Sphere Packing, Lewis Carroll, and Reversi: Martin Gardner's New Mathematical Diversions: 3 (The New Martin Gardner Mathematical Library, Series Number 3)
Cambridge University Press, 9/17/2009
EAN 9780521747011, ISBN10: 0521747015
Paperback, 298 pages, 21.8 x 14 x 1.8 cm
Language: English
Originally published in English
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.
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.