Basic Set Theory PDF
By:Nikolai Konstantinovich Vereshchagin,Alexander Shen
Published on 2002 by American Mathematical Soc.
The main notions of set theory (cardinals, ordinals, transfinite induction) are fundamental to all mathematicians, not only to those who specialize in mathematical logic or set-theoretic topology. Basic set theory is generally given a brief overview in courses on analysis, algebra, or topology, even though it is sufficiently important, interesting, and simple to merit its own dedicated treatment. 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.
This Book was ranked at 25 by Google Books for keyword mathematics about sets.
Book ID of Basic Set Theory's Books is LBvpfEMhurwC, Book which was written byNikolai Konstantinovich Vereshchagin,Alexander Shenhave ETAG "xvRD3Gcp+q8"
Book which was published by American Mathematical Soc. since 2002 have ISBNs, ISBN 13 Code is 9780821827314 and ISBN 10 Code is 0821827316
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Book which have "116 Pages" is Printed at BOOK under CategoryMathematics
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