These lecture notes are devoted to an area of current research interest that bridges functional analysis and function theory.

The functional-analytic approach to uniform algebras is inextricably interwoven with the theory of analytic functions. This volume includes a Bibliography, List of Special Symbols, and an Index. Each of the chapters is followed by notes and numerous exerci

An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and...