复积分的特点探究

The Inquisition of Complex Integral Characteristic

解析函数的许多重要性质要利用复积分来证明.本文从积分的定义出发,系统阐述了实积分与复积分之间的联系与区别,分析了复积分的存在性条件,简单介绍了复积分在某些特定情况下的中值理论。

Complex integral is an important tool in analytic function.Many important characters in analytic function can be demonstrated by the complex integral.In this paper,we begin with the definition of integral,then we state the associations and differences between real integral systematically,and analyse the existence condition for complex integral.In the meantime,we give a simple introduction of mean value theory of complex integral in some special case.