Foundations of the Theory of Probability (eBook)

A.N. Kolmogorov (Autor)

eBook Download: EPUB

2018
96 Seiten
Dover Publications (Verlag)
978-0-486-82979-1 (ISBN)

Infos

This famous little book remains a foundational text for the understanding of probability theory, important both to students beginning a serious study of probability and to historians of modern mathematics. 1956 second edition.

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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.

Autor

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.

Inhalt

Table of Contents:Editor's NotePreface1. Elementary Theory of Probability2. Infinite Probability Fields3. Random Variables4. Mathematical Expectations5. Conditional Probabilities and Mathematical Expectations6. Independence: The Law of Large NumbersAppendixBibliographyNotes to Supplementary BibliographySupplementary Bibliography

Produkt-Details

• Erscheint lt. Verlag: 19.3.2018
• Reihe/Serie: Dover Books on Mathematics
• Reihe/Serie: Dover Books on Mathematics
• Übersetzer: Nathan Morrison
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Schlagworte: 20th century mathematics • Abstract Lebesgue Integral • Abstract Lebesgue Integrals • advanced undergraduates • Bayes Theorem • Borel fields • conditional probabilities • Elementary Theory of Probability • foundational text • graduate students • Historical • history of modern mathematics • infinite probability fields • law of large numbers • leading authority in the field • Markov chains Axiom of continuity • Markov chains Axiom of continuity • mathematical expectations • Mathematics • modern probability theory • Probability Function • Probability functions • random variables • Tchebycheff inequality • Tchebycheff inequality • The Law of Large Numbers • The Law of Large Numbers • theory of probability
• ISBN-10: 0-486-82979-0 / 0486829790
• ISBN-13: 978-0-486-82979-1 / 9780486829791