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Using and Understanding Mathematics

Using and Understanding Mathematics - 4th edition

ISBN13: 978-0321458209

Cover of Using and Understanding Mathematics 4TH 08 (ISBN 978-0321458209)
ISBN13: 978-0321458209
ISBN10: 0321458206

Cover type: Hardback
Edition: 4TH 08
Copyright: 2008
Publisher: Addison-Wesley Longman, Inc.
Published: 2008
International: No

List price: $142.75

Using and Understanding Mathematics - 4TH 08 edition

ISBN13: 978-0321458209

Jeffrey Bennett and William L. Briggs

ISBN13: 978-0321458209
ISBN10: 0321458206

Cover type: Hardback
Edition: 4TH 08
Copyright: 2008
Publisher: Addison-Wesley Longman, Inc.
Published: 2008
International: No

Most students taking this course do so to fulfill a requirement, but the true benefit of the course is learning how to use and understand mathematics in daily life. This quantitative reasoning text is written expressly for those students, providing them with the mathematical reasoning and quantitative literacy skills they'll need to make good decisions throughout their lives. Common-sense applications of mathematics engage students while underscoring the practical, essential uses of math.


  • Practical Matters. Focusing on matters of high practical importance, this feature highlights common-sense applications of math such as avoiding credit card trouble and spotting a bad cell phone deal.
  • A Brief Review. This feature reviews key mathematical skills students should have learned previously, but which many students still need review and practice. They appear in the book wherever a particular skill is first needed, and exercises based on the review boxes can be found at the end of the unit.
  • Thinking About. Building upon the main narrative, this feature reaches beyond to a deeper level of mathematical understanding. Examples include boxes on the proof of the Pythagorean theorem and on Zeno's paradox.
  • Time Out to Think. Appearing throughout the book, the Time Out to Think features pose short conceptual questions designed to help students reflect on important new ideas. They also serve as excellent starting points for classroom discussions.
  • Margin Features. A wide margin leaves room for students to make notes while studying. The margin also contains material that spurs student interest in three basic forms:
    • By the Way features contain interesting notes and asides relevant to the topic at hand
    • Historical Note remarks give historical context to the ideas presented in the chapter
    • Technical Notes contain details that are important mathematically for students looking for more depth
  • Now Try Exercises. At the end of every in-text example students are directed to Now Try a specific exercise, immediately testing their comprehension of the material.
  • Does It Make Sense? These qualitative exercise questions test conceptual understanding by asking whether given statements are sensible and asking students to explain why or why not.
  • Basic Skills and Concepts. Covering concepts from the unit, these exercises can be used for homework assignments or for self-study. Answers to most odd-numbered exercises appear in the back of the book.
  • Web Projects. The Web Projects require students to search for data or other information online. They can be used for extended projects, discussions, group activities, or essays.
  • In the News. In these exercises, students are challenged to find examples of unit concepts in the news or in their daily lives. These questions may be assigned as homework or used for class discussions.

Table of Contents

Table of Contents


Prologue: Literacy for the Modern World

Part 1 Logic and Problem Solving

Chapter 1 Thinking Critically

1A Recognizing Fallacies

1B Propositions and Truth Values

1C Sets and Venn Diagrams

1D Analyzing Arguments

1E Critical Thinking in Everyday Life

Chapter 2 Approaches to Problem Solving

2A The Problem-Solving Power of Units

2B Standardized Units: More Problem-Solving Power

2C Problem-Solving Guidelines and Hints

Part 2 Quantitative Information in Everyday Life

Chapter 3 Numbers in the Real World

3A Uses and Abuses of Percentages

3B Putting Numbers in Perspective

3C Dealing with Uncertainty

3D Index Numbers: The CPI and Beyond

3E How Numbers Deceive: Polygraphs, Mammograms, and More

Chapter 4 Managing Money

4A Taking Control of Your Finances

4B The Power of Compounding

4C Savings Plans and Investments

4D Loan Payments, Credit Cards, and Mortgages

4E Income Taxes

4F Understanding the Federal Budget

Part 3 Probability and Statistics

Chapter 5 Statistical Reasoning

5A Fundamentals of Statistics

5B Should You Believe a Statistical Study?

5C Statistical Tables and Graphs

5D Graphics in the Media

5E Correlation and Causality

Chapter 6 Putting Statistics to Work

6A Characterizing Data

6B Measures of Variation

6C The Normal Distribution

6D Statistical Inference

Chapter 7 Probability: Living with the Odds

7A Fundamentals of Probability

7B Combining Probabilities

7C The Law of Large Numbers

7D Assessing Risk

7E Counting and Probability

Part 4 Modeling

Chapter 8 Exponential Astonishment

8A Growth: Linear versus Exponential

8B Doubling Time and Half-Life

8C Real Population Growth

8D Logarithmic Scales: Earthquakes, Sounds, and Acids

Chapter 9 Modeling Our World

9A Functions: The Building Blocks of Mathematical Models

9B Linear Modeling

9C Exponential Modeling

Chapter 10 Modeling with Geometry

10A Fundamentals of Geometry

10B Problem Solving with Geometry

10C Fractal Geometry

Part 5 Further Applications

Chapter 11 Mathematics and the Arts

11A Mathematics and Music

11B Perspective and Symmetry

11C Proportion and the Golden Ratio

Chapter 12 Mathematics and Politics

12A Voting: Does the Majority Always Rule?

12B Theory of Voting

12C Apportionment: The House of Representatives and Beyond

12D Dividing the Political Pie