Jones & Bartlett Learning 2015 Math Catalog

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MATH 2015 ACADEMIC CATALOG

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TABLE OF CONTENTS New Titles Exploring Mathematics: Investigations with Functions Essentials of Precalculus with Calculus Previews, Sixth Edition

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The Jones & Bartlett Learning Difference Superior Customer Service

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Online Learning Solutions

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Custom Solutions

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WebAssign 5 Dennis G. Zill

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Engineering Mathematics

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Liberal Arts Mathematics

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Linear Algebra

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Algebra & Trigonometry

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Precalculus 11 Calculus 14 Discrete Mathematics

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Complex Analysis

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Advanced Mathematics

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Geometry 22

STUDENT & EDUCATOR RESOURCES For the Student—

For the Educator—

To meet the needs of today’s

Many of our core textbooks are accompanied

students, we have developed

by print and online resources that support

numerous interactive and

and enhance the teaching process. Look for

engaging learning resources.

Instructor Resources listed under specific

Look for Student Resources listed

titles to see the range of options available.

under specific titles to see the

Instructor Resources:

range of options available.

AE = Answers to Exercises

Student Resources:

AR = Additional Resources

CW = Navigate Companion Website

IB = Image Bank

LM = Lab Manual

PP = Lecture Outlines in PowerPoint format

SG = Student Study Guide

ISM = Instructor’s Solutions Manual

SM = Student Solutions Manual

TB = Test Bank

SR = Student Resource Manual

WA = WebAssign

WA = WebAssign

IM = Instructor’s Manual

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NOW BROWSE ALL OF

DENNIS G. ZILL'S AWARD-WINNING TEXTS IN ONE PLACE Visit: go.jblearning.com/DennisZill

New!

Dennis G. Zill

Loyola Marymount University

Dennis G. Zill received a PhD in Applied Mathematics from Iowa State University, and is a former professor of Mathematics at Loyola Marymount University in Los Angeles, Loras College in Iowa, and California Polytechnic State University. He is also the former chair of the Mathematics department at Loyola Marymount University, where he currently holds a rank as Professor Emeritus of Mathematics. Zill holds interests in astronomy, modern literature, music, golf, and good wine, while his research interests include Special Functions, Differential Equations, Integral Transformations, and Complex Analysis.

ENGINEERING MATHEMATICS

Advanced Engineering Mathematics FIFTH EDITION Dennis G. Zill Warren S. Wright Both of Loyola Marymount University Modern and comprehensive, the new fifth edition of Dennis G. Zill’s Advanced Engineering Mathematics is a full compendium of topics that are most often covered in Engineering Mathematics, and is extremely flexible to meet the unique needs of courses ranging from ordinary differential equations to vector calculus. A key strength of this bestselling text is Zill’s emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each.

Accompanied by a full suite of instructor and student resources including a Complete Solutions Manual, Lecture Outlines in PowerPoint format, Image Bank, Test Bank, and a Student Solutions Manual.

KEY FEATURES • Eight all-new contributed applied project problems spread throughout the text, including an in-depth discussion of the mathematics and history of the Paris Guns of World War I • An expanded discussion of spherical Bessel functions

• All-new boundary-value problems added to the chapters on partial differential equations • An all-new section on the LU-factorization of a matrix • Revisions and reorganization throughout the text to improve clarity and flow • Available with WebAssign

Navigate Companion Website Every new, print copy includes access to the Student Companion Website where students will find a wealth of learning and study tools to help them succeed in their course, including:

Learn more about this robust study tool at go.jblearning.com/AEM5Website ISBN-13: 978-1-4496-9158-5 Companion Website • © 2014

• Projects and Application Essays contributed by experts in the field • Two Additional Chapters on Probability and Statistics • Resource Links that provide additional information on key topics from the text • An Interactive Glossary allows students to quickly find definitions of key terms from the text

ISBN-13: 978-1-4496-9172-1 • Hardcover with Access Code • 1,004 pages • © 2014

Instructor Resources: AR, IB, PP, ISM, TB, WA Digital Format Options:

Student Resources: CW, SM, WA

Learn More at: go.jblearning.com/AEM5e

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LIBERAL ARTS MATHEMATICS

NEW

Exploring Mathematics

Investigations with Functions Craig Johnson, PhD, Marywood University Exploring Mathematics: Investigations with Functions is designed for one- or two- term mathematics courses for humanities and liberal arts majors. This unique ten-chapter text covers modern applications of mathematics in the liberal arts and situates the discipline within its rich and varied history. Exploring Mathematics draws on examples from the humanities, including how math is used in music and astronomy, and features perforated pages for easy study and review. The student-friendly writing style and informal approach demystifies the subject matter and offers an engaging and informative overview that will pique students’ curiosity and desire to explore mathematics further.

Organized around the use of algebraic functions, this text builds conceptual bridges between each chapter so that students develop advanced mathematical skills within a larger context. Unlike other texts that present mathematical topics as a disconnected set of rules and equations, Exploring Mathematics flows seamlessly from one subject to the next, situating each within its historical and cultural context.

This text provides a unique opportunity to showcase the richness of mathematics as a foundation upon which to build understanding of many different phenomena. Students will come away with a solid knowledge base of the unifying ideas of mathematics and the ability to explain how mathematics helps us to better our society and understand the world around us.

OBJECTIVES

KEY FEATURES

Chapter 1 The Concept of Function Chapter 2 Functions of Personal Finance Chapter 3 Logic and Computer Science Chapter 4 Astronomy and the Methods of Science Chapter 5 Graph Theory Chapter 6 Social Choice and Voting Methods Chapter 7 Probability Chapter 8 Statistics Chapter 9 Mathematics in Music and Cryptology Chapter 10 Modeling

• A full-color, interactive design provides students with a safe environment to graph solutions, check off chapter objectives, and answer questions directly in their textbook • Piques student interest in math by relating it to areas such as astronomy and music • Utilizes the concept of a function as a central theme, providing a common thread through chapters • Presents an engaging, student-friendly style with problem sets that incorporate real-world applications and data • An abundance of examples illustrating important applications are presented in each section, while full-color pictures and diagrams reinforce key concepts and increase student comprehension • Every new, printed copy includes FREE access to a Student Companion Website, featuring a Lab Manual and Student Solutions Manual

ISBN-13: 978-1-4496-8854-7 Paperback with Access Code • 656 pages • © 2015 Priced at $95.95* with Students in Mind!

Instructor Resources: PP, ISM, TB Student Resources: CW, LM, SM Digital Format Options: Custom Publishing Available Learn More at: go.jblearning.com/ExploreMath

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LINEAR ALGEBRA

Linear Algebra with Applications

Linear Algebra with Applications

EIGHTH EDITION

ALTERNATE, EIGHTH EDITION

Gareth Williams, Stetson University

Gareth Williams, Stetson University

This Eighth Edition is organized into three parts that contain core and optional sections so there is ample time for the instructor to select the material that gives the course the desired flavor.

It introduces Rn in Chapter 1, and then uses these concepts in discussions of systems of linear equations, matrices, linear transformations, and eigenvectors–a more theoretical approach.

In this Alternate Edition, earlier chapters cover systems of linear equations, matrices, and determinants. Rn is introduced later, which leads directly into general vector shapes and linear transformations, making it especially appropriate for students preparing to apply linear equations and matrices in other fields.

ISBN-13: 978-1-4496-7954-5 Hardcover • 560 pages • © 2014

Instructor Resources: PP, ISM, TB, WA Student Resources: SM, WA Digital Format Options: Custom Publishing Available

ISBN-13: 978-1-4496-7956-9 Hardcover • 575 pages • © 2014

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

Learn More at: go.jblearning.com/Williams8e

Linear Algebra Theory and Applications SECOND EDITION Ward Cheney, PhD David R. Kincaid, PhD Both of University of Texas, Austin

For application-oriented science and engineering students, Linear Algebra: Theory and Applications, Second Edition contains numerous exercises that help them focus on understanding and learning not only vector spaces, matrices, and linear transformations, but also how software tools are used in applied linear algebra.

ISBN-13: 978-1-4496-1352-5 • Hardcover • 624 pages • © 2012

Instructor Resources: IM, PP, ISM, WA Student Resources: SR, WA Digital Format Options: Custom Publishing Available Learn More at: go.jblearning.com/Cheney

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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. 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

Instructor Resources: IB, ISM, TB, WA Student Resources: CW, SR, WA Digital Format Options: Custom Publishing Available Learn More at: go.jblearning.com/AlgTrig

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.

Dennis G. Zill’s renowned pedagogy and accessible, straightforward writing style urges students to delve into the content and experience mathematics firsthand through numerous problem sets.

ISBN-13: 978-1-4496-0602-2 • Hardcover • 544 pages • © 2012

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

Trigonometry THIRD EDITION Dennis G. Zill, Loyola Marymount University Jacqueline M. Dewar, Loyola Marymount University

Designed for the one-term course in trigonometry, this Trigonometry, Third Edition incorporates all of the many teaching and learning tools that have made Dennis G. 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

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

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PRECALCULUS

Precalculus

Exploring Mathematics

A Functional Approach to Graphing and Problem Solving

Solving Problems with the TI-84 Plus Graphing Calculator

SIXTH EDITION

Jeffrey M. Gervasi, Porterville College

Karl J. Smith

Precalculus: A Functional Approach to Graphing and Problem Solving 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.

Students will leave with a clear understanding of what lies ahead in their future calculus courses. Instructors will find that Smith’s straightforward, student-friendly presentation provides exactly what they have been looking for in a text.

KEY FEATURES: • Street sign and warning sign icons point out common mistakes and pitfalls • What is Wrong? problems help students see common mistakes and think critically • Modeling Application problems are found throughout the text to teach the modeling process ISBN-13: 978-1-4496-4916-6 Hardcover with Access Code • 770 pages • © 2013

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

Exploring Mathematics is a useful manual that 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 text.

Students are urged to first make a conjecture about the solution based on their previous experience and knowledge from other math courses, and then test that conjecture with the aid of a graphing calculator.

TOPICS COVERED • The Viewing Rectangle • Graphing Equations • Locating Intercepts & Checking for Symmetry • Solving Equations • Square Screens • Graphing Inequalities • Solving Systems of Equations • Graphing Polar Equations • Graphing Parametric Equations • The Least-Squares Line ISBN-13: 978-1-4496-3930-3 Paperback • 66 pages • © 2012

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

Learn More at: go.jblearning.com/Smith

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PRECALCULUS

NEW

Essentials of Precalculus with Calculus Previews SIXTH EDITION Dennis G. Zill Jacqueline M. Dewar Both of Loyola Marymount University

Essentials of Precalculus with Calculus Previews, Sixth Edition is an ideal undergraduate text to help students successfully transition into a future course in calculus. The sixth edition of this best-selling text presents the fundamental mathematics used in a typical calculus sequence in a focused and readable format. Dennis G. Zill’s concise, yet eloquent, writing style allows instructors to cover the entire text in one semester. Essentials of Precalculus with Calculus Previews, Sixth Edition uses a vibrant full-color design to illuminate key concepts and improves students’ comprehension of graphs and figures. This text also includes a valuable collection of student and instructor resources, making it a complete teaching and learning package.

KEY FEATURES

TABLE OF CONTENTS

• New sections on implicitly defined functions and Product-to-Sum and Sum-to-Product trigonometric identities • Expanded discussion of applications of right triangles, including the addition of new problems designed to pique student interest • Increased emphasis on solving equations involving exponential and logarithmic functions • The discussion of the Laws of Sines and the Law of Cosines are now separated into two sections to facilitate and increase student comprehension • Provides a complete teaching and learning program with numerous student and instructor resources, including the Student Resource Manual, WebAssign, Complete Instructor Solutions Manual, and Image Bank • Updated and expanded WebAssign Online Homework and Grading System with comprehensive questions that facilitate learning

Chapter 1 Inequalities, Equations, and Graphs Chapter 2 Functions Chapter 3 Polynomial and Rational Functions Chapter 4 Trigonometric Functions Chapter 5 Exponential and Logarithmic Functions Chapter 6 Conic Sections

NOW BROWSE ALL OF

DENNIS G. ZILL'S AWARD-WINNING TEXTS IN ONE PLACE © Taewoon Lee/ShutterStock, Inc.

Visit: go.jblearning.com/DennisZill

ISBN-13: 978-1-284-05632-7 • Hardcover • 475 pages • © 2016 Priced at $99.95 with Students in Mind!

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

Student Resources: SR, WA

Learn More at: go.jblearning.com/EssPrecalc6

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PRECALCULUS

Precalculus with Calculus Previews FIFTH EDITION Dennis G. Zill Jacqueline M. Dewar Both of Loyola Marymount University Building off the success of Dennis G. Zill’s popular Essentials version, the 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.

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 subtext 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

TABLE OF CONTENTS

• Dennis G. Zill’s award-winning, student friendly approach • Includes an all-new chapter on Polar Coordinates • A focus on the function concept with great emphasis on basics, especially algebra • The use of calculus terminology provides students with the proper intuition to successfully transition to their future calculus course • New, applied and conceptual problems have been added throughout the text • Translating Words into Functions section illustrates how to translate a verbal description into a symbolic representation of a function and demonstrates these translations with actual calculus problems

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 Answers to Selected Odd-Number Problems

ISBN-13: 978-1-4496-4912-8 • Hardcover with Access Code • 660 pages • © 2013

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

Student Resources: CW, SR, WA

Learn More at: go.jblearning.com/PreCalc5e

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CALCULUS

Brief Calculus for the Business, Social, and Life Sciences

Calculus

THIRD EDITION

Dennis G. Zill Warren S. Wright Both of Loyola Marymount University

Bill Armstrong Don Davis Both of Lakeland Community College

Designed for economics, business, or social or behavioral science majors in a one- or twoterm course, Brief Calculus for the Business, Social, and Life Sciences makes calculus relevant with engaging, real-world examples and real data applications. The easy-to-read, conversational style of the text evokes the oneon-one communication of a personalized tutorial session without sacrificing depth of coverage or intellectual rigor. The revised and updated third edition of this popular text includes a new, fourstep problem-solving method that allows students to independently find solutions to a broad spectrum of problem sets. The text is packaged with a full ancillary suite of instructor resources, including a Test Bank, Lecture Outlines in PowerPoint format, WebAssign, and a Complete Solutions Manual. Additional student resources include a Student Solutions Manual and access to the Student Companion Website.

ISBN-13: 978-1-4496-9516-3 Hardcover with Access Code • 834 pages • © 2014

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

Early Transcendentals FOURTH EDITION

This outstanding revision incorporates all of the exceptional learning tools that have made Dennis G. Zill’s texts a resounding success. He carefully blends the theory and application of important concepts while offering modern applications and problem-solving skills.

TABLE OF CONTENTS Chapter 1 Functions Chapter 2 Limit of a Function Chapter 3 The Derivative Chapter 4 Applications of the Derivative Chapter 5 Integrals Chapter 6 Applications of the Integral Chapter 7 Techniques of Integration Chapter 8 First-Order Differential Equations Chapter 9 Sequences and Series Chapter 10 Conics and Polar Coordinates Chapter 11 Vectors and 3-Space Chapter 12 Vector-Valued Functions Chapter 13 Partial Derivatives Chapter 14 Multiple Integrals Chapter 15 Vector Integral Calculus Chapter 16 Higher-Order Differential Equations ISBN-13: 978-0-7637-5995-7 Hardcover • 994 pages • © 2011

Instructor Resources: IB, ISM, TB, WA Student Resources: SR, WA Digital Format Options: Custom Publishing Available Learn More at: go.jblearning.com/Calculus

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CALCULUS

Single Variable Calculus

Multivariable Calculus

Early Transcendentals

FOURTH EDITION

FOURTH EDITION

Dennis G. Zill Warren S. Wright Both of Loyola Marymount University

Dennis G. Zill Warren S. Wright Both of Loyola Marymount University

Dennis G. Zill’s mathematics texts are renowned for their student-friendly presentation and robust examples and problem sets, and the fourth edition of Single Variable Calculus 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 a level of rigor expected of a calculus course.

TABLE OF CONTENTS Chapter 1 Functions Chapter 2 Limit of a Function Chapter 3 The Derivative Chapter 4 Applications of the Derivative Chapter 5 Integrals Chapter 6 Applications of the Integral Chapter 7 Techniques of Integration Chapter 8 First-Order Differential Equations Chapter 9 Sequence and Series Chapter 10 Conics and Polar Coordinates ISBN-13: 978-0-7637-4965-1 Hardcover • 673 pages • © 2011

Instructor Resources: IB, ISM, TB, WA Student Resources: SR, WA Digital Format Options: Learn More at: go.jblearning.com/SVCalc

Appropriate for the third semester in the college calculus sequence, the fourth edition of Multivariable Calculus maintains the studentfriendly writing style and robust exercises and problem sets that Dennis G. Zill is famous for.

Ideal as a follow-up companion to Zill’s first volume, or as a standalone text, this exceptional revision presents the topics typically covered in the traditional third course. These topics include Vector-Valued Functions, Differential Calculus of Functions of Several Variables, Vector Integral Calculus, and an Introduction to Differential Equations.

TABLE OF CONTENTS Chapter 9 Sequences and Series Chapter 10 Conics and Polar Coordinates Chapter 11 Vectors and 3-Space Chapter 12 Vector-Valued Functions Chapter 13 Partial Derivatives Chapter 14 Multiple Integrals Chapter 15 Vector Integral Calculus Chapter 16 Higher-Order Differential Equations ISBN-13: 978-0-7637-4966-8 Hardcover • 469 pages • © 2011

Instructor Resources: IB, ISM, TB, WA Student Resources: SR, WA Digital Format Options: Custom Publishing Available 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, PhD, Westmont College

James Hein, Portland State University

This text is ideal for a one-term discrete mathematics course to serve computer science majors, as well as students from a wide range of disciplines. It introduces students to the mathematical way of thinking, as well as 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. Students will encounter algorithms near the end of the text, and the final chapter contains in-depth case studies from a variety of fields including biology, sociology, linguistics, economics, and music.

Written for the prospective computer scientist, computer engineer, or applied mathematician, Discrete Structures, Logic, and Computability, Third Edition provides elementary introductions to those ideas and techniques that are necessary to understand and practice the art and science of computing including mathematics and logic.

KEY FEATURES • Completely revised and expanded solutions, with over 100 new exercises • Early introduction to graph theory • Careful attention to mathematical logic and proof techniques • Available with WebAssign Online Homework and Grading System ISBN-13: 978-1-4496-0442-4 Hardcover • 494 pages • © 2012

Instructor Resources: PP, ISM, WA Student Resources: WA Digital Format Options: Custom Publishing Available Learn More at: go.jblearning.com/Hunter

TABLE OF CONTENTS Chapter 1 Elementary Notions and Notations Chapter 2 Facts about Functions Chapter 3 Construction Techniques Chapter 4 Equivalence, Order, and Inductive Proof Chapter 5 Analysis Techniques Chapter 6 Elementary Logic Chapter 7 Predicate Logic Chapter 8 Applied Logic Chapter 9 Computational Logic Chapter 10 Algebraic Structures and Techniques Chapter 11 Regular Languages and Finite Automata Chapter 12 Context-Free Languages and Pushdown Automata Chapter 13 Turing Machines and Equivalent Models Chapter 14 Computational Notions ISBN-13: 978-0-7637-7206-2 Hardcover • 1,009 pages • © 2010

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

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COMPLEX ANALYSIS

Complex Analysis A First Course with Applications THIRD EDITION Dennis G. Zill Patrick D. Shanahan Both of Loyola Marymount University Complex Analysis: A First Course with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex analysis, this text discusses the theory of the most relevant mathematical topics in a student-friendly manner. With a clear and straightforward writing style, concepts are introduced through numerous examples, illustrations, and applications. Each section of the text contains an extensive exercise set containing a range of computational, conceptual, and geometric problems. In the text and exercises, students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section devoted exclusively to the applications of complex analysis to science and engineering, providing students with the opportunity to develop a practical and clear understanding of complex analysis.

KEY FEATURES • Clarity of exposition supported by numerous examples • Extensive exercise sets with a mix of computational and conceptual problems • Applications to science and engineering throughout the text • New and revised problems and exercise sets throughout

• Portions of the text and examples have been revised or rewritten to help clarify the topics at hand • The Mathematica syntax from the second edition has been updated to coincide with version 8 of the software

ISBN-13: 978-1-4496-9461-6 • Hardcover • 444 pages • © 2015

Instructor Resources: ISM Digital Format Options:

Student Resources: SM

Learn More at: go.jblearning.com/Complex3e

Complex Analysis for Mathematics and Engineering SIXTH EDITION John H. Mathews, California State University, Fullerton Russell W. Howell, Westmont College

This 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.

ISBN-13: 978-1-4496-0445-5 • Hardcover • 650 pages • © 2012

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

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ADVANCED MATHEMATICS

Essentials of Mathematical Statistics

A Transition to Mathematics with Proofs

Brian Albright, Concordia University

Michael J. Cullinane, PhD, 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 mainstream 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-pragmatic techniques. All chapters provide a balance between conceptual understanding and theoretical understanding of the topics at hand.

KEY FEATURES • Many sections include a “Software Calculations” sub-section that provides detailed descriptions of how to perform the calculations discussed in the section using the software Minitab, R, Excel, and the TI-83/84 calculators ISBN-13: 978-1-4496-8534-8 Hardcover • 598 pages • © 2014

Instructor Resources: AR, PP, ISM, TB Digital Format Options: Learn More at: go.jblearning.com/MathStats

A Transition to Mathematics with Proofs is 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. The author takes great care to develop a text that is accessible and readable for students at all levels. The text 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 • Each section begins with a set of guided reading questions intended to help students to identify 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 also 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

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

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ADVANCED MATHEMATICS

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

Written for the 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. With extended examples and exercises, and a student-friendly writing style, Multivariable Calculus is an exciting and engaging journey into mathematics relevant to students’ everyday lives.

KEY FEATURES • Selected applications appear in multiple contexts facilitating the use of different mathematical techniques to explore a physical model ISBN-13: 978-0-7637-8247-4 Hardcover • 544 pages • © 2012

Instructor Resources: AR, PP, ISM, WA Student Resources: WA Digital Format Options:

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

Ideal for the one-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, he 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 • Analytical methodologies and geometric perspectives are emphasized throughout • Offers an early introduction to distributions/ generalized functions and their use throughout the text • Mathematica notebook files are available on the text’s Website as a supplement ISBN-13: 978-0-7637-7256-7 Hardcover • 316 pages • © 2012

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

Learn More at: go.jblearning.com/Damiano

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ADVANCED MATHEMATICS

Mathematical Modeling for the Scientific Method

Mathematical Modeling with Excel

David W. Pravica, PhD Michael J. Spurr Both of East Carolina University

Brian Albright, Concordia University

This text is intended for the sophomore- or junior-level student seeking to be wellgrounded 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. Mathematical Modeling for the Scientific Method leaves students with a clearer perspective of the role of mathematics within the sciences, and the understanding of how to rationally work through even rigorous applications with ease.

ISBN-13: 978-0-7637-7946-7 Hardcover • 492 pages • © 2012

Instructor Resources: ISM Digital Format Options: Learn More at: go.jblearning.com/Pravica

Mathematical Modeling with Excel presents various methods used to build and analyze mathematical models in a format that students can quickly comprehend, and Excel is used as a tool to accomplish this goal. Ideal for math and secondary math education majors, this text offers 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. With a flexible design and student-friendly style, Albright’s text is the clear choice for engaging students in important modeling techniques, mathematical concepts, and application types.

KEY FEATURES • Covers topics in a unique way by beginning each section with a theoretical derivation of a model scenario, then showing stepby-step 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

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

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ADVANCED MATHEMATICS

Elements of Real Analysis Charles G. Denlinger

This text is a student-friendly guide to learning all the important ideas of real analysis, based on the author’s many years of experience. It provides an accessible writing style, ideal for students encountering the subject for the first time, yet does not sacrifice rigor or coverage.

ISBN-13: 978-0-7637-7947-4 • Paperback • 739 pages • © 2011

Instructor Resources: ISM Digital Format Options: Learn More at: go.jblearning.com/Denlinger

An Introduction to Analysis SECOND EDITION Gerald G. Bilodeau Paul R. Thie G.E. Keough

Completely revised and updated, this Second Edition 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. This student-friendly text maintains a cautious and deliberate pace, and examples and figures are used extensively to assist the reader in understanding the concepts and then applying them.

ISBN-13: 978-0-7637-7492-9 • Hardcover • 333 pages • © 2010

Instructor Resources: ISM Digital Format Options: Learn More at: go.jblearning.com/Bilodeau

Basic Real Analysis James S. Howland, University of Virginia

Ideal for the one-semester undergraduate course, this text is intended for students who have recently completed a traditional calculus course, and proves the theorems of Single Variable Calculus in a simple and accessible manner. It gradually builds upon key material as to not overwhelm students beginning the course, and becomes more rigorous as it progresses.

ISBN-13: 978-0-7637-7318-2 • Hardcover • 232 pages • © 2010

Instructor Resources: ISM Digital Format Options: Learn More at: go.jblearning.com/Howland

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GEOMETRY

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

This text is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have an edge? Is it infinitely big? 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

Instructor Resources: ISM Learn More at: go.jblearning.com/Hitchman

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 intriguing 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. This Second Edition 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

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

A Gateway to Modern Geometry The Poincaré Half-Plane SECOND EDITION Saul Stahl, PhD, 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 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

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

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