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Global Analysis - Functional Analysis Examples c-1

Global Analysis - Functional Analysis Examples c-1

This is a free, online textbook offered by  The topics include:  Introduction 1 Metric Spaces 2 Topology 1 3 Continuous mappings 4 Topology 2 5 Sequences 6 Semi-continuity 7 Connected sets, differentiation a.o. 8 Addition and multiplication by scalars in normed vector spaces 9 Normed vector spaces and integral operators 10 Differentiable mappings 11 Complete metric spaces 12 Local Existence and Uniqueness Theorem for Autonomous Ordinary Differential Equations 13 Euler-Lagrange's equations



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