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Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups. This second edition includes a chapter on measure-theoretic probability theory, plus brief treatments of the Banach-Tarski paradox, the Henstock-Kurzweil integral, the Daniell integral, and the existence of liftings.
Measure Theory provides a solid background for study in both functional analysis and probability theory and is an excellent resource for advanced undergraduate and graduate students in mathematics. The prerequisites for this book are basic courses in point-set topology and in analysis, and the appendices present a thorough review of essential background material.
Author: Donald L. Cohn
Binding Type: Hardcover
Publisher: Birkhauser
Published: 07/14/2013
Series: Birkhäuser Advanced Texts Basler Lehrbücher
Pages: 457
Weight: 1.85lbs
Size: 9.40h x 6.50w x 1.30d
ISBN: 9781461469551
2nd 2013 Edition
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