Tracking the Automatic ANT
And Other Mathematical Explorations
Published on 1. October 2011
Book
Paperback/Softback
XI, 241 pages
978-1-4612-7453-7 (ISBN)
Description
David Gale's Mathematical Entertainments columns in the Mathematical Intelligencer, a prime source of entertainment for everyone with an interest in mathematics, are here collected in book form for the first time. Gale has ranged widely over the entire field of mathematics yet returns often to favorite concerns: triangles, tilings, the mysterious properties of sequences given by simple recursions, and the peculiar automaton that gives this collection its title. This book requires some familiarity with mathematical concepts but not great sophistication.
More details
Edition
Softcover reprint of the original 1st ed. 1998
Language
English
Place of publication
New York
United States
Target group
Popular/general
Illustrations
XI, 241 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
394 gr
ISBN-13
978-1-4612-7453-7 (9781461274537)
DOI
10.1007/978-1-4612-2192-0
Schweitzer Classification
Other editions
Additional editions
E-Book
12/2012
Springer
€53.49
Available for download
Book
05/1998
Springer
€85.55
Article exhausted; check different version
Content
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.