微分与积分概念的非标准陈述

Study on Nonstandard Statements of Differential and Integral Concepts

微分和积分是数学分析中十分重要的两个概念,初学者往往很难掌握其要领,故而感觉到难以领会和理解,本文借助于微分和积分两个概念的非标准陈述,利用熟知的例题和定理加以证明讨论,对微分和积分概念进行了全新阐述,旨在让学生换一种思路和方法来深入理解这两个概念.

The differential and integral are two important concepts in mathematical analysis.It is difficult to grasp the essentials for beginners.In this paper,non standard statements based on differential and integral concepts was used and the examples and prove theorem are discussed.The concept of differential and integral aims to give students the two in-depth understanding of the concept of a kind of thought and method.