"... well written and userfriendly ..."
-- Zentralblatt für Mathematik
"... Serious graduate students ... would profit from reading the book for the mathematical maturity they would gain in the process. The conversational, almost Socratic, style of exposition is well suited to giving students some insight into the process of doing mathematics as well as to the importance of asking the right questions ... Just and Weese's text would be ideally suited for ... students who are serious about studying set theory ..."
-- Journal of Symbolic Logic
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.
For more details about Volume I, see list of topics. Also available on this website: Information about Volume II, including table of contents and topics covered.
The book can be ordered online from the AMS Bookstore. You may also write to the American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904. For credit card orders, fax (401) 331-3842 or call toll free 800-321-4267 in the U.S. and Canada, (401) 455-4000 worldwide.