| Dewey Class |
519.2 |
| Title |
The Doctrine of Chances ([Ebook]) : Probabilistic Aspects of Gambling / by Stewart N. Ethier. |
| Author |
Ethier, Stewart N. , 1948- |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : Springer , 2010. |
| Physical Details |
XIV, 816 pages : online resource. |
| Series |
Probability and Its Applications 1431-7028 |
| ISBN |
9783540787839 |
| Summary Note |
Three centuries ago Montmort and De Moivre published two of the first books on probability theory, then called the doctrine of chances, emphasizing its most important application at that time, games of chance. This volume, on the probabilistic aspects of gambling, is a modern version of those classics. While covering the classical material such as house advantage and gambler's ruin, it also takes up such 20th-century topics as martingales, Markov chains, game theory, bold play, and optimal proportional play. In addition there is extensive coverage of specific casino games such as roulette, craps, video poker, baccarat, and twenty-one. The volume addresses researchers and graduate students in probability theory, stochastic processes, game theory, operations research, statistics but it is also accessible to undergraduate students, who have had a course in probability.: |
| Contents note |
Preface -- Part I Theory. 1. Review of Probability. 2. Conditional Expectation. 3. Martingales. 4. Markov Chains. 5. Game Theory. 6. House Advantage. 7. Gamblerâs Ruin. 8. Betting Systems. 9. Bold Play. 10. Optimal Proportional Play. 11. Card Theory -- Part II Applications. 12. Slot Machines. 13. Roulette. 14. Keno. 15. Craps. 17. Video Poke. 18. Faro. 19. Baccarat. 20. Trente et Quarante. 21. Twenty-One. 22. Poker -- A Appendix. A.1. Results from algebra and number theory. A.2.Results from analysis and probability -- List of Notations. Answers to Selected Problems. References -- Index. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
http://dx.doi.org/10.1007/978-3-540-78783-9 |
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