微元素法原理再探讨

Restudy of the Principle of Element Method

重新探讨了微元素法的原理,给出了微元素法的理论证明。并给出了简化微元法使用的一条原理,据此原理重新推导了高等数学教材中的一些常见结论。

In this paper, the principle of element method is revisited, and a new theoretical proof of the element method is presented. The proposed proof is simpler than that is given by Chen et al. A principle to simplify the element method is also presented, based on which some common conclusions in college mathematics textbooks are deduced again.