Mathematics: A Practical Odyssey

  • AUTHORS: David B. Johnson; Thomas A. Mowry
  • ISBN-13: 9781305104174 
  • Grade(s): 9 | 10 | 11 | 12
  • 1024 Pages  Hardcover 
  • 8th Edition  |  Previous Editions: 2012
  • ©2016     Published
  • Prices are valid only in the respective region

Overview

About The Product

MATHEMATICS: A PRACTICAL ODYSSEY, 8th Edition 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 creative human aspect to students. To offer flexibility in content, the book contains more information than might be covered in a one-term course. In addition, the chapters are independent of each other, further enabling instructors to select the ideal topics for their courses.

Features

  • Meaningful: The variety of applications-oriented examples and exercises connect the material to the real world. The "Topic X. . .in the Real World" features incorporate specific chapter material into a real-world context, reinforcing the book's practical emphasis..
  • Accessible: This book has a reader-friendly style: the examples are well constructed, with easy-to-follow steps; key points are boxed for emphasis; and the discussions provided in the exposition demonstrate the utility of the content.
  • Flexible: 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.
  • Biographical: The history of the subject matter is interwoven throughout most chapters, allowing students to see the human side of mathematics. In addition, "Historical Notes" give in-depth biographies of prominent people whose contributions relate to the topics at hand.
  • For Added Enrichment: Projects and Hands On activities actively engage students, providing opportunities to try something first-hand or perform open-ended research.
  • Aesthetic: The textbook is beautifully illustrated. Art, photos, and fine art have been carefully selected. Color is also carefully used to enhance the pedagogy in figures and examples, helping to convey the mathematics and elevating students' understanding of the material.

About the Contributor

AUTHORS
  • 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.

Table of Contents

1. LOGIC.
Deductive versus Inductive Reasoning. Symbolic Logic. Truth Tables. More on Conditionals. Analyzing Arguments. Deductive Proof of Validity.
2. SETS AND COUNTING.
Sets and Set Operations. Applications of Venn Diagrams. Introduction to Combinatorics. Permutations and Combinations. Infinite Sets.
3. PROBABILITY.
History of Probability. Basic Terms of Probability. Basic Rules of Probability. Combinatorics and Probability. Expected Value. Conditional Probability. Independence; Medical Tests and Genetics.
4. STATISTICS.
Population, Sample, and Data. Measures of Central Tendency. Measures of Dispersion. The Normal Distribution. Polls and Margin of Error. Linear Regression.
5. FINANCE.
Simple Interest. Compound Interest. Annuities. Amortized Loans. Annual Percentage Rate with a TI-Calculator's TVM Application. Payout Annuities.
6. VOTING AND APPORTIONMENT.
Voting Systems. Methods of Apportionment. Flaws of Apportionment.
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.
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.
9. GRAPH THEORY.
A Walk through Köningsberg. Graphs and Euler Trails. Hamilton Circuits. Networks. Scheduling.
10. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Review of Exponentials and Logarithms. Review of Properties of Logarithms. Exponential Growth. Exponential Decay. Logarithmic Scales.
11. MARKOV CHAINS.
Review of Matrices. Review of Systems of Linear Equations. Markov Chains and Tree Diagrams. Markov Chains and Matrices. Long-Range Predictions with Markov Chains. Solving Larger Systems of Equations. More on Markov Chains.
12. LINEAR PROGRAMMING.
Review of Linear Inequalities. The Geometry of Linear Programming. Introduction to the Simplex Model.[online section only] The Simplex Method: Complete Problems. [online section only]
13. THE CONCEPTS AND HISTORY OF CALCULUS. [online chapter only]
Review of Ratios, 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.
APPENDICES.
A. Using a Scientific Calculator.
B. Using a Graphing Calculator.
C. Graphing with a Graphing Calculator.
D. Finding Points of Intersection with a Graphing Calculator.
E. Dimensional Analysis.
F. Body Table for the Standard Normal Distribution.
G. Answers.

New to this Edition

  • Chapter 1, "Logic," includes a new section on deductive proof of validity. In this section, elementary valid argument forms and common rules of replacement are developed; formal proofs of validity are then constructed by applying the basic rules of inference. The four standard form categorical proposition types are now included: the universal affirmative, the universal negative, the particular affirmative, and the particular negative. All conditional statements of the form "p implies q" now use standard terminology in which p is referred to as the "antecedent" and q the "consequent."
  • In Chapter 3, "Probability," hemophilia is now covered along with the other inherited diseases. The treatment of Simpson's paradox has been expanded.
  • In Chapter 4, "Statistics," the distinction between sample and population standard deviation is introduced and explored in new exercises. All real world data has been updated and expanded.
  • Chapter 5, "Finance," features a new focus on student finance, discussing such topics as student loans and maxed-out credit cards.
  • Chapter 7, "Number Systems and Number Theory," presents a new emphasis on how certain bases-including base four, base five, base eight, base ten, base twelve, and base twenty-correspond to humanity's use of different body parts in counting, and why base sixty is used to keep time and to measure angles.
  • Chapter 11, "Markov Chains," has been rewritten so that the material is more accessible, and so that review topics more closely reflect the authors' "just enough, just in time" approach. Specifically, the chapter begins with reviews of matrices and systems of linear equations, allowing students to brush up on concepts and skills "just in time" to use them in the rest of the chapter.
  • In many chapters, particularly in Chapter 3 on probability and Chapter 5 on finance, discussions and examples have been significantly streamlined and given more structure to support students.
  • "Rough checks" teach students how to determine if an answer is reasonable; that is, if it's "in the ballpark."

Components

Teacher Components

  • 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.
    Price = 90.00
  • Enhanced WebAssign® International Instant Access Code Homework with e-Book  (ISBN-10: 133729697X | ISBN-13: 9781337296977)
    Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive eBook, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.
    Price = 125.00
  • Enhanced WebAssign® International Instant Access Code Homework Only  (ISBN-10: 133729926X | ISBN-13: 9781337299268)
    Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback and rich tutorial content, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.
    Price = 125.00
  • Enhanced WebAssign® International Printed Access Card Homework with e-Book  (ISBN-10: 1337296961 | ISBN-13: 9781337296960)
    Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive eBook, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.
    Price = 93.75
  • Enhanced WebAssign® International Printed Access Card Homework Only  (ISBN-10: 1337299251 | ISBN-13: 9781337299251)
    Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content in this text with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback and rich tutorial content, helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems, supplemented if you wish with problems from any Cengage Learning textbook.
    Price = 93.75

Student Supplements

  • 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.
    Price = 90.00
  • Enhanced WebAssign® International Instant Access Code Homework with e-Book  (ISBN-10: 133729697X | ISBN-13: 9781337296977)
    Enhanced WebAssign® engages you with immediate feedback, rich tutorial content, and an interactive eBook, helping you to develop a deeper conceptual understanding of your subject matter.
    Price = 125.00
  • Enhanced WebAssign® International Instant Access Code Homework Only  (ISBN-10: 133729926X | ISBN-13: 9781337299268)
    Enhanced WebAssign® engages you with immediate feedback and rich tutorial content, helping you to develop a deeper conceptual understanding of your subject matter.
    Price = 125.00
  • Enhanced WebAssign® International Printed Access Card Homework with e-Book  (ISBN-10: 1337296961 | ISBN-13: 9781337296960)
    Enhanced WebAssign® engages you with immediate feedback, rich tutorial content, and an interactive eBook, helping you to develop a deeper conceptual understanding of your subject matter.
    Price = 93.75
  • Enhanced WebAssign® International Printed Access Card Homework Only  (ISBN-10: 1337299251 | ISBN-13: 9781337299251)
    Enhanced WebAssign® engages you with immediate feedback and rich tutorial content, helping you to develop a deeper conceptual understanding of your subject matter.
    Price = 93.75

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  • WebAssign 1 Term (6 Months) + Bound Book
    ISBN-10: 1305710436 | ISBN-13: 9781305710436
    Price = $187.50