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Mathematics: A Practical Odyssey 7th Edition

David B. Johnson, Thomas A. Mowry

  • Published
  • Previous Editions 2007, 2007, 2004
  • 1024 Pages
Starting At 90.00 See pricing and ISBN options

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.

David B. Johnson, Diablo Valley College

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, Diablo Valley College

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.
  • 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.
  • 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.
  • 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.
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.
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  • ISBN-10: 1337766313
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Student Solutions Manual

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This manual contains worked-out solutions to all of the odd-numbered exercises in the text, giving you a way to check

FOR STUDENTS

Student Solutions Manual

ISBN: 9781305108639
This manual contains worked-out solutions to all of the odd-numbered exercises in the text, giving you a way to check