書誌事項

Introduction to set theory

Karel Hrbacek, Thomas Jech

(Monographs and textbooks in pure and applied mathematics, 220)

Marcel Dekker, c1999

3rd ed., rev. and expanded

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注記

Bibliography: p. 285-286

Includes index

Publisher changed: Marcel Dekker → CRC Press (Taylor & Francis Group)

内容説明・目次

内容説明

Thoroughly revised, updated, expanded, and reorganized to serve as a primary text for mathematics courses, Introduction to Set Theory, Third Edition covers the basics: relations, functions, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers. It also provides five additional self-contained chapters, consolidates the material on real numbers into a single updated chapter affording flexibility in course design, supplies end-of-section problems, with hints, of varying degrees of difficulty, includes new material on normal forms and Goodstein sequences, and adds important recent ideas including filters, ultrafilters, closed unbounded and stationary sets, and partitions.

目次

  • Sets
  • relations, functions and orderings
  • natural numbers
  • finite, countable and uncountable sets
  • cardinal numbers
  • ordinal numbers
  • alephs
  • the axiom of choice
  • arithmetic of cardinal numbers
  • sets of real numbers
  • filters and ultrafilters
  • combinatorial set theory
  • large cardinals
  • the axiom of foundation
  • the axiomatic set theory.

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詳細情報

  • NII書誌ID(NCID)
    BA4218383X
  • ISBN
    • 0824779150
  • LCCN
    99015458
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    ix, 291 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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