Set Theory for the Working Mathematician (London Mathematical Society Student Texts, Series Number 39) - Softcover

Ciesielski, Krzysztof

Softcover

ISBN 10: 0521594650 ISBN 13: 9780521594653

Publisher: Cambridge University Press, 1997

Synopsis

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...

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About this title

Book Description

This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics, such as abstract geometry, real analysis, and, in some cases, topology and algebra. These methods include transfinite induction, Zorn's Lemma, the Continuum Hypothesis, 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...

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Review

"The book contains a large amount of interesting and well-presented material on transfinite recursion and transfinite induction and a very good introduction to Martin's axiom. The short discussion of forcing can give the reader a first glimplse at the method. The treatment of mathematical logic is too sketchy to be of any realuse and may be a source of confusion." Journal of Symbolic Logic

"...a very valuable resource for the...

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Edition details

• Publisher: Cambridge University Press
• Publication date: 1997
• ISBN 10: 0521594650
• ISBN 13: 9780521594653
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 236