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游戏和博彩中的数学(影印版)

游戏和博彩中的数学(影印版)

  • 字数: 330
  • 出版社: 高等教育
  • 作者: (美)爱德华·帕克尔|责编:李华英
  • 商品条码: 9787040593082
  • 版次: 1
  • 开本: 16开
  • 页数: 175
  • 出版年份: 2023
  • 印次: 1
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内容简介
本书介绍并发展了一些 重要而美妙的初等数学知识 ,用于理性分析各种博彩和 游戏活动。大多数标准的赌 场游戏(轮盘赌、21点、 Keno)、一些社交游戏( 双陆棋、扑克、桥牌)和各 种其他活动(国家彩票、赛 马等)都用数学方式加以处 理。所涉及的数学范围从可 预测的概率、期望和二项式 系数的概念到一些不太为人 知的初等博弈论思想。 第二版增加了新材料: 体育博彩及其背后的数学; 博弈论在扑克的虚张声势中 的应用,以及与德州扑克现 象相关的内容;Nash均衡 概念及其在流行文化中的出 现;用于实践和课堂使用的 游戏及Java小程序的互联网 链接。 读者仅需要具备一定的 高中代数知识。大多数章节 的结尾处都包括与文中所讨 论观点相关的游戏形式的练 习题。部分练习题的解答放 在书后。
目录
Preface to the First Edition Preface to the Second Edition 1 The Phenomenon of Gambling 1.1 A selective history 1.2 The gambler in 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

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