Technical The Joy of Sets: Fundamentals of Contemporary Set Theory (0387940944)

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The Joy of Sets: Fundamentals of Contemporary Set Theory

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.

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	Science/Engineering Descriptive Set Theory and the Structure of Sets of Uniqueness Alexander S. Kechris, Alain Louveau “Descriptive Set Theory and the Structure of Sets of Uniqueness" Cambridge University Press \| 1987-11-27 \| ISBN:0521358116 \| Djvu \| 384 pages \| 14,5 Mb The authors present some surprising connections ...
	The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics) The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics)Springer, 1994-06-24 \| ISBN: 0387940944 \| PDF \| 212 pages \| 1.32 MBThis book provides an account of those parts of contemporary set theory that are ...
	Science/Engineering A Theory of Sets, 2nd Edition Anthony P. Morse “A Theory of Sets, 2nd Edition" Academic Pr \| 1986-04 \| ISBN: 0125079524 \| 179 pages \| PDF \| 4,6 MB depositfiles.com filefactory --- No mirrors, please --- A mirror please!Depositfiles and filefactory became ...
	Science/Engineering Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers, Vol. 1 Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers, Vol. 1North Holland \| ISBN: 0444894837 \| 1999-10-01 \| PDF \| 660 pages \| 26 Mb Paperback. 1988 marked the first centenary of Recursion Theory, since Dedekind's ...
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	A Theory of Sets (Pure and Applied Mathematics (Academic Pr)) A Theory of Sets (Pure and Applied Mathematics (Academic Pr))Academic Pr \| ISSN: 0125079524 \| 1986-04 \| PDF \| 179 Pages \| 3,6 Mb DownloadMirror

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