Probability Theory: The Logic of Science
by E. T. Jaynes
Publisher: Cambridge University Press 2002
Number of pages: 758
The book is addressed to readers who are already familiar with applied mathematics at the advanced undergraduate level or preferably higher. The text is concerned with probability theory and all of its conventional mathematics, but now viewed in a wider context than that of the standard textbooks.
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by Richard A. Proctor - Longmans, Green, and Co.
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.
by S. R. S. Varadhan - New York University
These notes are based on a first year graduate course on Probability and Limit theorems given at Courant Institute of Mathematical Sciences. The text covers discrete time processes. A small amount of measure theory is included.
by Yuen-Kwok Chan - arXiv.org
The author provides a systematic, thorough treatment of the foundations of probability theory and stochastic processes along the lines of E. Bishop's constructive analysis. Every existence result presented shall be a construction ...
by Douglas Kennedy - Trinity College
This material was made available for the course Probability of the Mathematical Tripos. Contents: Basic Concepts; Axiomatic Probability; Discrete Random Variables; Continuous Random Variables; Inequalities, Limit Theorems and Geometric Probability.