Discovering Modern Set Theory I The Basics

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Discovering Modern Set Theory. I: The Basics

Author: Winfried Just
language: en
Publisher: American Mathematical Soc.
Release Date: 1996
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.
Discovering Modern Set Theory. II: Set-Theoretic Tools for Every Mathematician

Author: Winfried Just
language: en
Publisher: American Mathematical Soc.
Release Date: 1996
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.
Discovering Modern Set Theory. II: Set-Theoretic Tools for Every Mathematician

Author: Winfried Just and Martin Weese
language: en
Publisher: American Mathematical Soc.
Release Date:
The second in a two-volume text for a graduate course or self- study in set theory. Volume I would be the best prerequisite, but any background would suffice that supplied a basic naive and axiomatic knowledge of set theory, and some knowledge of mathematical logic and general topology. Introduces various set- theory techniques that have been fertile applied in other fields. Bibliographic references are minimal. The member price is $29. Annotation copyrighted by Book News, Inc., Portland, OR