The Theory of Gambling and Statistical Logic
by Richard Epstein · Academic Press
2nd edition, 2009. The primary text on gambling mathematics, and heavy going. The place to end up rather than the place to start.
More resources on Probability & Statistics
Probability Theory: The Logic of Science
Upgrades epistemology by treating probability as the rigorous logic of science and reasoning under incomplete information.
The Mathematics of Poker
2006. Where the Risk of Ruin mathematics comes from. The most enjoyable book on this list if you like equations.
Practical Casino Math
2nd edition. The textbook version of Hannum's free casino-math guide; only worth buying for the full treatment.
The Economics of Casino Gambling
Free on the AEA site. The source of the house-advantage and standard-deviation table used in casino-math introductions.
Reports, Data Sets & Research Guides
Free datasets: Nevada 1990-2025, Atlantic City 1978-2013, and dedicated hold-percentage series going back to 1992.
Gaming Revenue Reports
Free primary data, monthly, 2004 to date. Twelve-month rolling win and win percentage by game.