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Classic Set Theory for Guided Independent Study

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ISBN-10: 0412606100

ISBN-13: 9780412606106

Edition: 1996

Authors: Derek C. Goldrei

List price: $71.95
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Description:

Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes:The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbersDefining natural numbers in terms of setsThe potential paradoxes in set theoryThe Zermelo-Fraenkel axioms for set theoryThe axiom of choiceThe arithmetic of ordered setsCantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these.The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the…    
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Book details

List price: $71.95
Copyright year: 1996
Publisher: C R C Press LLC
Publication date: 7/1/1996
Binding: Paperback
Pages: 296
Size: 8.50" wide x 10.25" long x 0.75" tall
Weight: 1.716
Language: English

Preface
Introduction
The Real Numbers
The Natural Numbers
The Zermelo-Fraenkel Axioms
The Axiom of Choice
Cardinals (without the Axiom of Choice)
Ordered Sets
Ordinal Numbers
Set Theory with the Axiom of Choice
Bibliography
Index