The joy of sets : fundamentals of contemporary set theory

書誌事項

The joy of sets : fundamentals of contemporary set theory

Keith Devlin

(Undergraduate texts in mathematics)

Springer Science+Business Media, c1993

2nd ed

  • : pbk

タイトル別名

Fundamentals of contemporary set theory

この図書・雑誌をさがす
注記

Rev. ed. of: Fundamentals of contemporary set theory. c1979

Originally published by Springer-Verlag New York, Inc in 1993

Includes bibliographical references (p. 185) and index

内容説明・目次

内容説明

This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naive" set theory, it develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers. It then delves into contemporary set theory, covering such topics as the Borel hierarchy and Lebesgue measure. A final chapter presents an alternative conception of set theory useful in computer science.

目次

  • Preface
  • 1. Naive Set Theory
  • 2. The Zermelo-Fraenkel Axioms
  • 3. Ordinal and Cardinal Numbers
  • 4. Topics in Pure Set Theory
  • 5. The Axiom of Constructibility
  • 6. Independence Proofs in Set Theory
  • 7. Non-Well-Founded Set Theory
  • Bibliography
  • Glossary of Symbols
  • Index

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詳細情報
  • NII書誌ID(NCID)
    BD05897817
  • ISBN
    • 9781461269410
  • LCCN
    93004692
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    [Berlin]
  • ページ数/冊数
    x, 192 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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