利用Stokes公式证明了一个对满足散度为零的向量场的第二型曲面积分可化为其边界封闭曲线的第二型曲线积分来计算的定理.该定理对于满足上述条件向量场的曲面积分,给出了具体转化为曲线积分进行计算的公式,最后利用该公式计算了一个例子.
We prove a theorem by the Stokes formula for vector field with divergence zero,in which we obtain a transform formula of a surface integral into a curve integral of the second type taken over its boundary curve.As its application,we compute an example.