ISBN-13: 978-0-7637-4966-8 • Hardcover • 469 pages • © 2011

Digital Format Options: Instructor Resources: PP, SM, TB, WA Student Resources: SR, WA Learn More at: go.jblearning.com/MVcalc

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DISCRETE MATHEMATICS

Essentials of Discrete Mathematics

Discrete Structures, Logic, and Computability

Second Edition

Third Edition

David J. Hunter, Westmont College

James L. Hein, Portland State University

This text is ideal for one-term discrete mathematics courses to serve computer science majors as well as students from a wide range of other disciplines. It introduces students to the mathematical way of thinking, and also to many important modern applications. The material is organized around five types of thinking: logical, relational, recursive, quantitative, and analytical. This presentation results in a coherent outline that steadily builds upon mathematical sophistication. Graphs are introduced early and referred to throughout the text. Students will encounter algorithms near the end of the text. The final chapter contains in-depth case studies from a variety of fields, including biology, sociology, linguistics, economics, and music.

Thoroughly updated, the Third Edition introduces beginning computer science and computer engineering students to the fundamental techniques and ideas used by computer scientists today, focusing on topics from the fields of mathematics, logic, and computer science itself. Dr. Hein provides elementary introductions to those ideas and techniques that are necessary to understand and practice the art and science of computing. The text contains all of the topics for discrete structures in the reports of the IEEE/ACM Joint Task Force on Computing Curricula for computer science and computer engineering programs.

Key Features • Provides an early introduction to graph theory • Contains a range of exercises designed to help students think mathematically, with over 100 new exercises • Offers careful attention to mathematical logic and proof techniques ISBN-13: 978-1-4496-0442-4 Hardcover • 494 pages • © 2012

Digital Format Options: Instructor Resources: PP, SM, WA Student Resources: WA

Key Features • Expanded discrete probability to a full section in Chapter 5 • Over 100 new examples and exercises have been added • Revised Chapter 6 on Formal Reasoning • Answers for selected exercises are provided as an appendix ISBN-13: 978-0-7637-7206-2 Hardcover • 1009 pages • © 2010

Digital Format Options: Instructor Resources: PP, SM Student Resources: SG Learn More at: go.jblearning.com/Hein

Learn More at: go.jblearning.com/Hunter

COMPLEX ANALYSIS

New Edition Coming Fall 2013

Complex Analysis for Mathematics and Engineering

A First Course in Complex Analysis

Sixth Edition

Dennis G. Zill, Loyola Marymount University Patrick Shanahan, Loyola Marymount University

John H. Mathews, California State University Russell W. Howell, Westmont College

Intended for the undergraduate student majoring in mathematics, physics or engineering, this Sixth Edition continues to provide a comprehensive, student-friendly presentation of this interesting area of mathematics. The authors strike a balance between the pure and applied aspects of the subject, and present concepts in a clear writing style that is appropriate for students at the junior/senior level. New exercise sets help students test their understanding of the material and assess their progress through the course.

Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manner. With Zill’s clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity.

Key Features

• New exercise sets help students work through and understand key concepts more thoroughly • A chapter on z-transforms and applications provides students with a current look at digital filter design and signal process • Applications outline how complex analysis is used in science and engineering • Additional exercises using Maple and Mathematica are available online ISBN-13: 978-1-4496-0445-5 Hardcover • 650 pages • © 2012

Digital Format Options: Instructor Resources: IM, SM Learn More at: go.jblearning.com/mathews

Second Edition

• New and revised problems and exercise sets throughout • End-of-chapter materials include Computer Lab Assignments and a Chapter Review Quiz • Proof Problems offer an additional learning experience for students, who are supported through each step of the process by hints and guides ISBN-13: 978-0-7637-5772-4 Hardcover • 405 pages • © 2009

Digital Format Options: Instructor Resources: SM Student Resources: SG Learn More at: go.jblearning.com/ZillCA

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ADVANCED MATHEMATICS

New

Essentials of Mathematical Statistics

A Transition to Mathematics with Proofs

Brian Albright, Concordia University

Michael Cullinane, Keene State University

Written for the one-term introductory probability and statistics course for mid- to upper-level math and science majors, this text combines the topics generally found in main-stream elementary statistics books with the essentials of the underlying theory. The text begins with an axiomatic treatment of probability followed by chapters on discrete and continuous random variables and their associated distributions. It then introduces basic statistical concepts and stresses the connection between probability and statistics. Final chapters introduce hypothesis testing, regression, and non-parametric techniques. All chapters provide a balance between conceptual understanding and theoretical understanding of the topics at hand.

Developed for the “transition” course for mathematics majors moving beyond the primarily procedural methods of their calculus courses toward a more abstract and conceptual environment found in more advanced courses, this text emphasizes mathematical rigor and helps students learn how to develop and write mathematical proofs. It addresses standard topics such as set theory, number system, logic, relations, functions, and induction at a pace appropriate for a wide range of readers.

Key Features • End-of-section exercises range from computational to conceptual to theoretical • Many sections include a sub-section titled “Software Calculations” which gives detailed descriptions of how to perform the calculations discussed in the section using the software Minitab, R, Excel, and the TI83/84 calculators ISBN-13: 978-1-4496-8534-8 Hardcover • 570 pages • © 2014

Digital Format Options: Instructor Resources: PP, SM, TB Student Resources: SR

Key Features • Each chapter section begins with a set of guided reading questions intended to help students in identifying the most significant points made within the section • Practice problems are embedded within chapters so that students can actively work with a key idea that has just been introduced • Each chapter includes a collection of problems, ranging in level of difficulty, which are perfect for in-class discussion or homework assignments ISBN-13: 978-1-4496-2778-2 Hardcover • 354 pages • © 2013

Digital Format Options: Instructor Resources: IB, PP, SM Learn More at: go.jblearning.com/Cullinane

Learn More at: go.jblearning.com/MathStats

ADVANCED MATHEMATICS

Multivariable Calculus David B. Damiano, College of the Holy Cross Margaret N. Freije, College of the Holy Cross

Written for mathematics, science, and engineering majors who have completed the traditional two-term course in single variable calculus, Multivariable Calculus bridges the gap between mathematical concepts and their real-world applications outside of mathematics. Using precise mathematical language, the ideas of multivariable calculus are presented in a context that is informed by their nonmathematical applications. The text incorporates collaborative learning strategies and the sophisticated use of technology, engaging students as active participants in the development of their own understanding of mathematical ideas, and encouraging them to communicate mathematically.

Key Features • Connections between mathematics and the sciences are central to the text • Selected applications appear in multiple contexts facilitating the use of different mathematical techniques to explore a physical model • Numerous exercises incorporate Maple as a tool to explore a topic in-depth ISBN-13: 978-0-7637-8247-4 Hardcover • 544 pages • © 2012

Digital Format Options: Instructor Resources: PP, SM, WA Student Resources: WA Learn More at: go.jblearning.com/Damiano

A Journey into Partial Differential Equations William O. Bray, Missouri State University

Ideal for the 1-term course, this text provides a solid introduction to PDEs for the undergraduate math, engineering, or physics student. Discussing underlying physics, concepts and methodologies, the text focuses on the classical trinity of equations: the wave equation, heat/diffusion equation, and Laplace’s equation. Bray provides careful treatment of the separation of variables and the Fourier method, motivated by the geometrical notion of symmetries, and places emphasis on both the qualitative and quantitative methods, as well as geometrical perspectives. With hundreds of exercises and a wealth of figures, A Journey into Partial Differential Equations proves to be the model book for the PDE course.

Key Features • Contains over 200 exercises and a wealth of figures for graphic illustration • Analytical methodologies and geometric perspectives are emphasized throughout • Offers an early introduction to distributions/generalized functions and their use throughout the text • Supplementary Mathematica notebook files are available on the text’s website ISBN-13: 978-0-7637-7256-7 Hardcover • 316 pages • © 2012

Digital Format Options: Instructor Resources: SM Learn More at: go.jblearning.com/Bray

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ADVANCED MATHEMATICS

Mathematical Modeling for the Scientific Method

Mathematical Modeling with Excel

David W. Pravica, East Carolina University Michael Spurr, East Carolina University

Brian Albright, Concordia University

This text is intended for the sophomore/juniorlevel student seeking to be well-grounded in mathematical modeling for their studies in biology, the physical sciences, engineering, and/ or medicine. It clarifies the connection between deductive and inductive reasoning as used in mathematics and science and urges students to think critically about concepts and applications. The authors’ goal is to be introductory in level while covering a broad range of techniques. They unite topics in statistics, linear algebra, calculus and differential equations, while discussing how these subjects are interrelated and utilized.

Key Features • Asks students to think critically about the application at hand and work through multi-step, project-based problem sets • Introduces statistics early to bridge the gap between deductive and inductive reasoning • Approaches the subject of Calculus intuitively through algebra and linearization • Scans a range of topics of modern interest to scientists ISBN-13: 978-0-7637-7946-7 Hardcover • 492 pages • © 2012

Digital Format Options: Instructor Resources: SM

This text presents various methods used to build and analyze mathematical models in a format that students can quickly comprehend. Excel is used as a tool to accomplish this goal of building and analyzing the models. Ideal for math and secondary math education majors, this text presents a wide variety of common types of models, as well as some new types, and presents each in a unique, easy-to-understand format. End-of-chapter exercises ask students to modify or refine the existing model, analyze it further, or adapt it to similar scenarios.

Key Features • Incorporates a user-friendly writing style makes the text appropriate for a wide range of students • Covers topics in a unique way by beginning each section with a theoretical derivation of a model scenario, then showing step-bystep instructions for implementing and dynamically analyzing the model in Excel • Includes an extensive section on simulation models ISBN-13: 978-0-7637-6566-8 Hardcover • 286 pages • © 2010

Digital Format Options: Instructor Resources: SM Learn More at: go.jblearning.com/Albright

Learn More at: go.jblearning.com/Pravica

ADVANCED MATHEMATICS

Elements of Real Analysis

An Introduction to Analysis

Charles Denlinger

Second Edition

This text is a student-friendly guide to learning all of the important ideas of real analysis, based on the author’s many years of experience teaching typical undergraduates. It provides an accessible writing-style, ideal for students encountering the subject for the first time, without sacrificing rigor or coverage.

Key Features • Flexible in design, the text can be used in a one- or two-term course • Numerous examples clearly illustrate the concepts at hand • Project-type exercises guide students through advanced topics ISBN-13: 978-0-7637-7947-4 Hardcover • 739 pages • © 2011

Gerald G. Bilodeau, G.E. Keough, and Paul Thie

This text presents a sharply focused introduction to the basic concepts of analysis from the development of the real numbers through uniform convergences of a sequence of functions, and includes supplementary material on the calculus of functions of several variables and differential equations.

Key Features • New chapter on differential equations • Provides a wealth of exercises, varying in style, in each section • Includes a new introduction to multivariable calculus ISBN-13: 978-0-7637-7492-9 Hardcover • 333 pages • © 2010

Digital Format Options: Instructor Resources: SM

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Basic Real Analysis James S. Howland, University of Virginia

Intended for students who have recently completed their calculus course, this text is appropriate for the one-term course in Real Analysis. • Paced at a level appropriate for a diverse group of learners. • Useful appendices cover material on (a.) sets and functions, (b.) countable and uncountable sets, and (c.) point set topology. ISBN-13: 978-0-7637-7318-2 • Hardcover • 232 pages • © 2010

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GEOMETRY

Geometry with an Introduction to Cosmic Topology Michael P. Hitchman, Linfield College

What is the shape of the universe? Does the universe have an edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics and focuses on the mathematical tools used to investigate the shape of the universe. The text follows the Erlangen Program, which develops geometry in terms of a space and a group of transformations of that space. This approach to non-Euclidean geometry provides excellent material by which students can learn the more sophisticated modes of thinking necessary in upper-division mathematics courses ISBN-13: 978-0-7637-5457-0 • Hardcover • 238 pages • © 2009

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Foundations of Topology Second Edition C. Wayne Patty, Virginia Polytechnic Institute and State University

Written with the mature student in mind, Foundations of Topology, Second Edition, provides a user-friendly, clear, and concise introduction to this fascinating area of mathematics. The author introduces topics that are well-motivated with thorough proofs that make them easy to follow. Historical comments are dispersed throughout the text, and exercises varying in degree of difficulty are found at the end of each chapter. Foundations of Topology is an excellent text for teaching students how to develop the skills for writing clear and precise proofs. ISBN-13: 978-0-7637-4234-8 • Hardcover • 380 pages • © 2009

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A Gateway to Modern Geometry The Poincaré Half-Plane Second Edition Saul Stahl, University of Kansas

Stahl’s Second Edition continues to provide students with the elementary and constructive development of modern geometry that brings them closer to current geometric research. At the same time, repeated use is made of high school geometry, algebra, trigonometry, and calculus, thus reinforcing the students’ understanding of these disciplines as well as enhancing their perception of mathematics as a unified endeavor. This distinct approach makes these advanced geometry principles accessible to undergraduates and graduates alike. ISBN-13: 978-0-7637-5381-8 • Hardcover • 255 pages • © 2008

Digital Format Options: Instructor Resources: IM, SM Learn More at: go.jblearning.com/Stahl

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