Higher Education

Mathematics: A Practical Odyssey, 7th Edition

  • David B. Johnson Diablo Valley College
  • Thomas A. Mowry Diablo Valley College
  • ISBN-10: 0538495057  |  ISBN-13: 9780538495059
  • 1024 Pages
  • Previous Editions: 2007, 2007, 2004
  • © 2012 | Published
  • College Bookstore Wholesale Price = $236.50
  • Newer Edition Available
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About

Overview

MATHEMATICS: A PRACTICAL ODYSSEY, 7E demonstrates mathematics' usefulness and relevance to students' daily lives through topics such as calculating interest and understanding voting systems. Well known for its clear writing and unique variety of topics, the text emphasizes problem-solving skills, practical applications, and the history of mathematics, and unveils the relevance of mathematics and its human aspect to students. To offer flexibility in content, the book contains more information than might be covered in a one-term course. The chapters are independent of each other so instructors can select the ideal topics for their courses.

Additional Product Information

Features and Benefits

  • Accessibility: Emphasizing problem-solving skills, the variety of applications-oriented examples and exercises connect the material to students' lives. "...in the Real World" feature incorporates specific chapter material into a real-world context. The authors have an accessible writing style that engages students and retains their interest.
  • Usability: This book is user friendly. The examples do not skip steps; key points are boxed for emphasis; procedures are given step-by-step, making them easier to follow and understand; and an abundance of exposition is provided.
  • History: Students see the human side of mathematics as the history of the subject matter is interwoven throughout most chapters. In addition, "Historical Notes" give in-depth biographies of the prominent people involved.
  • Flexibility: The text offers an assortment of content to choose from. The chapters are independent of each other so instructors can select the ideal topics for their courses.
  • Topic X Real World Connections: The "Topic X . . ." feature incorporates specific chapter material into a real-world context.
  • Design: An eye-catching design, including color art and photos, livens the appearance of the text. Color is used pedagogically in figures and examples, helping to convey the mathematics and elevating students' understanding of the material.

Table of Contents

Preface.
1. LOGIC.
Deductive Logic versus Inductive Logic. Symbolic Logic. Truth Tables. More on Conditionals. Analyzing Arguments. Chapter 1 Review.
2. SETS AND COUNTING.
Sets and Set Operations. Applications of Venn Diagrams. Introduction to Combinatorics. Permutations and Combinations. Infinite Sets. Chapter 2 Review.
3. PROBABILITY.
History of Probability. Basic Terms of Probability. Basic Rules of Probability. Combinatorics and Probability. Expected Value. Conditional Probability. Independence; Trees in Genetics. Chapter 3 Review.
4. STATISTICS.
Population, Sample, and Data. Measures of Central Tendency. Measures of Dispersion. The Normal Distribution. Polls and Margin of Error. Linear Regression. Chapter 4 Review.
5. FINANCE.
Simple Interest. Compound Interest. Annuities. Amortized Loans. Annual Percentage Rate with a TI's TVM Application. Payout Annuities. Chapter 5 Review.
6. VOTING AND APPORTIONMENT.
Voting Systems. Methods of Apportionment. Flaws of Apportionment. Chapter 6 Review.
7. NUMBER SYSTEMS AND NUMBER THEORY.
Place Systems. Addition and Subtraction in Different Bases. Multiplication and Division in Different Bases. Prime Numbers and Perfect Numbers. Fibonacci Numbers and the Golden Ratio. Chapter 7 Review.
8. GEOMETRY
Perimeter and Area. Volume and Surface Area. Egyptian Geometry. The Greeks. Right Triangle Trigonometry. Linear Perspective. Conic Sections and Analytic Geometry. Non-Euclidean Geometry. Fractal Geometry. The Perimeter and Area of a Fractal. Chapter 8 Review.
9. GRAPH THEORY.
A Walk through Königsberg. Graphs and Euler Trails. Hamilton Circuits. Networks. Scheduling. Chapter 9 Review.
10. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Review of Exponentials and Logarithms. Review of Properties of Logarithms. Exponential Growth. Exponential Decay. Logarithmic Scales. Chapter 10 Review.
11. MATRICES AND MARKOV CHAINS.
Review of Matrices. Introduction to Markov Chains. Systems of Linear Equations. Long-Range Predictions with Markov Chains. Solving Larger Systems of Equations. More on Markov Chains. Chapter 11 Review.
12. LINEAR PROGRAMMING.
Review of Linear Inequalities. The Geometry of Linear Programming. Chapter 12 Review.
12. LINEAR PROGRAMMING (ONLINE).
Introduction to the Simplex Method. The Simplex Method: Complete Problems. Chapter 12 Review.
13. THE CONCEPTS AND HISTORY OF CALCULUS (ONLINE).
Review of Rations, Parabolas, and Functions. The Antecedents of Calculus. Four Problems. Newton and Tangent Lines. Newton on Falling Objects and the Derivative. The Trajectory of a Cannonball. Newton and Areas. Conclusion. Chapter 13 Review.
APPENDIXES.
Appendix A.
Appendix B Using a Graphing Calculator.
Appendix C Graphing with a Graphing Calculator.
Appendix D Finding Points of Intersection with a Graphing Calculator.
Appendix E Dimensional Analysis.
Appendix F Body Table for the Standard Normal Distribution.
Index.

What's New

  • New! New section on Fair Division in Chapter 6 has been added.
  • New! Lecture Videos by Dana Mosley ideal for promoting individual study and review and help support students in online courses.
  • Updated! Examples, exercises, and articles have been updated and added with current real-world data and issues.
  • New material has been added connecting math and art.
  • Chapter openers have been updated.

Learning Resource Bundles

Choose the textbook packaged with the resources that best meet your course and student needs. Contact your Learning Consultant for more information.

Bundle: Text + Student Solutions Manual

ISBN-10: 1111650047  | ISBN-13: 9781111650049

List Price = $423.95  | College Bookstore Wholesale Price = $318.75

This Bundle Includes:

  • Mathematics: A Practical Odyssey
    List Price = $314.95  | CengageBrain Price = $314.95  | College Bookstore Wholesale Price = $236.50
  • Student Solutions Manual
    List Price = $115.95  | College Bookstore Wholesale Price = $87.00


Bundle: Text + Enhanced WebAssign - Start Smart Guide for Students + Enhanced WebAssign Homework with eBook Printed Access Card for One Term Math and Science

ISBN-10:  1111650055  | ISBN-13:  9781111650056

List Price = $320.95  | CengageBrain Price = $320.95  | College Bookstore Wholesale Price = $241.50

This Bundle Includes:

  • Mathematics: A Practical Odyssey
    List Price = $314.95  | CengageBrain Price = $314.95  | College Bookstore Wholesale Price = $236.50
  • Enhanced WebAssign - Start Smart Guide for Students
    List Price = $50.95  | CengageBrain Price = $50.95  | College Bookstore Wholesale Price = $38.25
  • Enhanced WebAssign. 1 term (6 months) Printed Access Card for Liberal Arts Math & Teacher Math, Single-Term Courses
    List Price = $94.00  | College Bookstore Wholesale Price = $70.50


Bundle: Text + Math CourseMate with eBook Printed Access Card

ISBN-10:  1133023185  | ISBN-13:  9781133023180

List Price = $327.95  | College Bookstore Wholesale Price = $246.50

This Bundle Includes:

  • Mathematics: A Practical Odyssey
    List Price = $314.95  | CengageBrain Price = $314.95  | College Bookstore Wholesale Price = $236.50
  • Math CourseMate with eBook, 2 terms (12 months) Printed Access Card Printed Access Card
    List Price = $251.00  | College Bookstore Wholesale Price = $188.00


Printed Text + Enhanced WebAssign Instant Access for Liberal Arts Math & Teacher Math, Single-Term Courses

ISBN-10:  1337068489 | ISBN-13:  9781337068482

List Price = $320.95  | College Bookstore Wholesale Price = $241.50

This Bundle Includes:

  • Enhanced WebAssign Instant Access for Liberal Arts Math & Teacher Math, Single-Term Courses
    List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00
  • Mathematics: A Practical Odyssey
    List Price = $314.95  | CengageBrain Price = $314.95  | College Bookstore Wholesale Price = $236.50


Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

Math CourseMate with eBook, 2 terms (12 months) Instant Access  (ISBN-10: 1133001130 | ISBN-13: 9781133001133)

Cengage Learning's CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Maximize your course success with the integrated eBook and chapter-specific learning tools that include flashcards, quizzes, videos, and more in your CourseMate. Key Features: Interactive eBook, Engagement Tracker, Learning Objectives, Tutorial Quizzes, Glossary and Flashcards, and Web Links and References.

List Price = $251.00  | CengageBrain Price = $251.00  | College Bookstore Wholesale Price = $251.00

PowerLecture with ExamView®  (ISBN-10: 0840054114 | ISBN-13: 9780840054111)

This CD-ROM provides the instructor with dynamic media tools for teaching. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic Equations. Easily build solution sets for homework or exams using Solution Builder's online solutions manual. Microsoft® PowerPoint® lecture slides and figures from the book are also included on this CD-ROM.

Solution Builder  (ISBN-10: 0495915564 | ISBN-13: 9780495915560)

This online instructor database offers complete worked solutions to all exercises in the text, allowing you to create customized, secure solutions printouts (in PDF format) matched exactly to the problems you assign in class. www.cengage.com/solutionbuilder

Enhanced WebAssign - Start Smart Guide for Students  (ISBN-10: 0495384798 | ISBN-13: 9780495384793)

This guide helps students navigate Enhanced WebAssign. It includes instructions on how to use the Assignment page and its Summary, tips on using MathPad for providing easy input of math notation and symbols, an overview of the Graphing Utility's drawing tools for completing graphing assignments, and information on how to access grades and scores summary.

List Price = $50.95  | CengageBrain Price = $50.95  | College Bookstore Wholesale Price = $38.25

Enhanced WebAssign Instant Access for Liberal Arts Math & Teacher Math, Single-Term Courses  (ISBN-10: 1285858034 | ISBN-13: 9781285858036)

IMPORTANT: When purchasing this instant access code for Liberal Arts Math & Teacher Math, ensure that you are using it in one of the following courses: Mathematical Excursions, Topics in Contemporary Mathematics, Elementary Technical Mathematics, Mathematics for Teachers or Math for Liberal Arts. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Conquering Math Anxiety  (ISBN-10: 0495829404 | ISBN-13: 9780495829409)

This third edition of Arem's CONQUERING MATH ANXIETY workbook presents a comprehensive, multifaceted treatment approach to reduce math anxiety and math avoidance. The author offers tips on specific strategies, as well as relaxation exercises. The book's major focus is to encourage students to take action. Hands-on activities help readers explore both the underlying causes of their problem and viable solutions. Many activities are followed by illustrated examples completed by other students. The free accompanying CD contains recordings of powerful relaxation and visualization exercises for reducing math anxiety.

List Price = $112.95  | CengageBrain Price = $112.95  | College Bookstore Wholesale Price = $85.00

Student Supplements

Math CourseMate with eBook, 2 terms (12 months) Instant Access  (ISBN-10: 1133001130 | ISBN-13: 9781133001133)

Cengage Learning's CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Access an integrated eBook, learning tools including flashcards, quizzes, and more, all designed specifically to work with MATHEMATICS: A PRACTICAL ODYSSEY, 7th Edition.

List Price = $251.00  | CengageBrain Price = $251.00  | College Bookstore Wholesale Price = $251.00

Enhanced WebAssign - Start Smart Guide for Students  (ISBN-10: 0495384798 | ISBN-13: 9780495384793)

If your instructor has chosen to package Enhanced WebAssign with your text, this manual will help you get up and running quickly with the Enhanced WebAssign system so you can study smarter and improve your performance in class.

List Price = $50.95  | CengageBrain Price = $50.95  | College Bookstore Wholesale Price = $38.25

Enhanced WebAssign Instant Access for Liberal Arts Math & Teacher Math, Single-Term Courses  (ISBN-10: 1285858034 | ISBN-13: 9781285858036)

IMPORTANT: When purchasing this instant access code for Liberal Arts Math & Teacher Math, ensure that you are using it in one of the following courses: Mathematical Excursions, Topics in Contemporary Mathematics, Elementary Technical Mathematics, Mathematics for Teachers or Math for Liberal Arts. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Conquering Math Anxiety  (ISBN-10: 0495829404 | ISBN-13: 9780495829409)

This third edition of Arem's CONQUERING MATH ANXIETY workbook presents a comprehensive, multifaceted approach to reduce math anxiety and math avoidance.

List Price = $112.95  | CengageBrain Price = $112.95  | College Bookstore Wholesale Price = $85.00

Meet the Author

Author Bio

David B. Johnson

David Johnson earned a Bachelor's degree in Mathematics and a Bachelor's degree in Psychology (with an emphasis on Learning Theory), from the University of California at Santa Cruz, and a Master's degree in Mathematics from the University of California at Berkeley. After several years working as an academic counselor at Berkeley, he became a Professor of Mathematics at Diablo Valley College (DVC). He has taught DVC's liberal arts math course regularly for about 25 years, using Mathematics a Practical Odyssey. Other favorite courses include Intermediate Algebra, all three semesters of Calculus, and Differential Equations.

Thomas A. Mowry

Thomas Mowry earned a Bachelor's degree and a Master's degree in Mathematics from Michigan Technological University, in Houghton, Michigan. He began his college teaching career at City College of San Francisco and then went on to teach at San Francisco State University, Golden Gate University, and Cogswell College. He has been a professor of mathematics at Diablo Valley College, Pleasant Hill, California since 1985, where he has taught the complete gamut of courses from arithmetic to differential equations. He has served as department chair at DVC for the last seven years. Along with co-author, David Johnson, he created a college-level, transferable mathematics course (at DVC ) designed for students in the liberal arts. As no appropriate textbooks were available for this course, he and David created Mathematics: A Practical Odyssey, which was first published in 1992.