by Gian-Carlo Rota
Publisher: David Ellerman 1998
Number of pages: 544
In the year before his premature death in 1999, Gian-Carlo Rota gave his famous course, Probability, at MIT for the last time. The late John N. Guidi (1954-2012) (audio) taped the lectures and took notes which he then wrote up in an almost verbatim manner conveying the substance and some of the atmosphere of the course.
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by Alexei Borodin, Vadim Gorin - arXiv
Topics include integrable models of random growth, determinantal point processes, Schur processes and Markov dynamics on them, Macdonald processes and their application to asymptotics of directed polymers in random media.
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This is a first course in undergraduate probability. It covers standard material such as combinatorial problems, random variables, distributions, independence, conditional probability, expected value and moments, law of large numbers, etc.
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This book contains a discussion of the laws of luck, coincidences, wagers, lotteries and the fallacies of gambling, notes on poker and martingales, explaining in detail the law of probability, the types of gambling, classification of gamblers, etc.