Complex Analysis (Revised Edition)

Author: Lu Jianke et al.
Publisher:
Publish Date: 2004-01-01
Features: This book is based on the "Outline for the Compilation of Textbooks on Complex Analysis (with an Emphasis on Applications)" formulated by the Committee on the Compilation and Review of Textbooks in Number Theory and Functional Analysis of the State Education Commission during the period of 1987-1989. The entire book consists of nine chapters, covering complex variables and functions, fundamentals of analytic functions, integration, series, residues, analytic continuation, conformal mapping, harmonic functions, and applications of analytic functions. As an attempt, this book incorporates new content of practical value, such as higher-order division singular integrals and generalized residue theorems. It presents a fresh approach to multivalued functions, introduces new proof methods and narrative styles for the Cauchy theorem (in the form of homotopy), the argument principle, conformal mappings, and the uniqueness of analytic functions. Modernized treatments or improvements of traditional content are integrated throughout all chapters. Practical teaching experience over the years has demonstrated that it is a highly teachable and learnable textbook. This book can be used as a textbook for mathematics, applied mathematics, computational mathematics, mechanics, astronomy, and mathematics majors in teacher training colleges. It is also suitable for physics majors, engineering technicians, and self-learners as a reference.