Mathematics in Games, Sports, and Gambling: - The Games People Play / Edition 1

Mathematics in Games, Sports, and Gambling: - The Games People Play / Edition 1

by Ronald J. Gould
     
 

With an emphasis on mathematical thinking and problem solving, Mathematics in Games, Sports, and Gambling — The Games People Play shows how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. It draws on numerous examples, questions, and problems to explain the application of

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Overview

With an emphasis on mathematical thinking and problem solving, Mathematics in Games, Sports, and Gambling — The Games People Play shows how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. It draws on numerous examples, questions, and problems to explain the application of mathematical theory to various real-life games.

Only requiring high school algebra, the text offers flexibility in choosing what material to cover in a basic mathematics course. It covers permutations in the two-deck matching game so derangements can be counted, introduces graphs to find matches when looking at extensions of the five-card trick, and studies lexicographic orderings and ideas of encoding for card tricks. The text also explores linear equations and weighted equations in the section on the NFL passer rating formula and presents graphing to show how data can be compared or displayed. For each topic, the author includes exercises based on real games and sports data.

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Product Details

ISBN-13:
9781439801635
Publisher:
Taylor & Francis
Publication date:
07/28/2009
Series:
Textbooks in Mathematics Series
Edition description:
New Edition
Pages:
374
Sales rank:
383,791
Product dimensions:
6.30(w) x 9.30(h) x 0.90(d)

Table of Contents

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

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