Lectures on Riemann Surfaces

Lectures on Riemann Surfaces is based on courses presented by Otto Forster at the universities of Munich, Regensburg, and Münster. The material presented herein corresponds roughly to three semesters of lectures, arranged in a flexible sequence involving a minimum of prerequisites. It provides a concise modern introduction to Riemann surfaces and presents methods used in the study of complex manifolds in the special case of complex dimension one.