课程简介 中文简介 本课程是理工科学生继高等数学后的又一门数学基础课。本课程主要讲授复变函数与积分变换的基本理论和方法，内容包括复数与复变函数、解析函数、复变函数的积分、级数、留数、傅里叶变换、拉普拉斯变换等。通过本课程的学习，学生不仅能够学到复变函数与积分变换的基本理论和数学物理及工程技术中常用的数学方法，同时还可以巩固和复习高等数学的基础知识，提高数学素养，为学习有关的后续课程和进一步扩大数学知识面奠定必要的数学基础。在培养学生的抽象思维能力、逻辑推理能力、空间想象能力和科学计算能力等方面起着特殊重要的作用。 英文简介 This course is a basic course of Mathematics for students of science and engineering.This course mainly introduces the basic theory and method of complex function and integral transformation,The contents include the complex and the complex function, analytic function, complex function, integral series and residues, Fourier transform, Laplace transform.Through the study of this course, students can not only learn the basic theory of complex function and integral transformation, but also the mathematical methods used in mathematics, physics and Engineering,at the same time, to consolidate and review the basic knowledge of higher mathematics, improve the quality of mathematics, and lay the necessary mathematical foundation for the follow-up courses and further expand the mathematical knowledge,It plays an important role in cultivating students' abstract thinking ability, logical reasoning ability, spatial imagination ability and scientific computing ability.