Instructor: Dr. Gábor ELEK

Text: The notes of the lecturer and M. Reed, B. Simon, Methods of Modern Mathematical Physics, vol. I.: Functional Analysis. Academic Press, New York and London 1972.

Prerequisite: competence in calculus, linear algebra, some real analysis and interest in learning beautiful mathematics.

Topics:

I.  Compact metric spaces
II. Fractals and their fractal dimensions
III. Measures
IV. Introduction to dynamical systems
V.  Hilbert spaces and Fourier analysis
VI. Banach spaces
VII> Operator algebras, if time permits

With lots of concrete examples and problems!!!

The course is recommended for students in the last undergraduate year. Students with interest in mathematical and theoretical physics are specially invited.