The Mathematics of Games: An Introduction to Probability, 1st Edition (Hardback) book cover

The Mathematics of Games

An Introduction to Probability, 1st Edition

By David G. Taylor

Chapman and Hall/CRC

426 pages | 84 B/W Illus.

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pub: 2014-12-01
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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.

About the Author

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.

About the Series

Textbooks in Mathematics

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MAT011000
MATHEMATICS / Game Theory
MAT025000
MATHEMATICS / Recreations & Games
MAT029010
MATHEMATICS / Probability & Statistics / Bayesian Analysis