## Description

**Using and Understanding Mathematics: A Quantitative Reasoning Approach, Fifth Edition **increases readers’ mathematical literacy so that they better understand the mathematics used in their daily lives, and can use math effectively to make better decisions every day. Contents are organized with that in mind, with engaging coverage in sections like Taking Control of Your Finances, Dividing the Political Pie, and a full chapter about Mathematics and the Arts.

Note: This is the standalone book, if you want the book with the Access Card please order the ISBN below:

0321727746 / 9780321727749 Using and Understanding Mathematics: A Quantitative Reasoning Approach with MathXL (12-month access) *

Package consists of

0201716305 / 9780201716306 MathXL -- Valuepack Access Card (12-month access)

0321652797 / 9780321652799 Using and Understanding Mathematics: A Quantitative Reasoning Approach

## 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
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