Overview
- New edition provides additional topics such as the Kurzweil-Henstock integral, Banach-Tasrki paradox, a proof of the existence of liftings, the Daniell integral, and a brief introduction to measure-theoretic probability theory
- Contains numerous examples and exercises
- Provides a solid background for study in harmonic analysis and probability theory
Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher (BAT)
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Table of contents (10 chapters)
Keywords
About this book
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.
Reviews
From the book reviews:
“This textbook provides a comprehensive and consistent introduction to measure and integration theory. … The book can be recommended to anyone having basic knowledge of calculus and point-set topology. It is very self-contained, and can thus serve as an excellent reference book as well.” (Ville Suomala, Mathematical Reviews, July, 2014)
“In this second edition, Cohn has updated his excellent introduction to measure theory … and has made this great textbook even better. Those readers unfamiliar with Cohn’s style will discover that his writing is lucid. … this is a wonderful text to learn measure theory from and I strongly recommend it.” (Tushar Das, MAA Reviews, June, 2014)
Authors and Affiliations
Bibliographic Information
Book Title: Measure Theory
Book Subtitle: Second Edition
Authors: Donald L. Cohn
Series Title: Birkhäuser Advanced Texts Basler Lehrbücher
DOI: https://doi.org/10.1007/978-1-4614-6956-8
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-6955-1Published: 14 July 2013
Softcover ISBN: 978-1-4899-9762-3Published: 06 August 2015
eBook ISBN: 978-1-4614-6956-8Published: 13 July 2013
Series ISSN: 1019-6242
Series E-ISSN: 2296-4894
Edition Number: 2
Number of Pages: XXI, 457
Topics: Measure and Integration, Analysis, Probability Theory and Stochastic Processes