The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics)

The Joy of Sets: Fundamentals of Contemporary Set Theory (Undergraduate Texts in Mathematics) by Devlin, Keith. Hardcover edition. ISBN: 9780387940946.

This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is either an advanced-level mathematics undergraduate, a beginning graduate student in mathematics, or an accomplished mathematician who desires or needs some familiarity with modern set theory. The book is written in a fairly easy-going style, with minimal formalism. In Chapter 1, the basic principles of set theory are developed in a naive manner. Here the notions of set, union, intersection, power set, rela tion, function, etc., are defined and discussed. One assumption in writing Chapter 1 has been that, whereas the reader may have met all of these 1 concepts before and be familiar with their usage, she may not have con sidered the various notions as forming part of the continuous development of a pure subject (namely, set theory). Consequently, the presentation is at the same time rigorous and fast.