TY  - BOOK
AU  - A.Shen
AU  - N.K Vereshchagin
TI  - Basic set theory
T2  - Student Mathematical Library 
SN  - 978-0-8218-2731-4
AV  - QA248 
PY  - 2002///]
CY  - Rhode Island
PB  - American Mathematical Society
KW  - Mathematics
N1  - Chapter 1. Sets and their cardinalities
Chapter 2. Ordered sets

N2  - 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
ER  -