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, philosopher's phutball, 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: 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 Reviews Games See also On Numbers and Games by John H. Conway, one of the three coauthors of Winning Ways References 1982 non-fiction books Books about game theory Combinatorial game theory John Horton Conway