Real Analysis: Theory of Measure and Integration
Material type: TextLanguage: English Publication details: Singapore World Scientific 2024Edition: 3rdDescription: xxiii, 815pISBN: 9798886130485 (PB)Subject(s): Integration theory | Lebesgue integral | MathematicsCurrent library | Home library | Call number | Materials specified | Copy number | Status | Date due | Barcode |
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IMSc Library | IMSc Library | 517 YEH (Browse shelf (Opens below)) | 1 | Not for loan | 77512 | ||
IMSc Library | IMSc Library | 517 YEH (Browse shelf (Opens below)) | 2 | Available | 77528 |
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515.1 PAR Topology An Invitation | 517 RAM Global calculus | 517 RAM Global calculus | 517 YEH Real Analysis: Theory of Measure and Integration | 517.3 BER Measure and integration | 517.3 BER Measure and integration | 517.3 DOOB Measure theory |
1. Measure Spaces 2. The Lebesgue Integral 3. Differentiation and Integration 4. The Classical Banach Spaces 5. Extension of Additive Set Functions to Measures 6. Measure and Integration on the Euclidean Space
7.Hausdorff Measures on the Euclidean Space
This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis while the wealth of topics treated also make the book a valuable reference work for mathematicians.
The book is also very helpful to graduate students in statistics and electrical engineering, two disciplines that apply measure theory.
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