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An Outline of Set Theory

Author: James M Henle
Publisher: New York, NY : Springer New York, 1986.
Series: Problem Books in Mathematics; Problem books in mathematics
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is an innovative problem-oriented introduction to undergraduate set theory. It is intended to be used in a course in which the students work in groups on projects and present their solutions to the class. Students completing such a course come away with a deeper understanding of the material, as well as a clearer view of what it means to do mathematics. The topics covered include standard undergraduate set  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: James M Henle
ISBN: 9781461386803 1461386802 9780387963686 0387963685
OCLC Number: 858882015
Description: 1 online resource.
Contents: One Projects --
1. Logic and Set Theory --
2. The Natural Numbers --
3. The Integers --
4. The Rationals --
5. The Real Numbers --
6. The Ordinals --
7. The Cardinals --
8. The Universe --
9. Choice and Infinitesimals --
10. Goodstein's Theorem --
Two Suggestions --
1. Logic and Set Theory --
2. The Natural Numbers --
3. The Integers --
4. The Rationals --
5. The Real Numbers --
6. The Ordinals --
7. The Cardinals --
8. The Universe --
9. Choice and Infinitesimals --
10. Goodstein's Theorem --
Three Solutions --
1. Logic and Set Theory --
2. The Natural Numbers --
3. The Integers --
4. The Rationals --
5. The Real Numbers --
6. The Ordinals --
7. The Cardinals --
8. The Universe --
9. Choice and Infinitesimals --
10. Goodstein's Theorem.
Series Title: Problem Books in Mathematics; Problem books in mathematics
Responsibility: by James M. Henle.

Abstract:

This book is an innovative problem-oriented introduction to undergraduate set theory. It is intended to be used in a course in which the students work in groups on projects and present their solutions to the class. Students completing such a course come away with a deeper understanding of the material, as well as a clearer view of what it means to do mathematics. The topics covered include standard undergraduate set theory, as well as some material on nonstandard analysis, large cardinals, and Goodstein's Theorem. AN OUTLINE OF SET THOERY is organized into three parts: the first contains definitions and statements of problems, the second contains suggestions for their solution, and the third contains complete solutions.

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