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Winning Ways for your Mathematical Plays

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Originally published
  
1982

4.4/5
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Author
  
Elwyn Berlekamp

Winning Ways for your Mathematical Plays t1gstaticcomimagesqtbnANd9GcSQuoghewDMjArIB

Similar
  
Elwyn Berlekamp books, Mathematics books

Winning Ways for your Mathematical Plays (Academic Press, 1982) by Elwyn R. Berlekamp, John H. Conway, and Richard K. Guy is a compendium of information on mathematical games. It was first published in 1982 in two volumes.

Contents

The first volume introduces combinatorial game theory and its foundation in the surreal numbers; partizan and impartial games; Sprague–Grundy theory and misère games. The second volume applies the theorems of the first volume to many games, including nim, sprouts, dots and boxes, Sylver coinage, philosopher's football, fox and geese. A final section on puzzles analyzes the Soma cube, Rubik's Cube, peg solitaire, and Conway's game of life.

A republication of the work by A K Peters splits the content into four volumes.

Editions

  • 1st edition, New York: Academic Press, 2 vols., 1982; vol. 1, hardback: ISBN 0-12-091150-7, paperback: ISBN 0-12-091101-9; vol. 2, hardback: ISBN 0-12-091152-3, paperback: ISBN 0-12-091102-7.
  • 2nd edition, Wellesley, Massachusetts: A. K. Peters Ltd., 4 vols., 2001–2004; vol. 1: ISBN 1-56881-130-6; vol. 2: ISBN 1-56881-142-X; vol. 3: ISBN 1-56881-143-8; vol. 4: ISBN 1-56881-144-6.

    • Games mentioned in the book

    This is a partial list of the games mentioned in the book.

    Note: Misere games not included

  • Hackenbush
  • Blue-Red Hackenbush
  • Blue-Red-Green Hackenbush (Introduced as Hackenbush Hotchpotch in the book)
  • Childish Hackenbush
  • Ski-Jumps
  • Toads-and-Frogs
  • Cutcake
  • Maundy Cake
  • (2nd Unnamed Cutcake variant by Dean Hickerson)
  • Hotcake
  • Coolcakes
  • Baked Alaska
  • Eatcake
  • Turn-and_Eatcake
  • Col
  • Snort
  • Nim (Green Hackenbush)
  • Prim
  • Dim
  • Lasker's Nim
  • Seating Couples
  • Northcott's Game (Poker-Nim)
  • The White Knight
  • Wyt Queens (Wythoff's Game)
  • Kayles
  • Double Kayles
  • Quadruple Kayles
  • Dawson's Chess
  • Dawson's Kayles
  • Treblecross
  • Grundy's Game
  • Mrs. Grundy
  • Domineering
  • No Highway
  • De Bono's L-Game
  • Snakes-and-Ladders (Adders-and-Ladders)
  • Jelly Bean Game
  • Dividing Rulers

    • References

    Winning Ways for your Mathematical Plays Wikipedia
    (Text) CC BY-SA


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