Table of Contents

• The Art of Problem Solving

• 1.1 Solving Problems by Inductive Reasoning
• 1.2 An Application of Inductive Reasoning: Number Patterns
• 1.3 Strategies for Problem Solving
• 1.4 Numeracy in Today''s World
• CHAPTER 1 SUMMARY
• CHAPTER 1 TEST

• The Basic Concepts of Set Theory

• 2.1 Symbols and Terminology
• 2.2 Venn Diagrams and Subsets
• 2.3 Set Operations
• 2.4 Surveys and Cardinal Numbers
• CHAPTER 2 SUMMARY
• CHAPTER 2 TEST

• Introduction to Logic

• 3.1 Statements and Quantifiers
• 3.2 Truth Tables and Equivalent Statements
• 3.3 The Conditional and Circuits
• 3.4 The Conditional and Related Statements
• 3.5 Analyzing Arguments with Euler Diagrams
• 3.6 Analyzing Arguments with Truth Tables
• CHAPTER 3 SUMMARY
• CHAPTER 3 TEST

• Numeration Systems

• 4.1 Historical Numeration Systems
• 4.2 More Historical Numeration Systems
• 4.3 Arithmetic in the Hindu-Arabic System
• 4.4 Conversion Between Number Bases
• CHAPTER 4 SUMMARY
• CHAPTER 4 TEST

• Number Theory

• 5.1 Prime and Composite Numbers
• 5.2 Large Prime Numbers
• 5.3 Selected Topics from Number Theory
• 5.4 Greatest Common Factor and Least Common Multiple
• 5.5 The Fibonacci Sequence and the Golden Ratio
• 5.6 Magic Squares (online)*
• CHAPTER 5 SUMMARY
• CHAPTER 5 TEST

• The Real Numbers and Their Representations

• 6.1 Real Numbers, Order, and Absolute Value
• 6.2 Operations, Properties, and Applications of Real Numbers
• 6.3 Rational Numbers and Decimal Representation
• 6.4 Irrational Numbers and Decimal Representation
• 6.5 Applications of Decimals and Percents
• CHAPTER 6 SUMMARY
• CHAPTER 6 TEST

• The Basic Concepts of Algebra

• 7.1 Linear Equations
• 7.2 Applications of Linear Equations
• 7.3 Ratio, Proportion, and Variation
• 7.4 Linear Inequalities
• 7.5 Properties of Exponents and Scientific Notation
• 7.6 Polynomials and Factoring
• 7.7 Quadratic Equations and Applications
• CHAPTER 7 SUMMARY
• CHAPTER 7 TEST

• Graphs, Functions, and Systems of Equations and Inequalities

• 8.1 The Rectangular Coordinate Systems and Circles
• 8.2 Lines, Slope, and Average Rate of Change
• 8.3 Equations of Lines
• 8.4 Linear Functions, Graphs, and Models
• 8.5 Quadratic Functions, Graphs, and Models
• 8.6 Exponential and Logarithmic Functions, Graphs, and Models
• 8.7 Systems of Linear Equations
• 8.8 Applications of Linear Systems
• 8.9 Linear Inequalities, Systems, and Linear Programming
• CHAPTER 8 SUMMARY
• CHAPTER 8 TEST

• Geometry

• 9.1 Points, Lines, Planes, and Angles
• 9.2 Curves, Polygons, Circles, and Geometric Constructions
• 9.3 The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem
• 9.4 Perimeter, Area, and Circumference
• 9.5 Volume and Surface Area
• 9.6 Transformational Geometry
• 9.7 Non-Euclidian Geometry and Topology
• 9.8 Chaos and Fractal Geometry
• CHAPTER 9 SUMMARY
• CHAPTER 9 TEST

• Counting Methods

• 10.1 Counting by Systematic Listing
• 10.2 Using the Fundamental Counting Principle
• 10.3 Using Permutations and Combinations
• 10.4 Using Pascal''s Triangle
• 10.5 Counting Problems Involving "Not" and "Or"
• CHAPTER 10 SUMMARY
• CHAPTER 10 TEST

• Probability

• 11.1 Basic Concepts
• 11.2 Events Involving "Not" and "Or"
• 11.3 Conditional Probability and Events Involving "And"
• 11.4 Binomial Probability
• 11.5 Expected Value and Simulation
• CHAPTER 11 SUMMARY
• CHAPTER 11 TEST

• Statistics

• 12.1 Visual Displays of Data
• 12.2 Measures of Central Tendency
• 12.3 Measures of Dispersion
• 12.4 Measures of Position
• 12.5 The Normal Distribution
• CHAPTER 12 SUMMARY
• CHAPTER 12 TEST

• Personal Financial Management

• 13.1 The Time Value of Money
• 13.2 Consumer Credit
• 13.3 Truth in Lending
• 13.4 The Costs and Advantages of Home Ownership
• 13.5 Financial Investments
• CHAPTER 13 SUMMARY

• Graph Theory

• 14.1 Basic Concepts
• 14.2 Euler Circuits and Route Planning
• 14.3 Hamilton Circuits and Algorithms
• 14.4 Trees and Minimum Spanning Trees
• CHAPTER 14 SUMMARY
• CHAPTER 14 TEST

• Voting and Apportionment

• 15.1 The Possibilities of Voting
• 15.2 The Impossibilities of Voting
• 15.3 The Possibilities of Apportionment
• 15.4 The Impossibilities of Apportionment
• CHAPTER 15 SUMMARY
• CHAPTER 15 TEST

ANSWERS TO SELECTED EXERCISES (Annotated Instructor''s Edition only)

ANSWERS TO SELECTED EXERCISES (Student Edition Only)

CREDITS

INDEX OF APPLICATIONS

INDEX