The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics 2nd ed. 1993. Corr. 2nd printing 1994)

The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics 2nd ed. 1993. Corr. 2nd printing 1994)

By: Keith Devlin (author)Hardback

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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.

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

Product Details

  • ISBN13: 9780387940946
  • Format: Hardback
  • Number Of Pages: 194
  • ID: 9780387940946
  • weight: 1050
  • ISBN10: 0387940944
  • edition: 2nd ed. 1993. Corr. 2nd printing 1994

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