Intended as a straightforward introduction to measure theory, this textbook emphasizes those topics relevant and necessary to the study of analysis and probability theory. The first five chapters deal with abstract measure and integration. At the end of these chapters, the reader will appreciate the elements of integration. Chapter 6, on differentiation, includes a treatment of changes of variables in Rd. A unique feature of the book is the introductory, yet comprehensive treatment of integration on locally Hausdorff spaces, of the analytic and Borel subsets of Polish spaces, and of Haar measures on locally compact groups. Measure Theory provides the reader with tools needed for study in several areas of current interest, in particular harmonic analysis and probability theory, and is a valuable reference tool.

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