Note: Each chapter concludes with a Summary, Research Questions, a Practice Test, and Answers to Practice Test | |

Problem Solving | |

Inductive Reasoning | |

Estimation: A Problem-Solving Tool | |

Graph Interpretation: A Problem-Solving Tool | |

Sets | |

Sets: A Problem-Solving Tool | |

Set Operations | |

Venn Diagrams | |

The Number of Elements in a Set: A Problem-Solving Tool | |

Infinite Sets | |

Logic | |

Statements | |

Truth Tables: A Problem-Solving Tool | |

The Conditional and the Biconditional | |

Variations of the Conditional and Implications | |

Euler Diagrams: A Problem-Solving Tool | |

Truth Tables and Validity of Arguments | |

Switching Networks: A Problem-Solving Tool | |

Numeration Systems | |

Egyptian, Babylonian, and Roman Numeration Systems | |

The Hindu-Arabic (Decimal) System | |

Number Systems with Bases Other Than 10 | |

Binary Arithmetic | |

Octal and Hexadecimal Arithmetic | |

Number Theory and the Real Numbers | |

Number Theory: Primes and Composites | |

Whole Numbers, Integers, and Order of Operations | |

The Rational Numbers | |

Decimals, Scientific Notation, Significant Digits | |

Rationals as Decimals: Percents | |

Real Numbers, Square Roots, and Decimal Representation | |

Radicals | |

Number Sequences | |

Equations, Inequalities, and Problem Solving | |

Solutions of First-Degree Sentences | |

Graphs of Algebraic Sentences | |

Sentences Involving Absolute Values | |

Quadratic Equations | |

Modeling and Problem Solving | |

Ratio, Proportion, and Variation | |

Functions and Graphs | |

Graphing Relations and Functions | |

Linear Functions, Relations, and Applications | |

Slopes and Equations of a Line | |

Quadratic Functions and Their Graphs | |

Exponential and Logarithmic Functions | |

Two Linear Equations in Two Variables | |

Linear Inequalities | |

Linear Programming | |

Geometry | |

Points, Lines, Planes, and Angles | |

Triangles and Other Polygons | |

Perimeter and Circumference | |

Area Measure and the Pythagorean Theorem | |

Volume and Surface Area | |

Networks, Non-Euclidean Geometry, and Topology | |

Chaos and Fractals | |

Mathematical Systems and Matrices | |

Matrix Operations | |

Solving Systems of Linear Equations with Matrices | |

Clock and Modular Arithmetic | |

Abstract Mathematical Systems: Groups and Fields | |

Game Theory | |

Counting Techniques | |

The Sequential Counting Principle (SCP): A Problem-Solving Tool | |

Permutations | |

Combinations | |

Miscellaneous Counting Methods | |

Probability | |

Sample Spaces and Probability | |

Counting Techniques and Probability | |

Computation of Probabilities | |

Conditional Probability | |

Independent Events | |

Odds and Mathematical Expectation | |

Statistics | |

Sampling and Frequency Distributions | |

Measures of Central Tendency: The Mean, Median, and Mode | |

Measures of Dispersion: The Range and Standard Deviation | |

The Normal Distribution: A Problem-Solving Tool | |

Statistical Graphs: A Problem-Solving Tool | |

Making Predictions: Linear Regression | |

Scattergrams and Correlation | |

Your Money and Your Math | |

Interest, Taxes, and Discounts | |

Credit Cards and Consumer Credit | |

Annual Percentage Rate (APR) and the Rule of 78 | |

Buying a House | |

Voting and Apportionment | |

Voting Systems | |

Voting Objections | |

Apportionment Methods | |

Apportionment Objections | |

Graph Theory | |

Introduction to Graph Theory | |

Euler Paths and Euler Circuits | |

Hamilton Paths and Hamilton Circuits | |

Trees Appendix: The Metric System | |

Answers to Odd-Numbered Problems | |

Research Bibliography | |

Acknowledgments | |

Photo Credits | |

Index | |

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