Get More (Free) Content viii
Foreword xi
Part I Preliminaries 1
Chapter 1 Introduction 3
Greetings 4
What Is Quantitative Reasoning? 5
Chapter 2 How to Study Math 15
Do More Than Read 17
Do More Than Memorize 18
Keep the Pencil Nearby 20
Work with All Kinds of Numbers 21
The First Step Is Enough to Get Started 23
How Many Ways Can You Solve It? 24
Learn from Mistakes 29
Don't Get Frustrated 30
Part II Let's Talk About Some Math 31
Chapter 3 Number Systems 33
Natural Numbers 34
Negative Numbers 36
Fractions 37
Real Numbers 39
Relational Operators 42
Chapter 4 Basic Operations with Numbers 47
Addition 49
Subtraction 58
Multiplication 60
Division 66
Exponents and Roots 68
Order of Operations 71
Let's Give It a Try 74
A Quick Thought about this Section 75
Part III Quantitative Reasoning 77
Chapter 5 What to Look For 79
Look for Order 80
Look for Patterns 84
Look for Symmetry 90
Chapter 6 What to Do 105
Translate from Words to Symbols 106
Apply Properties and Formulas to New Situations 118
Work with Abstract Concepts 128
Use Deductive Reasoning 140
Use Examples and Counterexamples 150
Consider Different Cases 159
Part IV Glossary of Math Terms 165