应用Stokes公式计算有多个奇点的函数的积分

Integrals of Functions with Several Singularities by Aid of Stokes Formula

在数学物理中,带有奇点的函数积分是我们经常碰到的,它们计算往往比较复杂,但应用又比较广泛.本文讨论有多个奇点的函数积分的一些理论及应用,给出这些奇点分别在积分曲线(区域)的内部,边界及外部的计算方法.

In math and physics, we often encounter some integrals of functions with several singularities. Although always computed complicatedly, they are applied widely. In this paper, we will discuss some theories and application of the integrals with several singularities. These singularities lie inner, exterior and on the integral curves （domain） respectively.