Measure Theory

by Donald L. Cohn

"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

Genres: Mathematics, Textbooks

304 pages, Paperback

First published January 1, 1994

Reviews

[Olof · Rating 5 out of 5]

The book treats the subject very rigorously and the exercises range from the easy to the quite challenging.

[Thomas · Rating 4 out of 5]

I read up to the Radon theorem. This book is actually a good introduction to Lebesgue measure and integration. The author provides plenty of examples so as to reinforce the theory introduced. It is not too terse nor is it too wordy.