This book covers the subject matter that is central to mathematical analysis: measure & integration theory, some point set topology, & rudiments of functional analysis. Also, a number of other topics are developed to illustrate the uses of this core material in important areas of mathematics & to introduce readers to more advanced techniques. Some of the material presented has never appeared outside of advanced monographs & research papers, or been readily available in comparative texts. About 460 exercises, at varying levels of difficulty, give readers practice in working with the ideas presented here.