(offered in semester 1 in odd years only)<br/>Banach spaces; compactness; Arzela-Ascoli theorem; contraction mappings. Rn theorems: Sard, Weierstrass; Tietze. Brouwer degre theory; Poincare-Bohl; Weighted sum formula; Borsuk Theorem; reduction theorem; applications to differential equations. Cones & non-negative solutions. Schauder degree theory. Introduction to bifurcation theory. -- Course Website
Instructor: Assoc Prof Bevan Thompson ([email protected])
