Tracking the Automatic ANT

And Other Mathematical Explorations

  • DavidĀ Gale

Table of contents

  1. Front Matter
    Pages i-xi
  2. David Gale
    Pages 7-11
  3. David Gale
    Pages 19-24
  4. David Gale
    Pages 25-29
  5. David Gale
    Pages 37-44
  6. David Gale
    Pages 55-62
  7. David Gale
    Pages 73-81
  8. David Gale
    Pages 83-89
  9. David Gale
    Pages 91-100
  10. Go
    David Gale
    Pages 101-112
  11. David Gale
    Pages 113-117
  12. David Gale
    Pages 119-130
  13. Sherman K. Stein
    Pages 131-135
  14. David Gale, Jim Propp, Scott Sutherland, Serge Troubetzkoy
    Pages 137-149
  15. David Gale
    Pages 151-161

About this book


For those fascinated by the abstract universe of mathematics, David Gale's columns in The Mathematical Intelligencer have been a prime source of entertainment. Here Gale's 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 but frequently returned to favorite themes: triangles, tilings, the mysterious properties of sequences given by simple recursions, games and paradoxes, and the particular automaton that gives this collection its title, the "automatic ant". The level is suitable for those with some familiarity with mathematical ideas, but great sophistication is not needed.


Columns form the Mathematical Intelligencer Mathematical Entertainment Mathematical recreation geometry mathematics proof recursion theorem

Editors and affiliations

  • DavidĀ Gale
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7453-7
  • Online ISBN 978-1-4612-2192-0
  • About this book