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Tracking the Automatic ANT David Gale

Tracking the Automatic ANT By David Gale

Tracking the Automatic ANT by David Gale


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Summary

A Collection of Mathematical Entertainments Columns from The Mathematical Intelligencer

Tracking the Automatic ANT Summary

Tracking the Automatic ANT: And Other Mathematical Explorations by David Gale

For those fascinated by the abstract universe of mathematics, David Gale's columns in The Mathematical Intelligencer have been a prime source of entertainment, and here his columns are collected for the first time in book form. Encouraged by the magazine's editor, Sheldon Axler, to write on whatever pleased him, Gale ranged far and wide across the field of mathematics, frequently returning to favorite themes: triangles, tilings, games and paradoxes, as well as the particular automaton that gives this collection its title, the automatic ant. Suitable for everyone having some familiarity with mathematical ideas.

Table of Contents

1 Simple Sequences with Puzzling Properties.- 2 Probability Paradoxes.- 3 Historic Conjectures: More Sequence Mysteries.- 4 Privacy-Preserving Protocols.- 5 Surprising Shuffles.- 6 Hundreds of New Theorems in a Two-Thousand-Year-Old Subject: Where Will It End?.- 7 Pop Math and Protocols.- 8 Six Variations on the Variational Method.- 9 Tiling a Torus: Cutting a Cake.- 10 The Automatic Ant: Compassless Constructions.- 11 Games: Real, Complex, Imaginary.- 12 Coin Weighing: Square Squaring.- 13 The Return of the Ant and the Jeep.- 14 Go.- 15 More Paradoxes. Knowledge Games.- 16 Triangles and Computers.- 17 Packing Tripods.- 18 Further Travels with My Ant.- 19 The Shoelace Problem.- 20 Triangles and Proofs.- 21 Polyominoes.- 22 A Pattern Problem, A Probability Paradox, and A Pretty Proof.- 23 The Sun, the Moon, and Mathematics.- 24 In Praise of Numberlessness.- Appendix 1 A Curious Nim-Type Game.- Appendix 2 The Jeep Once More or Jeeper by the Dozen.- Appendix 3 Nineteen Problems in Elementary Geometry (by Armando Machado).- Appendix 4 The Truth and Nothing But the Truth.

Additional information

NPB9781461274537
9781461274537
1461274532
Tracking the Automatic ANT: And Other Mathematical Explorations by David Gale
New
Paperback
Springer-Verlag New York Inc.
2011-10-01
241
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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