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Set Theory for the Working Mathematician

Name: Set Theory for the Working Mathematician
Brand: Cambridge University Press
SKU: 02036777
Price: 70.29 EUR
Availability: InStock
Author: Krzysztof Ciesielski
ISBN: 9780521594653

Krzysztof Ciesielski

Lingua

Inglese

Libro In brossura

Codice Libristo: 02036777

Casa editrice Cambridge University Press, agosto 1997

This text presents methods of modern set theory as tools that can be usefully applied to other areas... Descrizione completa

Codice Libristo: 02036777

172 b

70.29 €

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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.