Introduction to the Theory of Complex Functions

This book is based on the teaching experience of the authors, and therefore some of the topics are presented in a new form. For instance, the multi-valued properties of the argument function are discussed in detail so that the beginner may readily grasp the elementary multi-valued analytic functions. The residue theorem is extended to the case where poles of analytic functions considered may occur on the boundary of a region -- which is very useful in applications but not seen in textbooks written in English.

?This text emphasizes the application aspects of the theory of complex functions and is written in contemporary and readable form."