University Mathematics Tutorial Complex Analysis and Integral Transformations

Author: Liu Jianya, Editor-in-Chief
Publisher:
Publish Date: 2006-01-10
Features: University Mathematics Tutorial is a national-level planning textbook for the 15th Five-Year Plan of general higher education. This book is the fifth volume in the series, covering two parts: Complex Functions and Integral Transformations. The Complex Functions part includes: Complex Numbers and Complex Functions, Analytic Functions, Integrals of Complex Functions, Complex Series, Residues and Their Applications, Conformal Mapping (Conformal Mapping), and Applications of Analytic Functions in Planar Vector Fields. The Integral Transformations part includes: Fourier Transform and Laplace Transform. This book is rich in examples, rigorous in argumentation, easy to teach and learn. Some important content is introduced with an asterisk () to broaden readers' knowledge. The modular design also ensures that the various parts of the textbook are both interconnected and independent, adding flexibility to its use. Each chapter is accompanied by a sufficient number of exercises, and there are also programs using the mathematical experiment software MATLAB to solve practical problems. At the end of the book, there are answers to exercises, appendices, and short biographies of some mathematicians. This book can be used as a textbook for undergraduate courses in relevant disciplines of science and engineering, and can also serve as a reference for science and technology and engineering professionals.