Complex Analysis ― An Invitation

Rao and all present a rigorous introduction to the theory of functions of one complex variable in a textbook for a graduate or undergraduate course. Courses in complex function theory are often postponed in favor of courses in point set topology and measure theory, they say, so they assume knowledge of these fields, along with calculus of several variables, epsilon-delta arguments, and Lebesgue's dominated and monotone convergence theorems. The second edition adds six new chapters describing recent work in capacities and Loewner theory in both the disc and the half-plane. Annotation c2015 Ringgold, Inc., Portland, OR (protoview.com)