实变函数论

发掘实变函数论课程中的创造性因素

Excavate the Creative Factors in the Theory of Real Variable Functions

讨论实变函数论课程的主题情境分析问题.包括：Lebesgue测度与积分理论产生以及展开的问题线索、主要想法、主要技术处理手段、整体结构等问题。

This article is dealing with the problem of the subject context analyzing for Real Variable Function Theory , including Lebesgue measure , integral theory , the developing clue of the problem , the main idea , the main methods of skill , the whole construction , etc .

实变函数论是现代分析必不可少的理论基础。

Functions of real variable is an essential basic theory in modern analysis .

实变函数论课程教学改革的探索与实践

Some Ideas on Educational Reform in the Course of Real Variable Function Theory

浸透在实变函数论中的主要数学思想方法

Main Mathematical Thought and Method in Real Analysis

关于实变函数论的两个问题

Two Problems Concerning Solid Variable Function

本文探讨了当今教育改革的进展现状中存在的问题，就实变函数论的定位讨论其课程建设改革中的一些问题。

This paper discusses some questions of educational reform at present and some questions of course construction .

同时，对实变函数论课程教学内容改革相关的问题作了探讨。

Meanwhile , they discuss some relative problems of reform about teaching contests in the course of Real Analysis .

主要讨论了《实变函数论》中定理：“可数个可数集之并是可数集”的多种证明。

This paper give the proofs of the Keal Function " a theorem that sum aggregate enumerable set is countable aggregate " .

数学课程的主题情境分析可以给学习者导引出一个整体思路及框架，有利于实变函数论课程的教学与学习。

The analysis of subject context in the mathematics course gives the learners a complete thinking and frame , which is good for the teaching and studying of Real Variable Function Theoty .