Univalent Functions

The theory of univalent functions is a fascinating interplay of geometry and analysis, directed primarily toward extremal problems. A branch of complex analysis with classical roots, it is an active field of modern research. This book describes the major methods of the field and their applications to geometric function theory. Designed to serve both as an introduction and as a reference for research workers, it includes prerequisite material and full expositions, while emphasizing recent results and open problems.