微积分学中的微元分析法

Analytic way of differential element in Calculus

微元分析法早在微积分学的严密理论建立之前就已经在几何学、力学、运动学、天文学等领域广泛应用.这些应用在解决实际问题,给出很多精彩结果的同时,引导人们认识了微分与积分间的互逆关系,从而导致了微积分基本定理的建立.详细分析讨论微元分析法的应用条件和方法.

This paper introduces that people realized mutually converse connection of differential and integral so result in the fundamental theorem of Calculus. The analytic way of differential element is very important in grasping the theory and application of Calculus. In this paper,the applied condition and method of analytic way of differential element are discussed.