Graduate Studies in Mathematics 1996; 210 pp; hardcover Volume: 8 Reprint/Revision History: reprinted with corrections 1998 ISBN10: 0821802666 ISBN13: 9780821802663 List Price: US$48 Member Price: US$38.40 Order Code: GSM/8
 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 BanachTarski 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 selfstudy. Readership Graduate students and mathematicians interested in settheoretical techniques. Reviews "These books aim to support first courses in rigorous set theory ... are thoroughly competent: wellorganized, scrupulous in pointing out both mathematical and philosophical difficulties, carefully graded from relatively straightforward beginnings to demanding conclusions. The more interesting, and more demanding, approach is that of Just and Weese. These books are for those who not only want to learn mathematics, but want to think about mathematics."  Bulletin of the London Mathematical Society "Well written and userfriendly."  Zentralblatt MATH "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 "The careful exposition, written in a lively and very readable style which addresses the reader rather directly, provides (by explanations, comments, and remarks) much information and motivation. Recommended."  Monatshefte für Mathematik Table of Contents  Introduction
 Pairs, relations, and functions
 Partial order relations
 Cardinality
 Induction
 Formal languages and models
 Power and limitations of the axiomatic method
 The axioms
 Classes
 Versions of the axiom of choice
 The ordinals
 The cardinals
 Pictures of the universe
 Subject index
 Index of notation
