An introduction to concepts and applications including: metric and normed spaces, Hilbert and Banach spaces, linear operators and functionals, compactness in metric and normed spaces, Fredholm's solvability theory, spectral theory, calculus in metric and normed spaces, selected applications.

Recommended textbook:

Alberto Bressan: **Lecture Notes on Functional Analysis with Applications
to Partial Differential Equations**.
Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, 2013.

Last updated December 7, 2017.