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The Joy of Sets Keith Devlin

The Joy of Sets By Keith Devlin

The Joy of Sets by Keith Devlin


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Summary

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.

The Joy of Sets Summary

The Joy of Sets: Fundamentals of Contemporary Set Theory by Keith Devlin

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

Additional information

NPB9780387940946
9780387940946
0387940944
The Joy of Sets: Fundamentals of Contemporary Set Theory by Keith Devlin
New
Hardback
Springer-Verlag New York Inc.
1994-06-24
194
N/A
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