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.
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.
从教学管理和内容处理等方面阐述作为分析学课群主要组成的实变函数论与泛函分析课程的建设，以建设课程群的思路对课程进行全面、综合、深入的建设，提高课程建设质量和效益。
It puts forward a new concept to comprehensively and deeply build curricula group in the meantime when to build a course, so as to promote the quality and benefit of curricula construction.
从教学管理和内容处理等方面阐述作为分析学课群主要组成的实变函数论与泛函分析课程的建设，以建设课程群的思路对课程进行全面、综合、深入的建设，提高课程建设质量和效益。
It puts forward a new concept to comprehensively and deeply build curricula group in the meantime when to build a course, so as to promote the quality and benefit of curricula construction.
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