Sphere Packing, Lewis Carroll, and Reversi: Martin Gardner's New Mathematical Diversions

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  • Format: Paperback
  • Copyright: 2009-07-06
  • Publisher: Cambridge University Press
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Supplemental Materials

What is included with this book?


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.

Table of Contents

Acknowledgmentsp. xi
Introductionp. xiii
The Binary Systemp. 1
Group Theory and Braidsp. 11
Eight Problemsp. 23
The Games and Puzzles of Lewis Carrollp. 38
Paper Cuttingp. 51
Board Gamesp. 64
Packing Spheresp. 80
The Transcendental Number ¿p. 91
Victor Eigen: Mathemagicianp. 106
The Four-Color Map Theoremp. 118
Mr. Apollinax Visits New Yorkp. 132
Nine Problemsp. 142
Polyominoes and Fault-Free Rectanglesp. 160
Euler's Spoilers: The Discovery of an Order-10 Graeco-Latin Squarep. 175
The Ellipsep. 189
The 24 Color Squares and the 30 Color Cubesp. 202
H. S. M. Coxeterp. 216
Bridg-it and Other Gamesp. 232
Nine More Problemsp. 241
The Calculus of Finite Differencesp. 261
Indexp. 275
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