参数情形下第一类曲面积分的计算

Calculation for the first Type Surface Integral in Parameter Equation

第一类曲面积分有着广泛的运用。主要研究当曲面是以参数方程的形式给出时面积微元的计算方法,一种方法是采用法向量投影的思路,另外一种是直接计算曲面面积微元的方法,得出相同的结果。最后给出几个数值的例子。

The first type surface integral is widely used.ln this paper we present two proofs of the calculation formula when the surface is given by a parameter equation.One is using the method of vector projection method,the other is calculating area element of surface directly.Finally, we give two numerical example in the end of the article.