## Table of Contents

Preface

Acknowledgments

Prologue: Literacy for the Modern World

**PART ONE: LOGIC AND PROBLEM SOLVING**

**1. Thinking Critically**

1A Living in the Media Age

1B Propositions and Truth Values

1C Sets and Venn Diagrams

1D Analyzing Arguments

1E Critical Thinking in Everyday Life

**2. Approaches to Problem Solving**

2A Working with Units

2B Problem-Solving with Units

2C Problem-Solving Guidelines and Hints

**PART TWO: QUANTITATIVE INFORMATION IN EVERYDAY LIFE**

**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 Can Deceive: Polygraphs, Mammograms, and More

**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 THREE: PROBABILITY AND STATISTICS**

**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

**6. Putting Statistics to Work**

6A Characterizing Data

6B Measures of Variation

6C The Normal Distribution

6D Statistical Inference

**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 FOUR: MODELING**

**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

**9. Modeling Our World**

9A Functions: The Building Blocks of Mathematical Models

9B Linear Modeling

9C Exponential Modeling

**10. Modeling with Geometry**

10A Fundamentals of Geometry

10B Problem Solving with Geometry

10C Fractal Geometry

**PART FIVE: FURTHER APPLICATIONS**

**11. Mathematics and the Arts**

11A Mathematics and Music

11B Perspective and Symmetry

11C Proportion and the Golden Ratio

**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

Credits

Answers

Index