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BL
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| Record Number
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627684
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| Doc. No
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dltt
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| Main Entry
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Devlin, Keith J.
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| Title & Author
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The joy of sets : : fundamentals of contemporary set theory /\ Keith Devlin.
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| Edition Statement
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2nd ed.
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| Publication Statement
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New York :: Springer-Verlag,, c1993.
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| Series Statement
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Undergraduate texts in mathematics
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| Page. NO
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x, 192 p. :: ill. ;; 24 cm.
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| ISBN
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3540940944 (Berlin : acid-free paper)
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: 9783540940944 (Berlin : acid-free paper)
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: 0387940944 (New York : acid-free paper)
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: 9780387940946 (New York : acid-free paper)
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| Notes
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Rev. ed. of: Fundamentals of contemporary set theory. c1979.
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| Bibliographies/Indexes
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Includes bibliographical references (p. 185) and index.
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| Contents
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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.
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| Abstract
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"This book provides an account of those parts of contemporary set theory that are relevant to other areas of pure mathematics. Intended for advanced undergraduates and beginning graduate students, the text is written in an easy-going style, with a minimum of formalism. The book begins with a review of "naive" set theory; it then develops the Zermelo-Fraenkel axioms of the theory, showing how they arise naturally from a rigorous answer to the question, "what is a set?" After discussing the ordinal and cardinal numbers, the book then delves into contemporary set theory, covering such topics as: the Borel hierarchy, stationary sets and regressive functions, and Lebesgue measure. Two chapters present an extension of the Zermelo-Fraenkel theory, discussing the axiom of constructibility and the question of provability in set theory. A final chapter presents an account of an alternative conception of set theory that has proved useful in computer science, the non-well-founded set theory of Peter Aczel"--Back cover.
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| Subject
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Set theory.
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| LC Classification
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QA248.D38 1993
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| Added Entry
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Devlin, Keith J.
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