Functions of One Complex Variable II

Graduate Texts in Mathematics #159

by John B. Conway

This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats several topics in geometric function theory as well as potential theory in the plane, covering in particular: conformal equivalence for simply connected regions, conformal equivalence for finitely connected regions, analytic covering maps, de Branges' proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane. A knowledge of integration theory and functional analysis is assumed.

Genres: Mathematics

412 pages, Hardcover

First published May 19, 1995

About the author

John B. Conway is a Professor of Mathematics at George Washington University.