Peter Winkler

Mathematical Puzzles (eBook, ePUB)

Revised Edition

• Format: ePub

Produktbeschreibung

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.

This Revised Edition has been thoroughly edited to correct errors and provide clarifications, and includes some totally different solutions, modified puzzles, and one entirely new puzzle.

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.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 450
• Erscheinungstermin: 21. Juni 2024
• Englisch
• ISBN-13: 9781040049532
• Artikelnr.: 69994351

Autorenporträt

Peter Winkler is the William Morrill Professor of Mathematics and Computer Science at Dartmouth College, and for 2019 - 2020, the Distinguished Visiting Professor for the Public Dissemination of Mathematics at the National Museum of Mathematics. He is the author of 160 research papers, a dozen patents, two previous puzzle books, a book on cryptographic techniques in the game of bridge, and a portfolio of compositions for ragtime piano.

Inhaltsangabe

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 & Sources

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Preface, Insight, Numbers, Combinatorics, Probability, Geometry, Geography(!), Games, Algorithms, More Games, Handicaps, Toughies, Unsolved Puzzles, Afterword, Index of Puzzles

Rezensionen

" Winkler's book will certainly appeal to the mathematician, as well as to students of all ages-high-school, college, and graduate. His philosophy of what constitutes a good puzzle is right on the mark, showing that this Connoisseur's Collection really is of quality and depth. -James Tanton, MAA Online, September 2004
""I have gained great satisfaction from those [puzzles] I've managed to solve . . . This is a great collection of seriously hard questions."" -The Mathematical Gazette, March 2006
""As an enthusiastic solver and collector of mathematical puzzles myself, I was absolutely delighted with this book. The sheer density of mathematical ideas and challenges sets it apart from other books of a similar nature while the lucid yet informal style of exposition makes the journey from ignorance to enlightenment enjoyable."" -Norman Do, The Australian Mathematical Society Gazette, July 2004"