微元法直接推导R^n空间区域求积公式

Application of Elemental Method for the Direct Derivation of an Integral Formula in R^n

根据微元法思想,运用外积这一数学工具,直接建立起R^n空间区域的求积公式■并证实了该积分公式与高维空间中微积分基本公式■相吻合。

Applying the mathematical tool of outer product, an integral formula in R^n as following has been set up directly on the basis of elemental method:Meanwhile, it has been proved that this integral formula coincides with the fundamental formula of differential and integral calculus in higher dimensional space, i.e.