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Mathematics  Real Analysis
Title: Real Analysis
Department: Mathematics
Author: Prof. S.H. Kulkarni
University: IIT Madras
Type: WebLink
Abstract: Real number system and its order completeness, sequences and series of real numbers. Metric spaces: Basic concepts, continuous functions, completeness, contraction mapping theorem, connectedness, Intermediate Value Theorem, Compactness, Heine'Borel Theorem. Differentiation, Taylor s theorem, Riemann Integral, Improper integrals Sequences and series of functions, Uniform convergence, power series, Weierstrass approximation theorem, equicontinuity, Arzela'Ascoli theorem.
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