Analysis

A text in real analysis that provides a building block for research in analysis, PDEs, the calculus of variations, probability, and approximation theory. Covering the core topics such as a basic introduction to functional analysis, it discusses other topics including Radon measures, the Besicovitch covering Theorem, and the Rademacher theorem.

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This graduate text in real analysis is a solid building block for research in analysis, PDEs, the calculus of variations, probability, and approximation theory. It covers all the core topics, such as a basic introduction to functional analysis, and it discusses other topics often not addressed including Radon measures, the Besicovitch covering Theorem, the Rademacher theorem, and a constructive presentation of the Stone-Weierstrass Theoroem.