Introduction to the Theory of Complex Functions (Series in Pure Mathematics)

This introduction to the theory of complex functions is based on the teaching experience of the authors, and therefore some of the topics are presented in a different 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 useful in applications but not usually seen in textbooks written in English.