多重微积分与微积分基本定理的统一形式的探讨

The Consistent Formulations of Multidimensional Differential and Integral Based on the Elementary Theorem of Derivative and Integral

在单变量微积分中，有一个著名的公式—Newton－Leibniz公式，它揭示了一元函数微分与积分的互逆运算关系，具有非常深刻的涵义．而在多变量的微积分中，是否也具有这种涵义呢？探讨的结果；它与单变量微积分基本定理是一致的．

There is a famous formula that called NewtonLeibnitz formula in the single variate, which hasdeeply infered means that the deriVative and integral operation is muual inverse relation. What hasit similar that relation in the multidimensional differential and integral? In faCt, it is consistencywith the single variate.