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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 | |
Table of Contents provided by Publisher. All Rights Reserved. |