Note: Each chapter concludes with a Chapter Summary, a Chapter Review, and a Chapter Test | |

Problem Solving | |

Inductive and Deductive Reasoning Excursion: The Game of Sprouts by John H. Conway | |

Problem Solving with Patterns Excursion: Polygonal Numbers | |

Problem-Solving Strategies Excursion: Routes on a Probability Demonstrator | |

Sets | |

Basic Properties of Sets Excursion: Fuzzy Sets | |

Subsets Excursion: Subsets and Complements of Fuzzy Sets | |

Set Operations Excursion: Union and Intersection of Fuzzy Sets | |

Applications of Sets Excursion: Voting Systems | |

Infinite Sets Excursion: Transfinite Arithmetic | |

Logic | |

Logic Statements and Quantifiers Excursion: Switching Networks | |

Truth Tables and Applications Excursion: Switching Networks-- Part II | |

The Conditional and the Biconditional Excursion: Logic Gates | |

The Conditional and Related Statements Excursion: Sheffer's Stroke and the NAND Gate | |

Arguments Excursion: Fallacies | |

Euler Diagrams Excursion: Use Logic to Solve Puzzles | |

Numeration Systems and Topics from Number Theory | |

Early Numeration Systems Excursion: A Rosetta Tablet for the Traditional Chinese Numeration System | |

Place-Value Systems Excursion: Subtraction via the Nines Complement and the End-Around Carry | |

Different Base Systems Excursion: Information Retrieval via a Binary Search | |

Arithmetic in Different Bases Excursion: Subtraction in Base Two via the Ones Complement and the End-Around Carry | |

Prime Numbers and Selected Topics from Number Theory Excursion: The Distribution of the Primes | |

Additional Topics from Number Theory Excursion: A Sum of the Divisors Formula | |

Applications of Equations | |

First-Degree Equations Excursion: Body Mass Index | |

Rate, Ratio, and Proportion Excursion: Earned Run Average | |

Percent Excursion: Federal Income Tax | |

Second-Degree Equations Excursion: The Sum and Product of the Solutions of Quadratic Equations | |

Applications of Functions | |

Rectangular Coordinates and Functions Excursion: Dilations of a Geometric Figure | |

Properties of Linear Functions Excursion: Negative Velocity | |

Finding Linear Models Excursion: A Linear Business Model | |

Quadratic Functions Excursion: Reflective Properties of a Parabola | |

Exponential Functions and Their Applications Excursion: Chess and Exponential Functions | |

Logarithmic Functions and Their Applications Excursion: Benford's Law | |

Mathematical Systems | |

Modular Arithmetic Excursion: Computing the Day of the Week | |

Applications of Modular Arithmetic Excursion: Public Key Cryptography | |

Introduction to Group Theory Excursion: Wallpaper Groups | |

Geometry | |

Basic Concepts of Euclidean Geometry Excursion: Preparing a Circle Graph | |

Perimeter and Area of Plane Figures Excursion: Slicing Polygons into Triangles | |

Similar Triangles Excursion: Topology | |

Volume and Surface Area Excursion: Water Displacement | |

Non-Euclidean Geometry Excursion: Find Geodesics | |

Fractals Excursion: The Heighway Dragon Fractal | |

The Mathematics of Graphs | |

Traveling Roads and Visiting Cities Excursion: Pen-Tracing Puzzles | |

Efficient Routes Excursion: Extending the Greedy Algorithm | |

Planarity and Euler's Formula Excursion: The Five Regular Convex Polyhedra | |

Map Coloring and Graphs Excursion: Modeling Traffic Lights with Graphs | |

The Mathematics of Finance | |

Simple Interest Excursion: Treasury Bills | |

Compound Interest Excursion: Consumer Price Index | |

Consumer Loans Excursion: Leasing versus Buying a Car | |

Home Ownership Excursion: Home Ownership Issues | |

Combinatorics and Probability | |

The Counting Principle Excursion: Decision Trees | |

Permutations and Combinations Excursion: Choosing Numbers in Keno | |

Probability and Odds Excursion: The Value of Pi by Simulation | |

Addition and Complement Rules Excursion: Keno Revisited | |

Conditional Probability Excursion: Sharing Birthdays | |

Expectation Excursion: Chuck-a-luck | |

Statistics | |

Measures of Central Tendency Excursion: Linear Interpolation and Animation | |

Measures of Dispersion Excursion: A Geometric View of Variance and Standard Deviation | |

Measures of Relative Position Excursion: Stem-and-Leaf Diagrams | |

Normal Distributions Excursion: Cut-Off Scores | |

Linear Regression and Correlation Excursion: An Application of Linear Regression | |

Apportionment and Voting | |

Introduction to Apportionment Excursion: Apportioning the 1790 House of Representatives | |

Introduction to Voting Excursion: Variations of the Borda Count Method | |

Weighted Voting Systems Excursion: Blocking Coalitions and the Banzhaf Power | |

Index | |

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