Complex Analysis and Integral Transforms

Author: Department of Mathematics, Huazhong University of Science and Technology
Publisher:
Publish Date: 2003-06-01
Features: This book is not only suitable as a textbook for students of science and engineering majors but also for reference by engineering technicians and other scientific and technical personnel. It is revised based on the "Complex Analysis and Integral Transformations" (compiled by the Department of Mathematics, Huazhong University of Science and Technology, 1999 edition), after extensively incorporating opinions from teachers both inside and outside the university. The new edition has made no major changes to the main content and structural framework, but from the perspective of teaching, the wording has been carefully refined, some important theorems have been rewritten, the arrangement of exercises has been adjusted, and the original features of the book—concise and essential, rigorous logic, clear exposition, rich examples and exercises, strong practicality, and ease of self-study—have been maintained. The main content of the book includes: complex numbers and complex functions, analytic functions, integrals of complex functions, series representations of analytic functions, residues and their applications, applications of analytic functions in plane fields, Fourier transforms and Laplace transforms, etc.