关于重积分与线面积分内容体系的探讨

The Study of Content System about Multiple Integral,Line Integral and Surface Integral

本文将二重积分、三重积分、第一类曲线积分及第一类曲面积分统一为多元数量值函数的积分，并且用第一类曲线、曲面积分定义第二类曲线、曲面积分。

In this paper, the double integral, the triple integral, the line integral of the first kind and the surface integral of the first kind are unified as a multivariate ScalarValued function. And the line integral of the second kind and the surface integral of the second kind are defined by the integral of the first kind and the surface integral of the first kind.