The basics

著者

• Just, Winfried
• Weese, Martin

書誌事項

The basics

Winfried Just, Martin Weese

（Graduate studies in mathematics, v. 8 . Discovering modern set theory ; 1）

American Mathematical Society, c1996

注記

Includes bibliographical references and indexes

内容説明・目次

内容説明

This book is an introduction to set theory for beginning graduate students who want to get a sound grounding in those aspects of set theory used extensively throughout other areas of mathematics. Topics covered include formal languages and models, the power and limitation of the Axiomatic Method, the Axiom of Choice, including the fascinating Banach-Tarski Paradox, applications of Zorn's Lemma, ordinal arithmetic, including transfinite induction, and cardinal arithmetic. The style of writing, more a dialogue with the reader than that of the Master indoctrinating the pupil, makes this also very suitable for self-study.

目次

Introduction Pairs, relations, and functions Partial order relations Cardinality Induction Formal languages and models Power and limitations of the axiomatic method The axioms Classes Versions of the axiom of choice The ordinals The cardinals Pictures of the universe Subject index Index of notation.

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詳細情報

• NII書誌ID(NCID): BA27063639
• ISBN:
  • 0821802666
• LCCN: 95044663
• 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: Providence, R.I.
• ページ数/冊数: xvii, 210 p.
• 大きさ: 27 cm
• 分類:
  • LCC : QA248
  • DC20 : 511.3/22
• 件名:
  • LCSH : Set theory
• 親書誌ID:
  • BA20542214