The joy of sets : fundamentals of contemporary set theory
著者
書誌事項
The joy of sets : fundamentals of contemporary set theory
（Undergraduate texts in mathematics）
Springer Science+Business Media, c1993
2nd ed
- : pbk
- タイトル別名
-
Fundamentals of contemporary set theory
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注記
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
内容説明・目次
内容説明
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.
目次
- 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
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