Discovering Modern Set Theory Set Theoretic Tools For Every Mathemataician
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Author | : Winfried Just |
Publisher | : American Mathematical Soc. |
Total Pages | : 240 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 0821805282 |
This is the second volume of a two-volume graduate text in set theory. The first volume covered the basics of modern set theory and was addressed primarily to beginning graduate students. The second volume is intended as a bridge between introductory set theory courses such as the first volume and advanced monographs that cover selected branches of set theory. The authors give short but rigorous introductions to set-theoretic concepts and techniques such as trees, partition calculus, cardinal invariants of the continuum, Martin's Axiom, closed unbounded and stationary sets, the Diamond Principle, and the use of elementary submodels. Great care is taken to motivate concepts and theorems presented.
Author | : Winfried Just |
Publisher | : |
Total Pages | : 224 |
Release | : 1997 |
Genre | : Set theory |
ISBN | : 9780821805282 |
Author | : |
Publisher | : |
Total Pages | : |
Release | : 1997 |
Genre | : Set theory |
ISBN | : |
Author | : Winfried Just |
Publisher | : American Mathematical Soc. |
Total Pages | : 230 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 0821802666 |
This book bridges the gap between the many elementary introductions to set theory that are available today and the more advanced, specialized monographs. The authors have taken great care to motivate concepts as they are introduced. The large number of exercises included make this book especially suitable for self-study. Students are guided towards their own discoveries in a lighthearted, yet rigorous manner.
Author | : Winfried Just |
Publisher | : |
Total Pages | : 224 |
Release | : 1997 |
Genre | : |
ISBN | : |
Author | : Winfried Just and Martin Weese |
Publisher | : American Mathematical Soc. |
Total Pages | : 244 |
Release | : |
Genre | : Set theory |
ISBN | : 9780821872086 |
Author | : Winfried Just |
Publisher | : |
Total Pages | : |
Release | : 1996 |
Genre | : Set theory |
ISBN | : |
Author | : Judith Roitman |
Publisher | : John Wiley & Sons |
Total Pages | : 188 |
Release | : 1990-01-16 |
Genre | : Mathematics |
ISBN | : 9780471635192 |
This is modern set theory from the ground up--from partial orderings and well-ordered sets to models, infinite cobinatorics and large cardinals. The approach is unique, providing rigorous treatment of basic set-theoretic methods, while integrating advanced material such as independence results, throughout. The presentation incorporates much interesting historical material and no background in mathematical logic is assumed. Treatment is self-contained, featuring theorem proofs supported by diagrams, examples and exercises. Includes applications of set theory to other branches of mathematics.
Author | : José Ferreirós |
Publisher | : Springer Science & Business Media |
Total Pages | : 486 |
Release | : 2008-10-04 |
Genre | : Mathematics |
ISBN | : 376438350X |
"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century." --Bulletin of Symbolic Logic (Review of first edition)
Author | : Krzysztof Ciesielski |
Publisher | : Cambridge University Press |
Total Pages | : 256 |
Release | : 1997-08-28 |
Genre | : Mathematics |
ISBN | : 9780521594653 |
Presents those methods of modern set theory most applicable to other areas of pure mathematics.