FIZ 503E - Mathematical Methods in Phy

Course Objectives

1.to provide the students with the ability to manipulate abstract vector spaces
2. to teach the basics and applications to physics of complex analysis

Course Description

Linear vector spaces, metric spaces, hermetic operators, eigenvalue and eigenvectors, invariant
subspaces, quadratic forms. Functions spaces, orthogonal polynomials, Fourier analysis:
Continuous function spaces. Linear forms and generalized functions. Analytic functions,
conformal mapping, multi valued functions, branch cuts, residues. Saddle point approximation
Taylor and Laurent series. Special functions