TY - BOOK AU - Simon, Barry TI - Real Analysis : A comprehensive course in analysis Part 1 T2 - A comprehensive course in analysis SN - 9781470437756 (PB) PY - 2023/// CY - Providence, Rhode Island PB - American Mathematical Society (AMS) KW - Functional analysis Instructional exposition (textbooks, tutorial papers, etc.) KW - General topology Instructional exposition (textbooks, tutorial papers, etc.) N1 - 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 N2 - 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 ER -