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Naive set theory

Author: Paul R Halmos
Publisher: New York : Springer-Verlag, 1974.
Series: Undergraduate texts in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Every mathematician agrees that every mathematician must know some set theory; The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life,  Read more...

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Document Type: Book
All Authors / Contributors: Paul R Halmos
ISBN: 0387900926 9780387900926
OCLC Number: 422932422
Description: vii, 104 p. ; 24 cm.
Contents: 1 The Axiom of Extension.- 2 The Axiom of Specification.- 3 Unordered Pairs.- 4 Unions and Intersections.- 5 Complements and Powers.- 6 Ordered Pairs.- 7 Relations.- 8 Functions.- 9 Families.- 10 Inverses and Composites.- 11 Numbers.- 12 The Peano Axioms.- 13 Arithmetic.- 14 Order.- 15 The Axiom of Choice.- 16 Zorn's Lemma.- 17 Well Ordering.- 18 Transfinite Recursion.- 19 Ordinal Numbers.- 20 Sets of Ordinal Numbers.- 21 Ordinal Arithmetic.- 22 The Schroeder-Bernstein Theorem.- 23 Countable Sets.- 24 Cardinal Arithmetic.- 25 Cardinal Numbers.
Series Title: Undergraduate texts in mathematics.
Responsibility: by Paul R. Halmos.
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From the reviews:"This book is a very specialized but broadly useful introduction to set theory. It is aimed at `the beginning student of advanced mathematics' ... who wants to understand the Read more...

 
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