1st Edition

The Mathematics of Games
An Introduction to Probability




ISBN 9781482235432
Published December 1, 2014 by Chapman and Hall/CRC
426 Pages - 84 B/W Illustrations

USD $86.95

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Book Description

The Mathematics of Games: An Introduction to Probability takes an inquiry-based approach to teaching the standard material for an introductory probability course. It also discusses different games and ideas that relate to the law of large numbers, as well as some more mathematical topics not typically found in similar books.

Written in an accessible, student-friendly style, the book uses questions about various games (not just casino games) to motivate the mathematics. The author explains the examples in detail and offers ample exercises for students to practice their skills. Both "mini-excursions" appearing at the end of each chapter and the appendices delve further into interesting topics, including the St. Petersburg paradox, binomial and normal distributions, Fibonacci numbers, and the traveling salesman problem.

By exploring games of chance, this text gives students a greater understanding of probability. It helps them develop the intuition necessary to make better, more informed decisions in strategic situations involving risk. It also prepares them to study the world of statistics.

Table of Contents

Dice, Coins, and Candy
Introduction
Probability
Candy (Yum)!

Wheels and More Dice
Roulette
Craps

Counting the Pokers
Cards and Counting
Seven Card Pokers
Texas Hold'Em
Bluffing

Windmills and Black Jacks?
Blackjack
Blackjack Variants

More Fun Dice!
Liar's Dice
Yahtzee
Zombie Dice

Board Games, Not "Bored" Games
Board Game Movement
Pay Day (The Board Game)
Monopoly
Spread, Revisited

Can You Bet and Win?
Betting Systems
Gambler’s Ruin

There Are More Games!
The Lottery
Bingo
Baccarat
Farkle
Backgammon
Memory

Appendices
A Probabilities with Infinity
B St. Petersburg Paradox
C Prisoner’s Dilemma and More Game Theory
D Binomial Distribution versus Normal Distribution
E Matrix Multiplication Review
F Minimizing the Probability of Ruin

Tables

Answers and Selected Solutions

Bibliography

Index

Exercises and Mini-Excursions appear at the end of each chapter.

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Author(s)

Biography

Dr. David G. Taylor is an associate professor and chair of the Mathematics, Computer Science, and Physics (MCSP) Department at Roanoke College in Salem, Virginia.