Revised edition intended as a primary text for mathematics courses. Basic material covered includes: relations, functions, and orderings; finite, countable, and uncountable sets; and cardinal and ordinal numbers. Advanced material discussed includes the Axiom of Choice, filters, ultrafilters, closed
Introduction to modern set theory
β Scribed by Judith Roitman
- Book ID
- 127404672
- Publisher
- Wiley
- Year
- 1990
- Tongue
- English
- Weight
- 995 KB
- Series
- Pure and applied mathematics
- Category
- Library
- City
- New York
- ISBN-13
- 9780471635192
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the conΒ sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Note
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