Read 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)

Keith Devlin

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Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics). To get started finding The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0387940944

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics). To get started finding The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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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)

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