Measure Theory
Published on 29. June 2013
IX, 373 pages
978-1-4899-0399-0 (ISBN)
Description
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 / Votes
"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 MATHMore details
Other editions
Additional editions
Donald L. Cohn
Measure Theory
Book
01/1994
Birkhauser Boston
€53.45
Article exhausted; check for reprint
Content
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.- Appendices.- A. Notation and set theory.- B. Algebra.- C. Calculus and topology in R.- D. Topological spaces and metric spaces.- E. The Bochner integral.- Index of notation.
