Computational Methods and Function Theory : Proceedings of a Conference held in Valparaíso Chile March 13–18 1989 The volume is devoted to the interaction of modern scientific computation and classical function theory. Many problems in pure and more applied function theory can be tackled using modern computing facilities: numerically as well as in the sense of computer algebra. On the other hand computer algorithms are often based on complex function theory and dedicated research on their theoretical foundations can lead to great enhancements in performance. The contributions original research articles a survey and a collection of problems cover a broad range of such problems