TY - BOOK AU - Simon, Barry, AU - Barry Simon. TI - Real analysis: : SN - 9781470437756 U1 - 515.8 SIM PY - 2015/// CY - , Providence, Rhode Island PB - : American Mathematical Society KW - Mathematical analysis KW - Convex and discrete geometry KW - Instructional exposition KW - General topology 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 -