Real Analysis A comprehensive course in analysis Part 1
Material type: TextLanguage: English Series: A comprehensive course in analysisPublication details: Providence, Rhode Island American Mathematical Society (AMS) 2023Edition: Indian EditionDescription: xx, 789 pISBN: 9781470437756 (PB)Subject(s): Functional analysis Instructional exposition (textbooks, tutorial papers, etc.) | General topology Instructional exposition (textbooks, tutorial papers, etc.) | MathematicsCurrent library | Home library | Call number | Materials specified | Copy number | Status | Date due | Barcode |
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IMSc Library | IMSc Library | 51(06) SIM (Browse shelf (Opens below)) | Available | 77172 | |||
IMSc Library | IMSc Library | 51(06) SIM (Browse shelf (Opens below)) | 1 | Available | 77153 |
PreliminariesTopological spacesA first look at Hilbert spaces and Fourier seriesMeasure theoryConvexity and Banach spacesTempered distributions and the Fourier transformBonus chapter: Probability basicsBonus chapter: Hausdorff measure and dimensionBonus chapter: Inductive limits and ordinary distributionsBibliographySymbol indexSubject indexAuthor indexIndex of capsule biographies
A Comprehensive Course in Analysis by Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Part 1 is devoted to real analysis.
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