复变函数与积分变换的渐进式教学研究——以含奇点复积分解法为例  

Research on Progressive Teaching of Complex Function and Integral Transformation—Taking the Solution of Complex Integral with Singularities as an Example

作　　者：池建成 Chi Jiancheng(Department of Basics,Anhui Sanlian University,AnhuiHefei 230601)

机构地区：[1]安徽三联学院基础部,安徽合肥230601

出　　处：《科技风》2024年第5期97-99,共3页

基　　金：安徽省教育厅教研重点项目:基于竞赛—创新机制下公共数学课程教学综合改革与实践研究(编号:2022jyxm481)。

摘　　要：文章主要通过复合闭路定理、柯西积分公式、留数定理三种方法去处理几类积分路径内含有奇点的积分问题,并对它们的适用条件进行了比较.在教学中,有助于对这三个知识点的引入与讲解.The article mainly deals with several types of singular point problems with singularities in the integration path through three methods:compound closed circuit theorem,Cauchy integral formula,and residue theorem,and compares their applicable conditions.In teaching,it is helpful to introduce and explain these three knowledge points.

关 键 词：奇点 复合闭路定理 柯西积分公式 留数定理 

分 类 号：G63[文化科学—教育学]