MATH 6220 - Applied Functional Analysis

Tim Healey, spring 2015.

We will cover selected topics from the 2-volume set Applied Functional Analysis by E. Zeidler. The following is essentially a quote from the Introduction of that text, which is appropriate for this course:

"There are two different ways of teaching mathematics, namely:

(i) the systematic way: governed by a desire for mathematical perfection and completeness.
(ii) the applications-oriented way: this starts with the question What are the most important applications?, and then sets out to directly find the answers as quickly as possible.

This course follows the second approach. It is addressed to students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems related to our real world that have played an important role in the history of twentieth-century mathematics."

A first course in real analysis including exposure to Lebesgue integration (e.g., MATH 6110 or 6210) is strongly recommended.