Sphere packing, Lewis Carroll, and reversi : Martin Gardner's new mathematical diversions
著者
書誌事項
Sphere packing, Lewis Carroll, and reversi : Martin Gardner's new mathematical diversions
（The new Martin Gardner mathematical library）
Mathematical Association of America , Cambridge University Press, 2009
- : hbk
- : pbk
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注記
"First edition published as New mathematical diversions from Scientific American, Simon and Schuster, 1966"--T.p. verso
Includes bibliographical reference and index
内容説明・目次
内容説明
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.
目次
- 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.
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