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MTH641 : Functional Analysis

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Course Info

Course Category

Mathematics

Course Level

Undergraduate

Credit Hours

3

Pre-requisites

N/A

Instructor

Dr. Sarfraz Ahmad
Post Doctorate Combinatorics & Commutative Algebra
Philipps-Universität Marburg, Germany

Course Contents

Metric Spaces Topological Spaces Separable Spaces Convergence in Metric Spaces Cauchy Sequences Complete Metric Spaces Vector Spaces Continuity in Metric Spaces Normed Spaces Banach Spaces Convergence in Normed Spaces Linear Operators Algebraic Dual space and Canonical mapping Dual Basis Hilbert Spaces The Gram-Schmidt Orthogonalization process Unitary operator