The Joy of Sets

The Joy of Sets : Fundamentals of Contemporary Set Theory

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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.
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Product details

  • Hardback | 194 pages
  • 155 x 235 x 19.56mm | 1,050g
  • New York, NY, United States
  • English
  • Revised
  • 2nd ed. 1993. Corr. 2nd printing 1994
  • X, 194 p.
  • 0387940944
  • 9780387940946
  • 752,721

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
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10 ratings
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