Historically, many of the most important mathematical concepts arose from problems that were recreational in origin. This book takes advantage of that fact, using recreational mathematics--problems, puzzles and games--to teach students how to think critically. Encouraging active participation rather than just observation, the book focuses less on mathematical results than on how these results can be applied to thinking about problems and solving them.
Each chapter contains a diverse array of problems in such areas as logic, number and graph theory, two-player games of strategy, solitaire games and puzzles, and much more. Sample problems (solved in the text) whet readers' appetites and motivate discussions; practice problems solidify their grasp of mathematical ideas; and exercises challenge them, fostering problem-solving ability. Appendixes contain information on basic algebraic techniques and mathematical inductions, and other helpful addenda include hints and solutions, plus answers to selected problems. An extensive appendix on probability in new to this Dover edition.
1. Following the Clues
2. Solvelt With Logic
3. From Words to Equations: Algebraic Recreations
4. Solve it With Integers: Some Topics From Number Theory
5. More About Numbers: Bases and Cryptarithmetic
6. Solve It With Networks: An Introduction to Graph Theory
7. Games of Strategy for Two Players
8. Solitaire Games and Puzzles
9. Potpourri