Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics. Mathematical Puzzles makes this connection explicit by isolating important mathematical methods, then using them to solve puzzles and prove a theorem.
Features
• A collection of the world’s best mathematical puzzles
• Each chapter features a technique for solving mathematical puzzles, examples, and finally a genuine theorem of mathematics that features that technique in its proof
• Puzzles that are entertaining, mystifying, paradoxical, and satisfying; they are not just exercises or contest problems.
Author(s): Peter Winkler
Edition: 1
Publisher: CRC Press
Year: 2020
Language: English
Commentary: Vector PDF
Pages: 410
City: Boca Raton, FL
Tags: Mathematics; Elementary Mathematics; Recreative Mathematics; Puzzles
Cover
Endorsements
Half Title
Title Page
Copyright Page
Dedication
Contents
Acknowledgments
Preface
The Puzzles
The Hints
1. Out for the Count
2. Achieving Parity
3. Intermediate Math
4. Graphography
5. Algebra Too
6. Safety in Numbers
7. The Law of Small Numbers
8. Weighs and Means
9. The Power of Negative Thinking
10. In All Probability
11. Working for the System
12. The Pigeonhole Principle
13. Information, Please
14. Great Expectation
15. Brilliant Induction
16. Journey into Space
17. Nimbers and the Hamming Code
18. Unlimited Potentials
19. Hammer and Tongs
20. Let’s Get Physical
21. Back from the Future
22. Seeing Is Believing
23. Infinite Choice
24. Startling Transformation
Notes and Sources
Bibliography
Author
Index
