Applied Functional Analysis

The textbook for Funcational Analysis provides not only solid mathematical foundations for the subject but, with many examples drawing from mechanics and science, motivates an engineering or science student to study the subject, and provides the necessary connections with applications. The first part covers an intro to modern mathematics, linear algebra, Lebesque measure and integration theory, and topology with metric spaces. The last two chapters cover the actual subject - theory of Banach and Hilbert spaces, finishing with a short introduction to Spectral Theory.