This text covers the parts of contemporary set theory relevant to other
areas of pure mathematics. After a review of "naïve" set theory, it
develops the Zermelo-Fraenkel axioms of the theory before discussing the
ordinal and cardinal numbers. It then delves into contemporary set
theory, covering such topics as the Borel hierarchy and Lebesgue
measure. A final chapter presents an alternative conception of set
theory useful in computer science.