35004 Mathematical Analysis and Applications

Description

This subject is an introduction to the area of Functional Analysis, one of the most important and powerful mathematical areas developed over the last one hundred years, and the natural extension of mathematical analysis. Students study Banach spaces and Hilbert spaces, infinite dimensional normed vector spaces. They study the major results including the Closed Graph Theorem, the Hahn Banach Theorem and the Spectral Theorem for self-adjoint Operators. Students also study applications to the solutions of Partial Differential Equations, the Theory of Distributions and the theory of Wavelets.

The tools we develop have found major applications in mathematical physics, quantitaive finance and mathematical biology.

Typical availability

Autumn session, City campus