The basics
著者
書誌事項
The basics
（Graduate studies in mathematics, v. 8 . Discovering modern set theory ; 1）
American Mathematical Society, c1996
並立書誌 全2件
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The basics / Winfried Just, Martin Weese
BC0693325X
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The basics / Winfried Just, Martin Weese
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The basics / Winfried Just, Martin Weese
BA54698145
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The basics / Winfried Just, Martin Weese
大学図書館所蔵 全45件
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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