+612 9045 4394
The Joy of Sets : Fundamentals of Contemporary Set Theory :  Fundamentals of Contemporary Set Theory - Keith Devlin

The Joy of Sets : Fundamentals of Contemporary Set Theory

Fundamentals of Contemporary Set Theory

Hardcover Published: August 1993
ISBN: 9780387940946
Number Of Pages: 194

Share This Book:


or 4 easy payments of $27.76 with Learn more
Ships in 7 to 10 business days

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. 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.

Naive Set Theoryp. 1
The Zermelo-Fraenkel Axiomsp. 29
Ordinal and Cardinal Numbersp. 66
Topics in Pure Set Theoryp. 101
The Axiom of Constructibilityp. 120
Independence Proofs in Set Theoryp. 130
Non-Well-Founded Set Theoryp. 143
Bibliographyp. 185
Glossary of Symbolsp. 185
Indexp. 189
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387940946
ISBN-10: 0387940944
Series: Undergraduate Texts in Mathematics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 194
Published: August 1993
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.23 x 15.88  x 1.96
Weight (kg): 0.51
Edition Number: 2
Edition Type: Revised