DescriptionYou will review some of the basic concepts of complex analysis and prove a number of useful results concerning derivatives, zeros, and sequences of holomorphic functions. This will lead to a brief discussion of the significance of biholomorphic mappings and allow you to give a detailed proof of the Riemann mapping theorem. Then you move on to multivalued functions and their Riemann surfaces, and the uniformization Theorem for simply connected Riemann surfaces. Time permitting you can study applications thereof in fluid mechanics.Resources |
email: W Klingenberg