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MATHEMATICS 2014 ACADEMIC CATALOG

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TABLE OF CONTENTS Engineering Mathematics

Linear Algebra

Liberal Arts Mathematics

Algebra & Trigonometry

Precalculus 12 Calculus 14 Discrete Mathematics

Complex Analysis

Advanced Mathematics

Geometry 22

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BEST-SELLING MATH TEXTS BY DENNIS G. ZILL IN ONE PLACE Visit: go.jblearning.com/DennisZill

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 This updated fifth edition of the bestselling text Advanced Engineering Mathematics provides an in-depth overview of the many mathematical topics required for students planning a career in engineering or the sciences. Comprehensive, accessible, and thorough, this highly flexible text is the ideal resource for a multitude of science and engineering classes, and will prove invaluable to graduate and undergraduate students pursuing careers in these fields. Critically acclaimed author Dennis G. Zill has structured the text around the belief that the backbone of science- and engineering-related mathematics is the theory and application of ordinary and partial differential equations, resulting in a text that is as relevant and well-organized as it is thorough.

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

• 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 all-new section on the LU-factorization of a matrix • An expanded discussion of spherical Bessel functions • All-new boundary-value problems added to the chapters on partial differential equations

Navigate 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

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LINEAR ALGEBRA

Linear Algebra with Applications STANDARD, EIGHTH EDITION Gareth Williams, Stetson University

Updated and revised to increase clarity and further improve student learning, the eighth edition of Gareth Williams’ classic text is designed for the introductory course in linear algebra. It 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. ISBN-13: 978-1-4496-7954-5 • Hardcover • 560 pages • © 2014

Instructor Resources: PP, SM, TB, WA Student Resources: SM, WA eBook Options: Custom Publishing Available

Linear Algebra with Applications ALTERNATE, EIGHTH EDITION Gareth Williams, Stetson University

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

Instructor Resources: PP, SM, TB, WA Student Resources: SM, WA eBook Options: Custom Publishing Available

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

Linear Algebra: Theory and Applications, Second Edition guides students 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 learn and understand not only vector spaces, matrices, and linear transformations, but also the uses of software tools available for use in applied linear algebra. ISBN-13: 978-1-4496-1352-5 • Hardcover • 624 pages • © 2012

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LIBERAL ARTS MATHEMATICS

Exploring Mathematics

Investigations with Functions Craig Johnson, Marywood University

Available Fall 2014

Exploring Mathematics: Investigations with Functions is intended for a one- or two-term course in mathematics for college students majoring in the social sciences, English, history, music, art, education, or any other majors within liberal arts. The mathematics course of this scope, with an algebra prerequisite, is a popular selection for liberal arts students. This 9-chapter textbook offers modern applications of mathematics in the liberal arts as well as aesthetic features of this rich facet of history and ongoing advancement of human society.

With a central theme around the use of the concept of functions and the inclusion of unique topics and chapters, Exploring Mathematics enables students to explore the next level of mathematics. It attempts to answer the questions, “How does mathematics help us to better our society and understand the world around us?” and “What are some of the unifying ideas of mathematics?” This central theme helps to impress upon the student the feeling that mathematics is more than a disconnected potpourri of rules and tricks. Developing the concept of a function augments the presentation of many topics in every chapter.

OBJECTIVES

KEY FEATURES

1. Strengthen estimation and computational skills 2. Utilize algebraic concepts 3. Emphasize problem-solving and reasoning 4. Emphasize pattern and relationship recognition 5. Highlight importance of units in measurement 6. Highlight importance of the notion of a mathematical function 7. Display mathematical connections to other disciplines

• Student-friendly writing style incorporates interesting examples and problem sets that pique curiosity and inspire investigation • Wealth of real-world problem sets are included and are arranged in parallel with the development in the text and ordered by increasing complexity • Includes several chapters that are seldom seen in other textbooks of this genre, including Astronomy and Mathematics in Music • A Chapter Review Test, found within the endof-chapter material, provides students with a framework to help them properly prepare for upcoming tests and quizzes • Historical figures throughout serve to emphasize the historical development of mathematics and how it has shaped our world

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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, SM, TB, WA Student Resources: CW, SM, WA eBook Options: Custom Publishing Available

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 firsthand through numerous problem sets. ISBN-13: 978-1-4496-0602-2 • Hardcover • 544 pages • © 2012

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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

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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 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. 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. Every new copy of Precalculus with Calculus Previews, Fifth Edition includes access to the Student Companion Website! ISBN-13: 978-1-4496-4912-8 • Hardcover with Access Code • 660 pages • © 2013

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Precalculus A Functional Approach to Graphing and Problem Solving 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. Instructors will find that Smith’s straightforward, student-friendly presentation provides exactly what they have been looking for in a text! ISBN-13: 978-1-4496-4916-6 • Hardcover with Access Code 770 pages • © 2013

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PRECALCULUS

Essentials of Precalculus with Calculus Previews FIFTH EDITION Dennis G. Zill Jacqueline M. Dewar both of Loyola Marymount University Perfect for the one-term course, this text provides a complete, yet concise, introduction to Precalculus concepts. Consistent with Dennis G. 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 authors are careful to use calculus terminology in an informal and accessible way to facilitate the student’s successful transition into future calculus courses. With an outstanding collection of student and instructor resources, Essentials of Precalculus with Calculus Previews offers a complete teaching and learning solution.

KEY FEATURES • Vibrant four-color design illuminates key concepts and improves students’ comprehension of graphs and figures. • Building a Function from Words section illustrates how to translate a verbal description into a symbolic representation of a function and demonstrates these translations with actual calculus problems. • Chapter Review Exercises include problems that focus on the algebra, graphing, and function

theory, the subtext of so many calculus problems. Review questions include conceptual fill-in-the-blank and true/false, as well as numerous thought-provoking exercises. • Provides a complete teaching and learning program with numerous student and instructor resources, including the Student Resource Manual, WebAssign Access, Complete eLearning Center, and Complete Instructor Solutions Manual

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Student Resources: CW, SM, 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. ISBN-13: 978-1-4496-3930-3 • Paperback • 66 pages • © 2012

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CALCULUS

Brief Calculus for the Business, Social, and Life Sciences

Calculus

THIRD EDITION

Dennis G. Zill, Loyola Marymount University Warren S. Wright, Loyola Marymount University

Bill Armstrong, Lakeland Community College Don Davis, Lakeland Community College

Designed for economics, business, or social or behavioral science majors in a one- or twoterm 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.

FOURTH EDITION

Appropriate for the traditional three-term college calculus course, Calculus: Early Transcendentals, Fourth Edition provides the student-friendly presentation and robust examples and problem sets for which Dennis G. Zill is known. This outstanding revision incorporates all of the exceptional learning tools that have made Zill’s texts a resounding success.

TABLE OF CONTENTS

The text is packaged with a full ancillary suite of instructor resources, including a test bank, lecture outlines in PowerPoint format, access to multiple digital options through WebAssign, and a complete Solutions Manual; additional student resources include a Student Solutions Manual and access to the student companion website.

1: Functions; 2: Limit of a Function; 3: The Derivative; 4: Applications of the Derivative; 5: Integrals; 6: Applications of the Integral; 7: Techniques of Integration; 8: First-Order Differential Equations; 9: Sequences and Series; 10: Conics and Polar Coordinates; 11: Vectors and 3-Space; 12: Vector-Valued Functions; 13: Partial Derivatives; 14: Multiple Integrals; 15: Vector Integral Calculus; 16: Higher-Order Differential Equations

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

Early Transcendentals

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CALCULUS

Single Variable Calculus

Multivariable Calculus

Early Transcendentals

FOURTH EDITION

Dennis G. Zill, Loyola Marymount University Warren S. Wright, Loyola Marymount University

Dennis G. Zill’s mathematics texts are renowned for their student-friendly presentation and robust examples and problem sets. The fourth edition of Single Variable Calculus: Early Transcendentals is no exception. This outstanding revision incorporates all of the exceptional learning tools that have made Zill’s texts a resounding success. Appropriate for the first two terms in the college calculus sequence, students are provided with a solid foundation in important mathematical concepts and problemsolving skills, while maintaining the level of rigor expected of a Calculus course.

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

Instructor Resources: IB, SM, TB, WA Student Resources: SM, WA eBook 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, 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.

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

Instructor Resources: IB, SM, TB, WA Student Resources: SM, WA eBook Options: Custom Publishing Available Learn More at: go.jblearning.com/MVCalc

DISCRETE MATHEMATICS

Essentials of Discrete Mathematics

Discrete Structures, Logic, and Computability

SECOND EDITION

THIRD EDITION

David J. Hunter, PhD, 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. 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.

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

• 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.

• 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.

Instructor Resources: PP, SM, WA Student Resources: WA eBook Options: Custom Publishing Available

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

Learn More at: go.jblearning.com/Hunter

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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 NEW of the most relevant mathematical topics in a student-friendly manner. 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

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

Instructor Resources: SM eBook Options:

Student Resources: SM

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Complex Analysis for Mathematics and Engineering SIXTH EDITION John H. Mathews, California State University Russell W. Howell, Westmont College ISBN-13: 978-1-4496-0445-5 • Hardcover • 650 pages • © 2012

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ADVANCED MATHEMATICS

Essentials of Mathematical Statistics

A Transition to Mathematics with Proofs

Brian Albright, Concordia University

Michael J. 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 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 nonparametric 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 • Many sections include a sub-section titled “Software Calculations” that gives 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, SM, TB eBook Options:

KEY FEATURES • Each chapter 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 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, SM eBook Options: Learn More at: go.jblearning.com/Cullinane

Learn More at: go.jblearning.com/MathStats

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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 • 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

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

A Journey Into Partial Differential Equations William O. Bray, 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 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 • 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: SM eBook Options: Learn More at: go.jblearning.com/Bray

ADVANCED MATHEMATICS

Mathematical Modeling for the Scientific Method

Mathematical Modeling with Excel

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

Brian Albright, Concordia University

This text is intended for the sophomore- or junior-level 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 multistep, project-based problem sets. • Introduces Statistics early on 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

Instructor Resources: AN eBook Options:

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 • 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 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: AN eBook Options: Learn More at: go.jblearning.com/Albright

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ADVANCED MATHEMATICS

Elements of Real Analysis

An Introduction to Analysis

Charles G. 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. ISBN-13: 978-0-7637-7947-4 Hardcover • 739 pages • © 2011

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

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

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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. • Paced at a level appropriate for a diverse group of learners. • Useful appendices cover material on sets and functions, countable and uncountable sets, and 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 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

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