Functional Analysis

Functional Analysis is an abstract branch of mathematics that originated from the classical analysis. It concerned with the study of certain topological-algebraic and geometric structures and techniques by which knowledge of these structures can applied to analytic problems. It has an applications in every branch of mathematics like in mathematics finance, differential equations, computer science, probability theory, quantum mechanics, quantum physics, etc.

The course aims to give advanced knowledge of Banach spaces, Hilbert spaces, linear bounded operators, and their properties.  Moreover, the course describes both applications of fundamental theorems and applications of Hilbert spaces methods.