Foundations of the Theory of Probability (Classic Reprint) - Hardcover

A. N. Kolmogorov

Hardcover

ISBN 10: 0331497123 ISBN 13: 9780331497120

Publisher: Forgotten Books, 2018

Synopsis

This book establishes an axiomatic foundation for the theory of probability, a mathematical discipline concerned with expressing the basic concepts of probability theory using general concepts of modern mathematics. Before the introduction of Lebesgue's theories of measure and integration, probability theory was considered a rather peculiar discipline. However, after Lebesgue published his investigations, analogies between measure of a set and probability of an event, and between integral of a function and mathematical expectation of a random variable, became apparent and allowed for further development and expansion of the theory. The author's aim in writing this book was to give an axiomatic foundation for the theory of probability, putting in their natural place, among the general notions of modern mathematics, the basic concepts of probability theory, which until recently were considered peculiar. This task would have been hopeless before the introduction of Lebesgue's theories of measure and integration. The book is of interest from the point of view of the foundations of the subject and should be of value to specialists in probability theory, mathematical statistics, and the theory of random functions.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0331497123
• ISBN 13: 9780331497120
• Binding: Hardcover
• Number of pages: 82