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© 1993

The Joy of Sets

Fundamentals of Contemporary Set Theory

Textbook

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

Table of contents

  1. Front Matter
    Pages i-x
  2. Keith Devlin
    Pages 1-28
  3. Keith Devlin
    Pages 29-65
  4. Keith Devlin
    Pages 66-100
  5. Keith Devlin
    Pages 101-119
  6. Keith Devlin
    Pages 120-129
  7. Keith Devlin
    Pages 130-142
  8. Keith Devlin
    Pages 143-184
  9. Back Matter
    Pages 185-194

About this book

Introduction

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.

Keywords

Cardinal number computer science mathematics proof set theory sets

Authors and affiliations

  1. 1.School of ScienceSaint Mary’s College of CaliforniaMoragaUSA

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
  • Copyright Information Springer-Verlag New York, Inc. 1993
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-94094-6
  • Softcover ISBN 978-1-4612-6941-0
  • eBook ISBN 978-1-4612-0903-4
  • Series ISSN 0172-6056
  • Edition Number 2
  • Number of Pages X, 194
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • 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
  • Buy this book on publisher's site