Basic set theory

By: A.ShenContributor(s): N.K VereshchaginMaterial type: TextTextSeries: Student Mathematical Library ; Vol. 17Publication details: Rhode Island: American Mathematical Society, [c2002]Description: 116 pISBN: 978-0-8218-2731-4Subject(s): MathematicsLOC classification: QA248
Contents:
Chapter 1. Sets and their cardinalities Chapter 2. Ordered sets
Summary: This book provides just that in the form of a leisurely exposition for a diversified audience. It is suitable for a broad range of readers, from undergraduate students to professional mathematicians who want to finally find out what transfinite induction is and why it is always replaced by Zorn's Lemma.The text introduces all main subjects of “naive” (nonaxiomatic) set theory: functions, cardinalities, ordered and well-ordered sets, transfinite induction and its applications, ordinals, and operations on ordinals. Included are discussions and proofs of the Cantor–Bernstein Theorem, Cantor's diagonal method, Zorn's Lemma, Zermelo's Theorem, and Hamel bases. With over 150 problems, the book is a complete and accessible introduction to the subject. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 4 QA248 (Browse shelf (Opens below)) Available Billno:IN 003 582; Billdate: 2018-01-11 00887
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Chapter 1. Sets and their cardinalities
Chapter 2. Ordered sets

This book provides just that in the form of a leisurely exposition for a diversified audience. It is suitable for a broad range of readers, from undergraduate students to professional mathematicians who want to finally find out what transfinite induction is and why it is always replaced by Zorn's Lemma.The text introduces all main subjects of “naive” (nonaxiomatic) set theory: functions, cardinalities, ordered and well-ordered sets, transfinite induction and its applications, ordinals, and operations on ordinals. Included are discussions and proofs of the Cantor–Bernstein Theorem, Cantor's diagonal method, Zorn's Lemma, Zermelo's Theorem, and Hamel bases. With over 150 problems, the book is a complete and accessible introduction to the subject. --- summary provided by publisher

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