Naive Set Theory / Edition 1
  • Naive Set Theory / Edition 1
  • Naive Set Theory / Edition 1
  • Naive Set Theory / Edition 1
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Naive Set Theory / Edition 1

by P. R. Halmos
     
 

From the Reviews:

"...He (the author) uses the language and notation of ordinary informal mathematics to state the basic set-theoretic facts which a beginning student of advanced mathematics needs to know.
...Because of the informal method of presentation, the book is eminently suited for use as a textbook or for self-study. The reader should derive from… See more details below

Overview

From the Reviews:

"...He (the author) uses the language and notation of ordinary informal mathematics to state the basic set-theoretic facts which a beginning student of advanced mathematics needs to know.
...Because of the informal method of presentation, the book is eminently suited for use as a textbook or for self-study. The reader should derive from this volume a maximum of understanding of the theorems of set theory and of their basic importance in the study of mathematics."
Philosophy and Phenomenological Research

Product Details

ISBN-13:
9780387900926
Publisher:
Springer New York
Publication date:
10/28/1974
Series:
Undergraduate Texts in Mathematics Series
Edition description:
1974
Pages:
104
Sales rank:
1,300,056
Product dimensions:
6.00(w) x 9.00(h) x 0.30(d)

Table of 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 Schröder-Bernstein Theorem.- 23 Countable Sets.- 24 Cardinal Arithmetic.- 25 Cardinal Numbers.

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