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The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics) - Softcover
Inhaltsangabe
This new edition has been completely rewritten; it includes a new chapter on non-well-founded set theory, a subject of considerable importance in computer science. Written in an easy-to-follow, intuitive style, the book is intended for upper-level undergraduate or beginning graduate students in mathematics, logic, philosophy, or computer science.
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This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naïve" set theory, it develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers. It then delves into contemporary set theory, covering such topics as the Borel hierarchy and Lebesgue measure. A final chapter presents an alternative conception of set theory useful in computer science.
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The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics)
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The Joy of Sets
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The Joy of Sets
Verlag:
Springer New York, Springer New York Okt 2012, 2012
ISBN 10: 1461269415
ISBN 13: 9781461269410
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Taschenbuch. Zustand: Neu. Neuware -This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is either an advanced-level mathematics undergraduate, a beginning graduate student in mathematics, or an accomplished mathematician who desires or needs some familiarity with modern set theory. The book is written in a fairly easy-going style, with minimal formalism. In Chapter 1, the basic principles of set theory are developed in a 'naive' manner. Here the notions of 'set', 'union', 'intersection', 'power set', 'rela tion', 'function', etc., are defined and discussed. One assumption in writing Chapter 1 has been that, whereas the reader may have met all of these 1 concepts before and be familiar with their usage, she may not have con sidered the various notions as forming part of the continuous development of a pure subject (namely, set theory). Consequently, the presentation is at the same time rigorous and fast.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 208 pp. Englisch. Artikel-Nr. 9781461269410
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The Joy of Sets : Fundamentals of Contemporary Set Theory
Verlag:
Springer New York, Springer New York, 2012
ISBN 10: 1461269415
ISBN 13: 9781461269410
Neu
Taschenbuch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is either an advanced-level mathematics undergraduate, a beginning graduate student in mathematics, or an accomplished mathematician who desires or needs some familiarity with modern set theory. The book is written in a fairly easy-going style, with minimal formalism. In Chapter 1, the basic principles of set theory are developed in a 'naive' manner. Here the notions of 'set', 'union', 'intersection', 'power set', 'rela tion', 'function', etc., are defined and discussed. One assumption in writing Chapter 1 has been that, whereas the reader may have met all of these 1 concepts before and be familiar with their usage, she may not have con sidered the various notions as forming part of the continuous development of a pure subject (namely, set theory). Consequently, the presentation is at the same time rigorous and fast. Artikel-Nr. 9781461269410
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