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The Joy of Sets

Fundamentals of Contemporary Set Theory

  • Textbook
  • © 1993

Overview

Authors:
  1. Keith Devlin

    1. School of Science, Saint Mary’s College of California, Moraga, USA

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Part of the book series: Undergraduate Texts in Mathematics (UTM)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-x
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  2. Naive Set Theory

    • Keith Devlin
    Pages 1-28

  3. The Zermelo—Fraenkel Axioms

    • Keith Devlin
    Pages 29-65

  4. Ordinal and Cardinal Numbers

    • Keith Devlin
    Pages 66-100

  5. Topics in Pure Set Theory

    • Keith Devlin
    Pages 101-119

  6. The Axiom of Constructibility

    • Keith Devlin
    Pages 120-129

  7. Independence Proofs in Set Theory

    • Keith Devlin
    Pages 130-142

  8. Non-Well-Founded Set Theory

    • Keith Devlin
    Pages 143-184

  9. Back Matter

    Pages 185-194
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Keywords

About this book

This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is either an advanced-level mathematics undergraduate, a beginning graduate student in mathematics, or an accomplished mathematician who desires or needs some familiarity with modern set theory. The book is written in a fairly easy-going style, with minimal formalism. In Chapter 1, the basic principles of set theory are developed in a 'naive' manner. Here the notions of 'set', 'union', 'intersection', 'power set', 'rela­ tion', 'function', etc., are defined and discussed. One assumption in writing Chapter 1 has been that, whereas the reader may have met all of these 1 concepts before and be familiar with their usage, she may not have con­ sidered the various notions as forming part of the continuous development of a pure subject (namely, set theory). Consequently, the presentation is at the same time rigorous and fast.

Authors and Affiliations

  • School of Science, Saint Mary’s College of California, Moraga, USA

    Keith Devlin

Bibliographic Information

  • Book Title: The Joy of Sets

  • Book Subtitle: Fundamentals of Contemporary Set Theory

  • Authors: Keith Devlin

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-0903-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1993

  • Hardcover ISBN: 978-0-387-94094-6Published: 03 August 1993

  • Softcover ISBN: 978-1-4612-6941-0Published: 06 October 2012

  • eBook ISBN: 978-1-4612-0903-4Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 2

  • Number of Pages: X, 194

  • Additional Information: Originally published as a monograph with the title: Fundamentals of Contemporary Set Theory

  • Topics: Mathematical Logic and Foundations, Math Applications in Computer Science

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