Winning Ways for Your Mathematical Plays
Winning Ways for Your Mathematical Plays
- 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.
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, phutball (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 split the content into four volumes.
Editions *1st edition, New York: Academic Press, 2 vols., 1982; vol. 1, hardback: , paperback: ; vol. 2, hardback: , paperback: . *2nd edition, Wellesley, Massachusetts: A. K. Peters Ltd., 4 vols., 2001–2004; vol. 1: ; vol. 2: ; vol. 3: ; vol. 4: .
Games mentioned in the book This is a partial list of the games mentioned in the book.
Note: Misère 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
- Dodgem