Mathematical circus : more puzzles, games, paradoxes, and other mathematical entertainments from Scientific American with a preface by Donald Knuth, a postscript, from the author, and a new bibliography by Mr. Gardner, thoughts from readers, and 105 drawings and diagrams

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Mathematical circus : more puzzles, games, paradoxes, and other mathematical entertainments from Scientific American with a preface by Donald Knuth, a postscript, from the author, and a new bibliography by Mr. Gardner, thoughts from readers, and 105 drawings and diagrams

Martin Gardner

Mathematical Association of America, 1992

  • : pbk

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内容説明・目次

内容説明

The twenty chapters of this book are nicely balanced between all sorts of stimulating ideas, suggested by down-to-earth objects like match sticks and dollar bills as well as by faraway objects like planets and infinite random walks. We learn about ancient devices for arithmetic and about modern explanations of artificial intelligence. There are feasts here for the eyes and hands as well as for the brain.

目次

  • 1. Optical illusions
  • 2. Matches
  • 3. Spheres and hyperspheres
  • 4. Patterns of induction
  • 5. Elegant triangles
  • 6. Random walks and gambling
  • 7. Random walks on the plane and in space
  • 8. Boolean algebra
  • 9. Can machines think?
  • 10. Cyclic numbers
  • 11. Eccentric chess and other problems
  • 12. Dominoes
  • 13. Fibonacci and Lucas numbers
  • 14. Simplicity
  • 15. The rotating round table and other problems
  • 16. Solar system oddities
  • 17. Mascheroni constructions
  • 18. The abacus
  • 19. Palindromes: words and number
  • 20. Dollar bills.

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