A Course in Complex Analysis and Riemann Surfaces

From i to z: the basics of complex analysis From z to the Riemann mapping theorem: some finer points of basic complex analysis Harmonic functions Riemann surfaces: definitions, examples, basic properties Analytic continuation, covering surfaces, and algebraic functions Differential forms on Riemann surfaces The theorems of Riemann-Roch, Abel, and Jacobi Uniformization Review of some basic background material Bibliography Index