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Real Analysis for Graduate Students, version 2.1
Real Analysis for Graduate Students version 21 Author:Richard F Bass Nearly every Ph.D. student in mathematics needs to take a preliminary or qualifying examination in real analysis. This book provides the necessary tools to pass such an examination. Clarity: Every effort was made to present the material in as clear a fashion as possible. Lots of exercises: Over 400 exercises, ranging from routine to challen... more »ging, are presented. Many are taken from preliminary examinations given at major universities. Affordability: This book is priced at well under $15. Topics covered include the definition and construction of measures, the Lebesgue integral and its properties, limit theorems, product measures, signed measures, the Radon-Nikoydym theorem, differentiation, Lp spaces, Fourier transforms, the Riesz representation theorem, and Banach and Hilbert spaces.« less