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 Edward Nelson - Princeton University Press
In this book Nelson develops a new approach to probability theory that is just as powerful as but much simpler than conventional Kolmogorov-style probability theory used throughout mathematics for most of the 20th century.
by John Maynard Keynes - Macmillan and co
From the table of contents: Fundamental ideas - The Meaning of Probability, The Measurement of Probabilities; Fundamental theorems; Induction and analogy; Some philosophical applications of probability; The foundations of statistical inference, etc.
by F. Caravenna, F. den Hollander, N. Petrelis - arXiv
These lecture notes are a guided tour through the fascinating world of polymer chains interacting with themselves and/or with their environment. The focus is on the mathematical description of a number of physical and chemical phenomena.
by William G. Faris - University of Arizona
From the table of contents: Combinatorics; Probability Axioms; Discrete Random Variables; The Bernoulli Process; Continuous Random Variables; The Poisson Process; The weak law of large numbers; The central limit theorem; Estimation.