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Tables of Contents for Essentials of Using and Understanding Mathematics
Chapter/Section Title
Page #
Page Count
Preface
ix
Prologue: Literacy for the Modern World
1
12
Part 1 Logic and Problem Solving
Thinking Critically
13
56
Recognizing Fallacies
14
7
Propositions and Truth Values
21
14
Sets and Venn Diagrams
35
19
A Brief Review: Sets of Numbers
36
18
Critical Thinking in Everyday Life
54
15
Approaches to Problem Solving
69
48
The Problem-Solving Power of Units
70
17
A Brief Review: Working with Fractions
72
15
Standardized Units: More Problem-Solving Power
87
14
A Brief Review: Powers of 10
91
10
Problem-Solving Guidelines and Hints
101
16
Part 2 Quantitative Information in Everyday Life
Numbers in the Real World
117
60
Uses and Abuses of Percentages
118
18
A Brief Review: Percentages
119
6
A Brief Review: What Is a Ratio?
125
11
Putting Numbers in Perspective
136
15
A Brief Review: Working with Scientific Notation
137
14
Dealing with Uncertainty
151
13
A Brief Review: Rounding
153
11
How Numbers Deceive: Polygraphs, Mammograms, and More
164
13
Financial Management
177
46
The Power of Compounding
178
16
A Brief Review: Three Basic Rules of Algebra
189
5
Savings Plans
194
11
A Brief Review: Algebra with Powers and Roots
200
5
Loan Payments, Credit Cards, and Mortgages
205
18
Part 3 Probability and Statistics
Statistical Reasoning
223
80
Fundamentals of Statistics
224
15
Should You Believe a Statistical Study?
239
10
Statistical Tables and Graphs
249
12
Graphics in the Media
261
15
Correlation and Causality
276
14
Characterizing a Data Distribution
290
13
Probability: Living With the Odds
303
48
Fundamentals of Probability
304
12
A Brief Review: The Multiplication Principle
307
9
Combining Probabilities
316
10
The Law of Averages
326
11
Counting and Probability
337
14
A Brief Review: Factorials
340
11
Part 4 Modeling
Exponential Astonishment
351
36
Growth: Linear Versus Exponential
352
8
Doubling Time and Half-Life
360
11
A Brief Review: Logarithms
367
4
Exponential Modeling
371
16
A Brief Review: Algebra with Logarithms
373
14
Part 5 Further Applications
Mathematics and the Arts
387
32
Mathematics and Music
388
7
Perspective and Symmetry
395
14
Proportion and the Golden Ratio
409
10
Mathematics and Politics
419
34
Voting: Does the Majority Always Rule?
420
14
Apportionment: The House of Representatives and Beyond
434
19