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Elements of Set Theory
1st Edition - April 28, 1977
Author: Herbert B. Enderton
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This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the… Read more
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This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.
Undergraduate students interested in set theory.
List of Symbols
Chapter 1 Introduction
Baby Set Theory
Sets—An Informal View
Chapter 2 Axioms and Operations
Arbitrary Unions and Intersections
Algebra of Sets
Chapter 3 Relations and Functions
Infinite Cartesian Products
Chapter 4 Natural Numbers
Recursion on ω
Ordering on ω
Chapter 5 Construction of the Real Numbers
Chapter 6 Cardinal Numbers and the Axiom of Choice