The joy of sets : fundamentals of contemporary set theory
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Bibliographic Information
The joy of sets : fundamentals of contemporary set theory
（Undergraduate texts in mathematics）
Springer Science+Business Media, c1993
2nd ed
- : pbk
- Other Title
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Fundamentals of contemporary set theory
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Note
Rev. ed. of: Fundamentals of contemporary set theory. c1979
Originally published by Springer-Verlag New York, Inc in 1993
Includes bibliographical references (p. 185) and index
Description and Table of Contents
Description
This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naive" set theory, it develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers. It then delves into contemporary set theory, covering such topics as the Borel hierarchy and Lebesgue measure. A final chapter presents an alternative conception of set theory useful in computer science.
Table of Contents
- Preface
- 1. Naive Set Theory
- 2. The Zermelo-Fraenkel Axioms
- 3. Ordinal and Cardinal Numbers
- 4. Topics in Pure Set Theory
- 5. The Axiom of Constructibility
- 6. Independence Proofs in Set Theory
- 7. Non-Well-Founded Set Theory
- Bibliography
- Glossary of Symbols
- Index
by "Nielsen BookData"