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Books > Science & Mathematics > Mathematics > Mathematical foundations
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Games, Gambling, and Probability - An Introduction to Mathematics (Hardcover, 2nd edition)
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Games, Gambling, and Probability - An Introduction to Mathematics (Hardcover, 2nd edition)
Series: Textbooks in Mathematics
Expected to ship within 9 - 15 working days
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Many experiments have shown the human brain generally has very
serious problems dealing with probability and chance. A greater
understanding of probability can help develop the intuition
necessary to approach risk with the ability to make more informed
(and better) decisions. The first four chapters offer the standard
content for an introductory probability course, albeit presented in
a much different way and order. The chapters afterward include some
discussion of different games, different "ideas" that relate to the
law of large numbers, and many more mathematical topics not
typically seen in such a book. The use of games is meant to make
the book (and course) feel like fun! Since many of the early games
discussed are casino games, the study of those games, along with an
understanding of the material in later chapters, should remind you
that gambling is a bad idea; you should think of placing bets in a
casino as paying for entertainment. Winning can, obviously, be a
fun reward, but should not ever be expected. Changes for the Second
Edition: New chapter on Game Theory New chapter on Sports
Mathematics The chapter on Blackjack, which was Chapter 4 in the
first edition, appears later in the book. Reorganization has been
done to improve the flow of topics and learning. New sections on
Arkham Horror, Uno, and Scrabble have been added. Even more
exercises were added! The goal for this textbook is to complement
the inquiry-based learning movement. In my mind, concepts and ideas
will stick with the reader more when they are motivated in an
interesting way. Here, we use questions about various games (not
just casino games) to motivate the mathematics, and I would say
that the writing emphasizes a "just-in-time" mathematics approach.
Topics are presented mathematically as questions about the games
themselves are posed. Table of Contents Preface 1. Mathematics and
Probability 2. Roulette and Craps: Expected Value 3. Counting:
Poker Hands 4. More Dice: Counting and Combinations, and Statistics
5. Game Theory: Poker Bluffing and Other Games 6.
Probability/Stochastic Matrices: Board Game Movement 7. Sports
Mathematics: Probability Meets Athletics 8. Blackjack: Previous
Methods Revisited 9. A Mix of Other Games 10. Betting Systems: Can
You Beat the System? 11. Potpourri: Assorted Adventures in
Probability Appendices Tables Answers and Selected Solutions
Bibliography Biography Dr. David G. Taylor is a professor of
mathematics and an associate dean for academic affairs at Roanoke
College in southwest Virginia. He attended Lebanon Valley College
for his B.S. in computer science and mathematics and went to the
University of Virginia for his Ph.D. While his graduate school
focus was on studying infinite dimensional Lie algebras, he started
studying the mathematics of various games in order to have a more
undergraduate-friendly research agenda. Work done with two Roanoke
College students, Heather Cook and Jonathan Marino, appears in this
book! Currently he owns over 100 different board games and enjoys
using probability in his decision-making while playing most of
those games. In his spare time, he enjoys reading, cooking, coding,
playing his board games, and spending time with his six-year-old
dog Lilly.
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