## Table of Contents

Preface

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

Credits

Answers

Index