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Measure theory / Donald L. Cohn.

By: Material type: TextTextSeries: Birkhauser advanced textsPublication details: New York : Birkhauser, 2013.Edition: 2nd edDescription: xxi, 457 p. : illustrations ; 25 cmISBN:
  • 9781461469551 (hbk : acidfree paper)
Subject(s): DDC classification:
  • 515.42 23 C678
Contents:
1. Measures -- 2. Functions and integrals -- 3. Convergence -- 4. Signed and complex measures -- 5. Product measures -- 6. Differentiation -- 7. Measures on locally compact spaces -- 8. Polish spaces and analytic sets -- 9. Haar measure -- 10. Probability-- A. Notation and set theory -- B. Algebra -- C. Calculus and topology in Rd[supercript] -- D. Topological spaces and metric spaces -- E. The Bochner integral -- F. Liftings -- G. The Banach-Tarski paradox -- H. The Henstock-Kurzweil and McShane integrals-- References-- Index of notation-- Index.
Summary: This book provides a solid background for study in harmonic analysis and probability theory. 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.42 C678 (Browse shelf(Opens below)) Available 136395
Total holds: 0

Includes bibliographical references and indexes.

1. Measures --
2. Functions and integrals --
3. Convergence --
4. Signed and complex measures --
5. Product measures --
6. Differentiation --
7. Measures on locally compact spaces --
8. Polish spaces and analytic sets --
9. Haar measure --
10. Probability--
A. Notation and set theory --
B. Algebra --
C. Calculus and topology in Rd[supercript] --
D. Topological spaces and metric spaces --
E. The Bochner integral --
F. Liftings --
G. The Banach-Tarski paradox --
H. The Henstock-Kurzweil and McShane integrals--
References--
Index of notation--
Index.

This book provides a solid background for study in harmonic analysis and probability theory. 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.

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