Foundations of Complex Analysis

Foundations of Complex Analysis is aimed at giving students a good foundation of complex analysis and provides a basis for solving problems in mathematics, physics, engineering and many other sciences. Each chapter is supplemented with well-structured examples, and exercises with hints and outlines for solutions. This book can be used as a textbook for a two semester course in complex analysis, or as a supplementary text for an advanced course in function theory. This second edition has gone through a major revision of the 1995 edition. As far as possible many sections are made less dependent on other sections in order to ensure flexibility in designing a course content. Table of Contents Preface to the Second Edition Complex Numbers Functions, Limit and Continuity Analytic Functions and Power Series Complex Integration Conformal Mappings and Mbius Transformations Maximum Principle, Schwarz' Lemma, and Liouville's Theorem Classification of Singularities Calculus of Residues Evaluation of certain Integrals Analytic Continuation Representations for Meromorphic and Entire Functions Mapping Theorems Bibliography Index of Special Notations Hints and Solutions for Selected Exercises Index.