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Set Theory and the Continuum Hypothesis

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Set Theory and the Continuum Hypothesis Cover

 

Synopses & Reviews

Publisher Comments:

This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The independence of the continuum hypothesis is the focus of this study by Paul J. Cohen. It presents not only an accessible technical explanation of the author's landmark proof but also a fine introduction to mathematical logic. An emeritus professor of mathematics at Stanford University, Dr. Cohen won two of the most prestigious awards in mathematics: in 1964, he was awarded the American Mathematical Society's Bôcher Prize for analysis; and in 1966, he received the Fields Medal for Logic.

In this volume, the distinguished mathematician offers an exposition of set theory and the continuum hypothesis that employs intuitive explanations as well as detailed proofs. The self-contained treatment includes background material in logic and axiomatic set theory as well as an account of Kurt Gödel's proof of the consistency of the continuum hypothesis. An invaluable reference book for mathematicians and mathematical theorists, this text is suitable for graduate and postgraduate students and is rich with hints and ideas that will lead readers to further work in mathematical logic.

Book News Annotation:

This is a paperbound reprint of the 1966 edition published by W.A. Benjamin. Martin Davis provides a new introduction. Still in typescript, this text contains the lecture notes for a course Cohen (1934-2007) taught at Harvard in spring 1965, shortly after his work on the continuum hypothesis. His main goal was to demonstrate the independence of the hypothesis, but in order to keep the course as self-contained as possible, he included background material in logic and axiomatic set theory as well as Gdel's proof of the consistency of the hypothesis. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The award-winning author employs intuitive explanations and detailed proofs in this self-contained treatment. 1966 edition. Copyright renewed 1994.

Synopsis:

This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The award-winning author employs intuitive explanations and detailed proofs in this self-contained treatment. 1966 edition. Copyright renewed 1994.

About the Author

A renowned mathematician, professor, and theorist, the late Paul J. Cohen won two of the most prestigious awards in mathematics: the American Mathematical Society's Bôcher Prize in 1964, for analysis; and the Fields Medal, the "Nobel Prize" of mathematics, in 1966, for logic.

Table of Contents

General Background in Logic
Zermelo-Fraenkel Set Theory
The Consistsency of the Continuum Hypothesis and the Axiom of Choice
The Independence of the Continuum Hypothetis and the Axiom of Choice
References
 

Product Details

ISBN:
9780486469218
Author:
Cohen, Paul J
Publisher:
Dover Publications
Introduction by:
Davis, Martin
Introduction:
Davis, Martin
Author:
Mathematics
Author:
Cohen, Paul J.
Subject:
Set Theory
Subject:
Logic, symbolic and mathematical
Subject:
Mathematics : Set Theory
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20081231
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
190
Dimensions:
9.25 x 6.13 in 0.57 lb

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Related Subjects

Science and Mathematics » Mathematics » Set Theory

Set Theory and the Continuum Hypothesis Used Trade Paper
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Product details 190 pages Dover Publications - English 9780486469218 Reviews:
"Synopsis" by ,
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The award-winning author employs intuitive explanations and detailed proofs in this self-contained treatment. 1966 edition. Copyright renewed 1994.
"Synopsis" by ,
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The award-winning author employs intuitive explanations and detailed proofs in this self-contained treatment. 1966 edition. Copyright renewed 1994.
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