- 游戏和博彩中的数学(第2版英文版)(精)/美国数学会经典影印系列
- - 作者：(美)爱德华·帕克尔|责编:李华英
  - 出版社：高等教育
  - ISBN：9787040593082
  - 出版日期：2023/03/01
  - 页数：175
- 售价：39.6

内容大纲
    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。
作者介绍
爱德华·帕克尔（Ed Packel）received his BA from Amherst College in 1963 and his PhD from MIT in 1967. He is currently the Volwiler Profes-sor of Mathematics at Lake Forest College, where he has taught mathematics and com-puter science courses since 1971. Packel's initial work in functional analy-sis resulted in several research articles and an introductory graduate text. Subsequent research has involved game theory, social choice theory and information-based com-plexity. He is also heavily involved in using technology, primarily Math-ematica, as a tool for teaching and research in mathematics. This work has led to publication of a variety of articles, several Mathematica-related books and fifteen years of Rocky Mountain Mathematica July workshops. The author has a healthy interest in games and sports. His fascina-tion with bridge and backgammon is complemented with a long-running monthly applied probability seminar (alias poker game). He has played and coached soccer, competed as a distance runner, and enjoys the game of golf.
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

Answers/Hints for Selected Exercises
Bibliography
Index
About the Author

内容大纲

作者介绍

目录

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