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

Sphere Packing, Lewis Carroll, and Reversi

Martin Gardner's New Mathematical Diversions


Published: 1st October 2009
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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.

About the Author

For 25 of his 90 years, Martin Gardner wrote 'Mathematical Games and Recreations,' a monthly column for Scientific American magazine. These columns have inspired hundreds of thousands of readers to delve more deeply into the large world of mathematics. He has also made significant contributions to magic, philosophy, debunking pseudo-science, and children's literature. He has produced more than 60 books, including many best sellers, most of which are still in print. His Annotated Alice has sold more than a million copies. He continues to write a regular column for the Skeptical Inquirer magazine.

'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

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

ISBN: 9780521747011
ISBN-10: 0521747015
Series: The New Martin Gardner Mathematical Library
Audience: General
Format: Paperback
Language: English
Number Of Pages: 296
Published: 1st October 2009
Country of Publication: GB
Dimensions (cm): 21.6 x 13.8  x 1.7
Weight (kg): 0.345