
最 低 价:¥81.00
定 价:¥89.95
作 者:John D. Beasley 著 著
出 版 社:Oversea Publishing House
出版时间:2006-1-1
I S B N:9780486449760
| 1.Introduction 2.The luck of the deal Counting made easy 4-3-3-3 and all that Shuffle the pack and deal again 3.The luck of the die Counting again made easy The true law of averages How random is a toss? Cubic and other dice The arithmetic of dice games Simulation by computer 4.To err is human Finding a hole in the ground Finding a hole in the defence A game of glorious uncertainty 5.If A beats B, and B beats C . . . The assessment of a single player in isolation The estimation of trends Interactive games Grades as measures of ability The self-fulfilling nature of grading systems The limitations of grading Cyclic expectations 6.Bluff and double bluff I've got a picture An optimal strategy for each player Scissors, paper, stone You cut, I'll choose The nature of bluffing Analysing a game 7.The analysis of puzzles Black and white squares Divisibility by three Positions with limited potential Systematic progress within a puzzle Systematic progress between puzzles 8.Sauce for the gander A winning strategy at nim Nim in disguise All cul-de-sacs lead to nim Grundy analysis in practice Some more balancing acts Playing to lose 9.The measure of a game Nim with personal counters Games of fractional measure General piles The nature of a numeric game The measure of a feeble threat Infinite games 1O.When the counting has to stop The symptoms of a hard game When you know who, but not how The paradox underlying games of pure skill 11.Round and round in circles Driving the old woman to bed Turing games Turing's paradox The hole at the heart of mathematics Further reading Index |
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