Short Course Description
Topology of uniform convergence on compact subsets. Infinite sums and infinite series. Gamma and zeta functions. Interpolation: theorems of Mittag-Leffler and Weierstrass. Riemann mapping theorem and the Schwarz-Christoffel formula. Uniformization of doubly-connected domains and complex tori. Modular functions and Picard's little theorem.
Full Syllabus