Table of contents

Table of contents :
Cover
Contents
Preface
AIM for Success
Ch 1: Problem Solving
1.1 Inductive and Deductive Reasoning
1.2 Problem Solving with Patterns
1.3 Problem-Solving Strategies
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Test
Ch 2: Sets
2.1 Basic Properties of Sets
2.2 Complements, Subsets, and Venn Diagrams
2.3 Set Operations
2.4 Applications of Sets
2.5 Infinite Sets
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Test
Ch 3: Logic
3.1 Logic Statements and Quantifiers
3.2 Truth Tables, Equivalent Statements, and Tautologies
3.3 The Conditional and the Biconditional
3.4 The Conditional and Related Statements
3.5 Symbolic Arguments
3.6 Arguments and Euler Diagrams
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Test
Ch 4: Apportionment and Voting
4.1 Introduction to Apportionment
4.2 Introduction to Voting
4.3 Weighted Voting Systems
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Test
Ch 5: The Mathematics of Graphs
5.1 Graphs and Euler Circuits
5.2 Weighted Graphs
5.3 Planarity and Euler’s Formula
5.4 Graph Coloring
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Test
Ch 6: Numeration Systems and Number Theory
6.1 Early Numeration Systems
6.2 Place-Value Systems
6.3 Different Base Systems
6.4 Arithmetic in Different Bases
6.5 Prime Numbers
6.6 Topics from Number Theory
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Test
Ch 7: Measurement and Geometry
7.1 Measurement
7.2 Basic Concepts of Euclidean Geometry
7.3 Perimeter and Area of Plane Figures
7.4 Properties of Triangles
7.5 Volume and Surface Area
7.6 Right Triangle Trigonometry
7.7 Non-Euclidean Geometry
7.8 Fractals
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Test
Ch 8: Mathematical Systems
8.1 Modular Arithmetic
8.2 Applications of Modular Arithmetic
8.3 Introduction to Group Theory
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Test
Ch 9: Applications of Equations
9.1 First-Degree Equations and Formulas
9.2 Rate, Ratio, and Proportion
9.3 Percent
9.4 Second-Degree Equations
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Test
Ch 10: Applications of Functions
10.1 Rectangular Coordinates and Functions
10.2 Properties of Linear Functions
10.3 Finding Linear Models
10.4 Quadratic Functions
10.5 Exponential Functions
10.6 Logarithmic Functions
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Test
Ch 11: The Mathematics of Finance
11.1 Simple Interest
11.2 Compound Interest
11.3 Credit Cards and Consumer Loans
11.4 Stocks, Bonds, and Mutual Funds
11.5 Home Ownership
Chapter 11 Summary
Chapter 11 Review Exercises
Chapter 11 Test
Ch 12: Combinatorics and Probability
12.1 The Counting Principle
12.2 Permutations and Combinations
12.3 Probability and Odds
12.4 Addition and Complement Rules
12.5 Conditional Probability
12.6 Expectation
Chapter 12 Summary
Chapter 12 Review Exercises
Chapter 12 Test
Ch 13: Statistics
13.1 Measures of Central Tendency
13.2 Measures of Dispersion
13.3 Measures of Relative Position
13.4 Normal Distributions
13.5 Linear Regression and Correlation
Chapter 13 Summary
Chapter 13 Review Exercises
Chapter 13 Test
Solutions to Check Your Progress Problems
Answers to Selected Exercises
Index of Applications
Index