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AuthorCohn, Donald L. author
TitleMeasure Theory [electronic resource] / by Donald L. Cohn
ImprintBoston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1980
Connect tohttp://dx.doi.org/10.1007/978-1-4899-0399-0
Descript IX, 373 p. online resource

SUMMARY

Intended as a self-contained introduction to measure theory, this textbook also includesย 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


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


Mathematics Measure theory Probabilities Mathematics Probability Theory and Stochastic Processes Measure and Integration



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