数学分析中的若干基础性问题

Some Basic Problems in Mathematics Analysis

本文对当前数学分析教材中出现的新变化进行了客观的评述和分析,并用近现代分析的观点对这些新变化涉及到的一些数学分析基础性问题进行了讨论,其中包含了作者在教学中的一些认识、体会和做法。

In this paper, the author gives some comments and analysis to the new changes which arose in the mathematics analysis courses publicated recently, and using the the views of recent and modern mathematics analysis, the author gives some discussion to the basic problems involved by these new changes in the mathematics analysis courses, which contains the recognizitions, experiences and method of the author in his teaching works.