Basic Set Theory
Download Basic Set Theory full books in PDF, epub, and Kindle. Read online free Basic Set Theory ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Basic Set Theory
Author | : Nikolai Konstantinovich Vereshchagin |
Publisher | : American Mathematical Soc. |
Total Pages | : 130 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821827316 |
Download Basic Set Theory Book in PDF, Epub and Kindle
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 leisurely treatment. This book provides just that: 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.
Basic Set Theory Related Books
Pages: 130
Pages: 418
Pages: 279
Pages: 280
Pages: 732