The Joy of Sets

Fundamentals of Contemporary Set Theory

Paperback Engels 2012 2e druk 9781461269410
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Samenvatting

This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naïve" 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.

Specificaties

ISBN13:9781461269410
Taal:Engels
Bindwijze:paperback
Aantal pagina's:194
Uitgever:Springer New York
Druk:2

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Inhoudsopgave

Preface; 1. Naïve 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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        The Joy of Sets