Real analysis : measure theory, integration, and hilbert spaces
Material type:
TextSeries: Princeton lectures in analysisPublication details: London : Princeton University Press, ©2005Description: xviii, 402 p. : ill. ; 24 cmISBN: - 9780691113869
- 515.8 STE-R
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IIITD Reference | Mathematics | REF 515.8 STE-R (Browse shelf(Opens below)) | Loan on demand | 013711 |
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| REF 515.785 KRA-H Harmonic and complex analysis in several variables | REF 515.8 KRA-R Real analysis and foundations | REF 515.8 OSH-L Level set methods and dynamic implicit surfaces | REF 515.8 STE-R Real analysis : measure theory, integration, and hilbert spaces | REF 515.8 ZIE-M Modern real analysis | REF 515.9 ABL-C Complex variables : | REF 515.9 BAL-N Noncommutative function-theoretic operator theory and applications |
Includes bibliographical references and index.
Chapter 1. Measure Theory
Chapter 2. Integration Theory
Chapter 3. Differentiation and Integration
Chapter 4. Hilbert Spaces: An Introduction
Chapter 5. Hilbert Spaces: Several Examples
Chapter 6. Abstract Measure and Integration Theory
Chapter 7. Hausdorff Measure and Fractals
Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science. After setting fort.
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