01344nam a22002297a 450000500170000000800410001702000180005802800210007608200140009710000190011124500380013026000730016830000220024136500110026350503890027452003240066365000260098765000340101365000290104765000210107670000170109720230510132025.0230510b        |||||||| |||| 00| 0 eng d  a9781470437756  a: Gifted by NBHM  a515.8 SIM  aSimon, Barry,   aReal analysisb: c/ Barry Simon.  a, Providence, Rhode Islandb: American Mathematical Societyc, 2015.  axx,789p.c: 26cm.  bGifted  aPreliminariesTopological 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.  aA 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.  aMathematical analysis  aConvex and discrete geometry   aInstructional exposition  aGeneral topology  aBarry Simon.