The Joy of Sets: Fundamentals of Contemporary Set Theory

Devlin, Keith

ISBN 10: 0387940944 / ISBN 13: 9780387940946

Editore: Springer, 1993

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Original Pappband. Gr.8°. (24 x 16 cm). X, 192 Seiten. Einband wenig berieben. Ecken leicht angestoßen. Ex-Libris Stempel auf fliegendem Blatt. Ansonsten innen in sehr sauberem Zustand, ohne weitere Eintragungen. (Oktav-438g). Wir versenden versichert mit Hermes. Auf Anfrage ist eine alternative Versandart möglich. Codice articolo 233505-5438F

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Titolo: The Joy of Sets: Fundamentals of ...

Casa editrice: Springer

Data di pubblicazione: 1993

Legatura: Hardcover

Condizione: Gut

Edizione: 2. Auflage

Descrizione articolo

Riassunto:

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.

Contenuti:

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