Measure theory
Intended as a self-contained introduction to measure theory, this textbook also includesa 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…
Read More ↓Title Statements
- Full title :Measure theory / Donald L. Cohn.
Summary
Intended as a self-contained introduction to measure theory, this textbook also includesa 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.
Read More ↓Edition Statements
- Publication Date:©1980
Publication Statements
- Publisher(s):Birkhäuser
- Place of Publication:Boston
- Language:eng
- Publication Date:©1980
Notes
Includes indexes.
The Physical Object
- Description:1 online resource (ix, 373 pages) : : illustrations
Edition Identifiers
- ISBN:9781489903990, 1489903992, 9781489904010, 1489904018
- DOI:10.1007/978-1-4899-0399-0
- oclc:ocn861706224
- LC Classification:QA312
- Dewey Decimal:515.4/2
Table of 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 -- 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.
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