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Measure Theory

Authors: Cohn, Donald L.

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About this Textbook

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.

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 for this book are courses in topology and analysis.

Reviews

"The author aims to present 'a straightforward treatment of the part of measure theory necessary for analysis and probability' assuming only basic knowledge of analysis and topology...Each chapter includes numerous well-chosen exercises, varying from very routine practice problems to important extensions and developments of the theory; for the difficult ones there are helpful hints. It is the reviewer's opinion that the author has succeeded in his aim. In spite of its lack of new results, the selection and presentation of materials makes this a useful book for an introduction to measure and integration theory."   —Mathematical Reviews

"The book is a comprehensive and clearly written textbook on measure and integration...The book contains appendices on set theory, algebra, calculus and topology in Euclidean spaces, topological and metric spaces, and the Bochner integral. Each section of the book contains a number of exercises."   —Zentralblatt MATH


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $49.99
price for USA (gross)
  • ISBN 978-1-4899-0399-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase

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Bibliographic Information

Bibliographic Information
Book Title
Measure Theory
Authors
Copyright
1980
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4899-0399-0
DOI
10.1007/978-1-4899-0399-0
Edition Number
1
Number of Pages
IX, 373
Topics