Complex functions

Author: Yan Zhenjun
Publisher:
Publish Date: 2001-09-01
Features: This book not only guides readers to use the method of complex numbers to solve problems but also points out the similarities and differences between complex functions and calculus concepts at any time. In terms of structure, it pays attention to both completeness and systematicity while also considering its usability. It features a gradual deepening process, making it easy for self-study. It is suitable as a textbook or reference book for departments of science (excluding the Department of Mathematics) and engineering disciplines with higher requirements for complex functions in higher education institutions. This book was written by the author based on years of teaching experience at the University of Science and Technology of China. Its content includes nine chapters: Complex Numbers and Plane Point Sets, Complex Variable Functions, Integral Representations of Analytic Functions, Harmonic Functions, Series Representations of Analytic Functions, Residues and Their Applications, Analytic Continuation, Conformal Mapping and Its Applications, and Laplace Transform. Each chapter is equipped with numerous examples and exercises, and the answers to the exercises are provided at the end of the book. This book not only guides readers to use the method of complex numbers to solve problems but also points out the similarities and differences between complex functions and calculus concepts at any time. In terms of structure, it pays attention to both completeness and systematicity while also considering its usability. It features a gradual deepening process, making it easy for self-study. It is suitable as a textbook or reference book for departments of science (excluding the Department of Mathematics) and engineering disciplines with higher requirements for complex functions in higher education institutions.