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Mathematics in Games, Sports, and Gambling: The Games People Play

Ronald J. Gould
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2009
Number of Pages: 
354
Format: 
Hardcover
Price: 
59.95
ISBN: 
9781439801635
Category: 
Textbook
We do not plan to review this book.

Basic Probability

Introduction

Of Dice and Men

Probability

The Laws Which Govern Us

Poker Hands versus Batting Orders

Let’s Play for Money!

Is That Fair?

The Odds Are against Us

Things Vary

Conditional Expectation

The Game’s Afoot

Applications to Games

Counting and Probability in Poker Hands

Roulette

Craps

Let’s Make A Deal — The Monty Hall Problem

Carnival Games

Other Casino Games

Backgammon

Repeated Play

Introduction

Binomial Coefficients

The Binomial Distribution

The Poisson Distribution

Streaks — Are They Real?

Betting Strategies

The Gambler’s Ruin

Card Tricks and More

Introduction

The Five-Card Trick

The Two-Deck Matching Game

More Tricks

The Paintball Wars

Dealing with Data

Introduction

Batting Averages and Simpson’s Paradox

NFL Passer Ratings

Viewing Data — Simple Graphs

Confidence in Our Estimates

Measuring Differences in Performance

Testing and Relationships

Introduction

Suzuki versus Pujols

I’ll Decide If I Believe That

Are the Old Adages True?

How Good Are Certain Measurements?

Arguing over Outstanding Performances

A Last Look at Comparisons

Games and Puzzles

Introduction

Number Arrays

The Tower of Hanoi

Instant Insanity

Lights Out

Peg Games

Combinatorial Games

Introduction to Combinatorial Games

Subtraction Games

Nim

Games as Digraphs

Blue-Red Hackenbush

Green Hackenbush

Games as Numbers

More about Nimbers

Appendix

Review of Elementary Set Theory

Standard Normal Distribution Table

Student’s t-Distribution

Solutions to Problems

Selected Even Exercises

References

Index