[Man] invented a concept that has since been variously viewed as a vice, a crime, a business, a pleasure, a type of magic, a disease, a folly, a weakness, a form of sexual substitution, an expression of the human instinct. He invented gambling. Richard Epstein's classic book on gambling and its mathematical analysis covers the full range of games from penny matching, to blackjack and other casino games, to the stock market (including Black-Scholes analysis). He even considers what light statistical inference can shed on the study of paranormal phenomena. Epstein is witty and insightful, a pleasure to dip into and read and rewarding to study.
Richard Arnold Epstein (March 5, 1927 in Los Angeles, California – July 5, 2016), also known under the pseudonym E.P. Stein, was an American game theorist.
This isn't goign to teach you to become a professional gambler, a master card-counter or a poker pro. if you want to buy the text for that purpose, save your money and look elsewhere. However, what this book IS good for is for giving a concise yet thorough and mathematically rigorous treatment of all sorts of gambles and games of chance. If a game is in a casino, there's probably a chapter on that game in this book. For those with an interest in mathematics and want to see how mathematics is applied to casino gambling and games of chance, this is a great book.
An update of the first edition, that was published in 1967. The second edition adds and subtracts quite a bit of material. Get both if you can, as they complement each other.
Additional Second Edition Errata-- in what is in the book, the formula for Binomial Distribution on page 19 (equation 2-11) should be (p^r)*(p^(n-r)), NOT (p^r)*(p^(n-1)).
The topic and (numerous) examples are great, but it'd be a bit tedious to read through the book. It's like a problem set for financial engineering interview.