Published by Holden Day, 1970

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**Synopsis:** Taking an innovative approach to both content and methods, this book explores the foundations, basic concepts, and fundamental results of probability theory. Geared toward those unfamiliar with probability theory, it offers a firm basis for the study of topics related to the probability of mathematical statistics and to information theory.

The effective construction of probability spaces receives particular attention. Author Alfred Rényi—former Director of the Mathematical Institute of the Hungarian Academy of Sciences and an expert in the fields of probability theory, mathematical statistics, and number theory—considered effective construction of probability spaces particularly important to applying methods and results of probability theory to other branches of mathematics. Professor Rényi discusses basic theorems of probability theory in terms specific to the theorem in question, rather than in the most general form. His rigorous treatment also covers the mathematical notions of experiments and independence, the laws of chance for independent random variables, and the effects of dependence. Two brief appendixes offer helpful background in measure theory and functional analysis.

**About the Author:**
Alfred Renyi was Director of the Mathematical Institute of the Hungarian Academy of Sciences.

**Alfred Renyi: The Happy Mathematician**Alfred Renyi (1921–1970) was one of the giants of twentieth-century mathematics who, during his relatively short life, made major contributions to combinatorics, graph theory, number theory, and other fields.

Reviewing *Probability Theory* and *Foundations of Probability* simultaneously for the *Bulletin of the American Mathematical Society* in 1973, Alberto R. Galmarino wrote:

"Both books complement each other well and have, as said before, little overlap. They represent nearly opposite approaches to the question of how the theory should be presented to beginners. Rényi excels in both approaches. *Probability Theory* is an imposing textbook. *Foundations* is a masterpiece."

**In the Author's Own Words:**"If I feel unhappy, I do mathematics to become happy. If I am happy, I do mathematics to keep happy."

"Can the difficulty of an exam be measured by how many bits of information a student would need to pass it? This may not be so absurd in the encyclopedic subjects but in mathematics it doesn't make any sense since things follow from each other and, in principle, whoever knows the bases knows everything. All of the results of a mathematical theorem are in the axioms of mathematics in embryonic form, aren't they?" — Alfred Rényi

Title: **Foundations of Probability**

Publisher: **Holden Day**

Publication Date: **1970**

Binding: **Hardcover**

Book Condition: **Used: Good**

Published by
Holden Day
(1970)

ISBN 10: 0816271143
ISBN 13: 9780816271146

Used
Hardcover
Quantity Available: 1

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**Book Description **Holden Day, 1970. Hardcover. Book Condition: Used: Acceptable. Ex-Library hardcover no dj (blue boards) with all the usual markings, attachments, and library wear. Frayed corners. Text block clean and unmarked. Tight binding. Bookseller Inventory # GL17A34286

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Published by
Holden Day
(1970)

ISBN 10: 0816271143
ISBN 13: 9780816271146

Used
Hardcover
Quantity Available: 1

Seller:

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**Book Description **Holden Day, 1970. Hardcover. Book Condition: Very Good. Dust Jacket Condition: Good. Name inscribed on first end page. No writing or highlighting. Dust cover has some edge wear but is protected in archival brodart. Bookseller Inventory # 4422305

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Published by
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(1970)

ISBN 10: 0816271143
ISBN 13: 9780816271146

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Hardcover
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**Book Description **Holden Day, 1970. Hardcover. Book Condition: Very Good. Great condition with minimal wear, aging, or shelf wear. Bookseller Inventory # P020816271143

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Published by
Holden Day
(1970)

ISBN 10: 0816271143
ISBN 13: 9780816271146

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**Book Description **Holden Day, 1970. Hardcover. Book Condition: New. Never used!. Bookseller Inventory # P110816271143

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Published by
Holden Day
(1970)

ISBN 10: 0816271143
ISBN 13: 9780816271146

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**Book Description **Holden Day, 1970. Hardcover. Book Condition: Good. 1st. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. Buy with confidence, excellent customer service!. Bookseller Inventory # 0816271143

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