数学分析中分区间方法及应用

Dividing Method and Its Application in Mathematical Analysis

系统地介绍了数学分析中的"分区间法"。结合数学分析教材中关于一致连续、积分的极限、一致收敛等定义以及性质对分区间法的应用进行了系统探讨,得到一些有用的性质和方法。在此基础上,举出一些有代表性的例子,进一步运用所得到的性质和方法,力求使学生在数学分析的学习中加深印象,提高教学效果。

The paper mainly introduces the dividing method in mathematical analysis.By analyzing the uniform continuity,the definition of the definite integration,the limit of integration,and uniform convergence we explore the application of the dividing method radically and get some useful conclusions.Based on that,we give some typical examples to illustrate the properties and methods we have got.The purpose of this paper is to improve our teaching effect and make the students learn the course well.