Description
Intended as a self-contained introduction to measure theory, this textbook provides 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 provides the reader with a broad perspective on measure theory through additional topics such as the Kurzweil-Henstock integral, the Banach-Tarski paradox, a proof of the existence of liftings, the Daniell integral. In addition, applications and introductions to other related areas such as measure-theoretic probability theory are also included in this new edition.
Measure Theory provides a solid background for study in both harmonic analysis and probability theory and is an excellent resource for advanced undergraduate and graduate students in mathematics. The prerequisites are courses in topology and analysis, and the appendices present a thorough review of essential background material.
Author: Donald L. Cohn
Publisher: Birkhauser
Published: 08/06/2015
Pages: 457
Binding Type: Paperback
Weight: 1.47lbs
Size: 9.21h x 6.14w x 0.97d
ISBN13: 9781489997623
ISBN10: 1489997628
BISAC Categories:
- Mathematics | Mathematical Analysis
- Mathematics | Probability & Statistics | General
- Mathematics | Calculus
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