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

This book is based on the teaching experience of the authors, and therefore some of the topics are presented in a new form. 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 the 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.Jian-Ke Lu is the author of 'Introduction to the Theory of Complex Functions (Series in Pure Mathematics)' with ISBN 9789812380470 and ISBN 9812380477.