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Simon, Barry

Real Analysis A comprehensive course in analysis Part 1 - Indian Edition - Providence, Rhode Island American Mathematical Society (AMS) 2023 - xx, 789 p - A comprehensive course in analysis .

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.

ISBN: 9781470437756 (PB)

Subjects--Topical Terms:
Functional analysis Instructional exposition (textbooks, tutorial papers, etc.)
General topology Instructional exposition (textbooks, tutorial papers, etc.)

Universal Decimal Class. No.: 51(06) / SIM