This famous little book was first published in German in 1933 and in Russian a few years later, setting forth the axiomatic foundations of modern probability theory and cementing the author's reputation as a leading authority in the field. The distinguished Russian mathematician A. N. Kolmogorov wrote this foundational text, and it remains important both to students beginning a serious study of the topic and to historians of modern mathematics. Suitable as a text for advanced undergraduates and graduate students in mathematics, the treatment begins with an introduction to the elementary th... Read More
This famous little book was first published in German in 1933 and in Russian a few years later, setting forth the axiomatic foundations of modern probability theory and cementing the author's reputation as a leading authority in the field. The distinguished Russian mathematician A. N. Kolmogorov wrote this foundational text, and it remains important both to students beginning a serious study of the topic and to historians of modern mathematics. Suitable as a text for advanced undergraduates and graduate students in mathematics, the treatment begins with an introduction to the elementary th... Read More
Description
This famous little book was first published in German in 1933 and in Russian a few years later, setting forth the axiomatic foundations of modern probability theory and cementing the author's reputation as a leading authority in the field. The distinguished Russian mathematician A. N. Kolmogorov wrote this foundational text, and it remains important both to students beginning a serious study of the topic and to historians of modern mathematics. Suitable as a text for advanced undergraduates and graduate students in mathematics, the treatment begins with an introduction to the elementary theory of probability and infinite probability fields. Subsequent chapters explore random variables, mathematical expectations, and conditional probabilities and mathematical expectations. The book concludes with a chapter on the law of large numbers, an Appendix on zero-or-one in the theory of probability, and detailed bibliographies.
Reprint of the Chelsea Publishing Company, New York, 1956 second edition.
Details
Price: $12.95
Pages: 96
Publisher: Dover Publications
Imprint: Dover Publications
Series: Dover Books on Mathematics
Publication Date: 18th April 2018
Trim Size: 6 x 9 in
ISBN: 9780486821597
Format: Paperback
BISACs: MATHEMATICS / Probability & Statistics / General
Author Bio
A. N. (Andreĭ Nikolaevich) Kolmogorov (1903–87) was a prominent Russian mathematician who made significant contributions to many areas of math, including probability theory, topology, logic, turbulence, and mechanics. His other Dover books are Introductory Real Analysis, Elements of the Theory of Functions and Functional Analysis (with S.V. Fomin), and Mathematics, Its Content, Methods and Meaning (with A. D. Aleksandrov and M. A. Lavrent'ev). In his many years on the faculty of Moscow State University, Dr. Kolmogorov's doctoral students included several who became prominent 20th-century mathematicians.
Table of Contents
Table of Contents: Editor's Note Preface 1. Elementary Theory of Probability 2. Infinite Probability Fields 3. Random Variables 4. Mathematical Expectations 5. Conditional Probabilities and Mathematical Expectations 6. Independence: The Law of Large Numbers Appendix Bibliography Notes to Supplementary Bibliography Supplementary Bibliography
This famous little book was first published in German in 1933 and in Russian a few years later, setting forth the axiomatic foundations of modern probability theory and cementing the author's reputation as a leading authority in the field. The distinguished Russian mathematician A. N. Kolmogorov wrote this foundational text, and it remains important both to students beginning a serious study of the topic and to historians of modern mathematics. Suitable as a text for advanced undergraduates and graduate students in mathematics, the treatment begins with an introduction to the elementary theory of probability and infinite probability fields. Subsequent chapters explore random variables, mathematical expectations, and conditional probabilities and mathematical expectations. The book concludes with a chapter on the law of large numbers, an Appendix on zero-or-one in the theory of probability, and detailed bibliographies.
Reprint of the Chelsea Publishing Company, New York, 1956 second edition.
Price: $12.95
Pages: 96
Publisher: Dover Publications
Imprint: Dover Publications
Series: Dover Books on Mathematics
Publication Date: 18th April 2018
Trim Size: 6 x 9 in
ISBN: 9780486821597
Format: Paperback
BISACs: MATHEMATICS / Probability & Statistics / General
A. N. (Andreĭ Nikolaevich) Kolmogorov (1903–87) was a prominent Russian mathematician who made significant contributions to many areas of math, including probability theory, topology, logic, turbulence, and mechanics. His other Dover books are Introductory Real Analysis, Elements of the Theory of Functions and Functional Analysis (with S.V. Fomin), and Mathematics, Its Content, Methods and Meaning (with A. D. Aleksandrov and M. A. Lavrent'ev). In his many years on the faculty of Moscow State University, Dr. Kolmogorov's doctoral students included several who became prominent 20th-century mathematicians.
Table of Contents: Editor's Note Preface 1. Elementary Theory of Probability 2. Infinite Probability Fields 3. Random Variables 4. Mathematical Expectations 5. Conditional Probabilities and Mathematical Expectations 6. Independence: The Law of Large Numbers Appendix Bibliography Notes to Supplementary Bibliography Supplementary Bibliography
