Probability Theory: A Concise Course Online

by Y. A. Rozanov is a highly regarded, compact introduction to modern probability, renowned for its mathematical precision and succinct style. Translated from Russian by Richard A. Silverman , this classic Dover Publications textbook provides a fast-moving yet self-contained overview of the subject in just 160 pages. Core Content and Structure

Chapter 4 covers discrete and continuous random variables, mathematical expectation, and Chebyshev's Inequality . Probability Theory: A Concise Course

Despite its brevity, the text is dense with educational resources: Translated from Russian by Richard A

Chapter 5 focuses on Bernoulli trials, the binomial and Poisson distributions, and the De Moivre-Laplace theorem . Despite its brevity, the text is dense with

Reviewers often describe it as an excellent "pocket reference" or review tool rather than a comprehensive first-time textbook. Some readers note that its "concise" nature means certain topics, like , are not explicitly covered, and the transition to later, more technical chapters can be steep for beginners.

The final chapters (7–8) provide a detailed treatment of Markov chains (transition and limiting probabilities) and continuous Markov processes. Practical Features

Includes 150 problems with many hints and answers provided, making it suitable for self-study.