MATH 4303 - Introduction to Topology and Functional Analysis

Credits: 3 Class: 3 Lab: 0
Prerequisite(s): Grade of C or better in MATH 3307.
A rigorous treatment of the basic concepts of point set topology and functional analysis including open sets, closed sets, compact sets, continuity, convergence, topological spaces, metric spaces, normed spaces, inner-product spaces, Banach and Hilbert spaces. Hanh-Banach Theorem, Open Mapping Theorem and Banach Fixed Point Theorem are discussed and proved.