Id: 008408 Credits Min: 3 Credits Max: 3

Description

Metric spaces, completeness, contractions, compactness, the Arzela-Ascoli theorem, Picard's theorem, Weierstrass's theorem. Banach spaces, dual spaces, weak v's strong convergence. Hilbert spaces, orthogonal sequences, weak sequential compactness, compact self-adjoint operators and their spectra, application to Sturm-Liouville theory.

Prerequisites

MATH.4030 Mathematical Analysis, or MATH.5010 Real Analysis, and MATH.2220 Linear Algebra II.

View Current Offerings