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ECE 586: Vector Space Methods with Applications (FA23)
Course Information
Flip Video Slides
Handouts
Applications and References
Wikipedia References
First-Order Logic, Mathematical Proof, Theory, Equivalence Relation, Function
Metric Space, Topology, Continuous Function, Complete Metric Space, Compact Space
Contraction Mapping, Field, Vector Space, (Hamel) Basis, Topological Vector Space
Normed Vector Space, Banach Space, Schauder Basis, Lp and lp Spaces, Inner Product Space
Gram-Schmidt Process, Orthonormal Basis, Hilbert Space, Orthogonal Projection, Dual Space
Fixed-Point Theorems
Other Web Resources
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