Set Theory for the Working Mathematician

Krzysztof Ciesielski (West Virginia University), J. Bruce

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English

Cambridge University Press
26 January 1998

Mathematics & Sciences; Mathematical logic; Set theory

Series: London Mathematical Society Student Texts

"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."

By: Krzysztof Ciesielski (West Virginia University)
Series edited by: J. Bruce
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: No.39
Dimensions: Height: 229mm, Width: 152mm, Spine: 15mm
Weight: 345g
ISBN: 9780521594653
ISBN 10: 0521594650
Series: London Mathematical Society Student Texts
Pages: 252
Publication Date: 26 January 1998
Audience: Professional and scholarly , Undergraduate
Format: Other merchandise
Publisher's Status: Active

Reviews for Set Theory for the Working Mathematician

' ... the author has produced a very valuable resource for the working mathematician. Postgraduates and established researchers in many (perhaps all) areas of mathematics will benefit from reading it.' Ian Tweddle, Proceedings of the Edinburgh Mathematical Society