Series in Pure Mathematics - Vol. 25
INTRODUCTION TO THE THEORY OF COMPLEX FUNCTIONS
by Jian-Ke Lu, Shou-Guo Zhong (Wuhan University, China) & Shi-Qiang Liu (Ningxia University, China)
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.
Contents:
- Complex Numbers and Complex Functions
- Fundamentals of Analytic
Functions
- Complex Integrals
- Theory of Series for Analytic Functions
- Theory of Residue
- Analytic Extension
- Conformal Mapping
- Harmonic Functions
- Analytic Functions Applied to Planar Flow
Readership: Upper level undergraduates and graduate students in mathematics,
mechanics and physics.
“This text emphasizes the application aspects of the theory of complex functions and is written in contemporary and readable form. For the choice of materials, the authors mainly consider the theory as a tool which plays an important role in modern science and engineering, as the students could firmly master its basic elements and calculating techniques.”
| 312pp |
Pub. date: Nov 2002 |
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