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Real Analysis
by Gabriel Klambauer

ISBN: 0486445240
Dover Publications Price: $22.95
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This text for graduate students introduces contemporary real analysis with a particular emphasis on integration theory. Explores the Lebesgue theory of measure and integration of real functions; abstract measure and integration theory as well as topological and metric spaces. Additional topics include Stone's formulation of Daniell integration and normed linear spaces. Includes exercises. 1973 edition. Index.
Republication of the New York, 1973 edition.


Table of Contents for Real Analysis
1. Lebesgue Measure on the Real Line R1
2. Lebesgue Measurable Functions on the Real Line
3. The Lebesgue Integral on the Real Line R1 and the Lebesgue Function Spaces
4. Differentiation and Absolute Continuity
5. Abstract Measure and Integration
6. Outer Measure and Product Measure
7. Topological and Metric Spaces
8. The Method of P. J. Daniell
9. The Stone-Daniell Integral (A Survey)
10. Normed Linear Spaces
Index

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