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游戲和博彩中的數學 版權信息
- ISBN：9787040593082
- 條形碼：9787040593082 ; 978-7-04-059308-2
- 裝幀：平裝-膠訂
- 冊數：暫無
- 重量：暫無
- 所屬分類：>>
游戲和博彩中的數學 內容簡介
本書介紹和發展了各種博彩和游戲活動的理性分析中需要的一些重要而美麗的基本數學知識。大多數標準的賭場游戲（輪盤賭、21點、基諾），一些社交游戲（西洋雙陸棋、撲克、橋牌）和各種其他活動（國家彩票、賽馬等）都是基于呈現它們的數學層面的方式進行處理的。數學的發展范圍從可預測的概率概念、期望、二項式系數到一些不太知名的基本博弈論思想。第二版新增材料包括：體育博彩和背后的數學；博弈論在撲克唬人中的應用及其與得州撲克現象的關系；Nash均衡概念及其在大眾文化中的出現；互聯網連接到游戲和Java小程序，用于實踐和課堂使用。讀者需要的正規的數學背景是一些高中代數知識。為有興趣處理和擴展書中討論的思想的讀者準備的游戲相關的習題放在大多數章節末尾。一些習題的答案放在本書的后。
游戲和博彩中的數學 目錄
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
展開全部
游戲和博彩中的數學 作者簡介
Ed Packel received his BA from Amherst College in 1963 and his PhD from MIT in 1967.He is currently the Volwiler Professor of Mathematics at Lake Forest College,where he has taught mathematics and computer science courses since 1971. Packel's initial work in functional analysis resulted in several research articles and an introductory graduate text.Subsequent research has involved game theory,social choice theory and information-based complexity.He is also heavily involved in using technology,primarily Mathematica,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 fascination 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.
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