Set Theory for the Working Mathematician
Set Theory for the Working Mathematician
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Summary
This text concentrates on the typical methods of modern set theory: transfinite induction, Zorn's Lemma, the Continuum Hypothesis, Martin's Axiom, the Diamond Principle and elements of forcing. It supplies students and researchers with the tools most applicable to other areas of pure mathematics, such as abstract geometry, real analysis, topology, and algebra.
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Set Theory for the Working Mathematician by Krzysztof Ciesielski
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.
' … the author has produced a very valuable resource for the working mathematicianPostgraduates and established researchers in many (perhaps all) areas of mathematics will benefit from reading it.' Ian Tweddle, Proceedings of the Edinburgh Mathematical Society
Ciesielski, Krzysztof: - Krzysztof Ciesielski is Professor of Mathematics at West Virginia University.
| SKU | Unavailable |
| ISBN 13 | 9780521594417 |
| ISBN 10 | 0521594413 |
| Title | Set Theory for the Working Mathematician |
| Author | Krzysztof Ciesielski |
| Series | London Mathematical Society Student Texts |
| Condition | Unavailable |
| Publisher | Cambridge University Press |
| Year published | 1997-08-28 |
| Number of pages | 252 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |