Set theory for the working mathematician / Krzysztof Ciesielski.
By: Ciesielski, Krzysztof [author]
Language: English Publisher: Cambridge: Cambridge University Press, c2012Description: 1 online resource (xi, 236 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9781139173131Subject(s): Set theoryGenre/Form: Electronic books.DDC classification: 511.322 Online resources: Full text available at Cambridge University Press Click here to view Summary: This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a discussion of some of its applications. The author then develops the notions of transfinite induction and descriptive set theory, with applications to the theory of real functions. The final part of the book presents the tools of "modern" set theory: Martin's Axiom, the Diamond Principle, and elements of forcing. Written primarily as a text for beginning graduate or advanced level undergraduate students, this book should also interest researchers wanting to learn more about set theoretical techniques applicable to their fields.| Item type | Current location | Home library | Call number | Status | Date due | Barcode | Item holds |
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COLLEGE LIBRARY | COLLEGE LIBRARY LIC Gateway | 511.322 C487 2012 (Browse shelf) | Available | CL-46256 |
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| 511 Sa362 2013 Computation and automata / | 511.313 P337 2021 Introduction to fuzzy logic / | 511.32 C27 2012 Finite ordered sets : concepts, results and uses / | 511.322 C487 2012 Set theory for the working mathematician / | 511.322 Sch342 2012 A course on set theory / | 511.5 Ev23 2012 Graph algorithms / | 511.6 C733 2013 Combinatorics, automata, and number theory / |
Includes bibliographical references (p. 225-227) and index.
This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a discussion of some of its applications. The author then develops the notions of transfinite induction and descriptive set theory, with applications to the theory of real functions. The final part of the book presents the tools of "modern" set theory: Martin's Axiom, the Diamond Principle, and elements of forcing. Written primarily as a text for beginning graduate or advanced level undergraduate students, this book should also interest researchers wanting to learn more about set theoretical techniques applicable to their fields.
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