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Naive set theory,

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

Suited for use as a textbook or for self-study, this work provides an understanding of the theorems of set theory and of their basic importance in the study of mathematics.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Paul R Halmos
ISBN: 0387900926 9780387900926
OCLC Number: 947951
Notes: Reprint of the 1960 ed. published by Van Nostrand, Princeton, N.J., in series: The University series in undergraduate mathematics.
Description: vii, 104 pages 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 Schröder-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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