Sphere Packing, Lewis Carroll, and Reversi
Packing spheres, Reversi, braids, polyominoes, board games, and the puzzles of Lewis Carroll. These and other mathematical diversions return to readers with updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries. Read about Knuth's Word Ladders program and the latest developments in the digits of pi. Once again these timeless puzzles will charm readers while demonstrating principles of logic, probability, geometry, and other fields of mathematics.
- Timeless puzzles from the 25 year run of the Scientific American 'Mathematical Games' columns
- Features extensive updates by Gardner that are not found in any other editions of these books
- Part of the first complete collection of Martin Gardner's Mathematical Library
Reviews & endorsements
'Martin Gardner's fifteen volumes about Mathematical Games are The Canon - timeless classics that are always worth reading and rereading.' Don Knuth
'Gardner's monthly romp through recreational math and logic ran in Scientific American for 25 years, from the Sputnik splash to the Reagan reign, and nobody has been able to match it since. 'Mathematical Games' was an orgy of right-brain tomfoolery that could be approached for superficial fun or deep insight, or both at the same time … I can't think of a better present for a clever 12-year old, bored undergraduate, restless retiree, or stay-at-home parent fearing intellectual stagnation.' David Brooks, The Telegraph
Product details
September 2009Hardback
9780521756075
298 pages
250 × 145 × 20 mm
0.45kg
130 b/w illus.
Available
Table of Contents
- 1. The binary system
- 2. Group theory and braids
- 3. Eight problems
- 4. The games and puzzles of Lewis Carroll
- 5. Paper cutting
- 6. Board games
- 7. Sphere packing
- 8. The transcendental number Pi
- 9. Victor Eigen, mathemagician
- 10. The four-color map theorem
- 11. Mr. Apollinax visits New York
- 12. Nine problems
- 13. Polyominoes and fault-free rectangles
- 14. Euler's spoilers: the discovery of an Order-10 Graeco-Latin square
- 15. The ellipse
- 16. The 24 color squares and the 30 color cubes
- 17. H. S. M. Coxeter
- 18. Bridg-it and other games
- 19. Nine more problems
- 20. The calculus of finite differences.