游戏和博彩中的数学 第2版 影印版

本书介绍和发展了各种博彩和游戏活动的理性分析中需要的一些重要而美丽的基本数学知识。大多数标准的赌场游戏（轮盘赌、21点、基诺），一些社交游戏（西洋双陆棋、扑克、桥牌）和各种其他活动（国家彩票、赛马等）都是基于呈现它们的数学层面的方式进行处理的。数学的发展范围从可预测的概率概念、期望、二项式系数到一些不太知名的基本博弈论思想。 第二版新增材料包括：体育博彩和背后的数学；博弈论在扑克唬人中的应用及其与得州扑克现象的关系；Nash均衡概念及其在大众文化中的出现；互联网连接到游戏和Java小程序，用于实践和课堂使用。 读者需要的专享正规的数学背景是一些高中代数知识。为有兴趣处理和扩展书中讨论的思想的读者准备的游戏相关的习题放在大多数章节末尾。一些习题的答案放在本书的最后。

Preface to the First Edition
Preface to the Second Edition
1 The Phenomenon of Gambling
1．1 A selective history
1．2 The gamblerin fact and fiction
2 Finite Probabilities and Great Expectations
2．1 The probability concept and its origins
2．2 Dice，cards，and probabilities
2．3 Roulette，probability and odds
2．4 Compound probabilities： The rules of the game
2．5 Mathematical expectation and its application
2．6 Exercises
3 Backgammon and Other Dice Diversions
3．1 Backgammon oversimplified
3．2 Rolling spots and hitting blots
3．3 Entering and bearing off
3．4 The doubling cube
3．5 Craps
3．6 Chuck-a-Luck
3．7 Exercises
4 Permutations，Combinations，and Applications
4．1 Careful counting： Is order important?
4．2 Factorials and other notation
4．3 Probabilities in poker
4．4 Betting in poker： A simple model
4．5 Distributions in bridge
4．6 Keno type games
4．7 Exercises
5 Play it Again Sam： The Binomial Distribution
5．1 Games and repeated trials
5．2 The binomial distribution
5．3 Beating the odds and the "law" of averages
5．4 Betting systems
5．5 A brief blackjack breakthrough
5．6 Exercises
6 Elementary Game Theory
6．1 What is game theory?
6．2 Games in extensive form
6．3 Two-person games in normal form
6．4 Zero-sum games
6．5 Nonzero-sum games，Nash equilibria and the prisoners' dilemma
6．6 Simple n-person games
6．7 Power indices
6．8 Games computers play
6．9 Exercises
7 Odds and Ends
7．1 The mathematics of bluffing and the
Texas Holdem invasion
7．2 Off to the races
7．3 Lotteries and your expectation
7．4 The gambler's ruin
Answers/Hints for Selected Exercises
Bibliography
Index
About the Author