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

Dati bibliografici

• Titolo: The Joy of Sets: Fundamentals of Contemporary Set Theory
• Editore: Springer
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 0387940944
• ISBN 13: 9780387940946
• Rilegatura: Hardcover
• Edizione: 2. Auflage
• Condizione: Gut
• Cataloghi dei venditori:
  • Mathematik

Descrizione articolo

Riassunto

This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is either an advanced-level mathematics undergraduate, a beginning graduate student in mathematics, or an accomplished mathematician who desires or needs some familiarity with modern set theory. The book is written in a fairly easy-going style, with minimal formalism. In Chapter 1, the basic principles of set theory are developed in a 'naive' manner. Here the notions of 'set', 'union', 'intersection', 'power set', 'rela­ tion', 'function', etc., are defined and discussed. One assumption in writing Chapter 1 has been that, whereas the reader may have met all of these 1 concepts before and be familiar with their usage, she may not have con­ sidered the various notions as forming part of the continuous development of a pure subject (namely, set theory). Consequently, the presentation is at the same time rigorous and fast.

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