The Joy of Sets

Fundamentals of Contemporary Set Theory

By:

Keith Devlin

Format:

Hardback

Series:

Undergraduate Texts in Mathematics

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Description

This book is intended to provide 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. The author is a well-known mathematician and the editor of the "Computers in Mathematics" column in the AMS Notices and of FOCUS, the magazine published by the MAA.

Release date Australia

August 3rd, 1993

Author

Keith Devlin

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Edition

2nd ed. 1993

Illustrations

X, 194 p.

Pages

194

Series

Undergraduate Texts in Mathematics

Dimensions

155x235x12

ISBN-13

9780387940946

Product ID

3069284

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