浅析《实变函数》课程的知识体系

On the knowledge system of Real Variable Function

《实变函数》是高校数学专业开设的一门重要的课程,它对《泛函分析》、《概率论》等后续课程学习起着十分重要的作用.不少学生未能学好《实变函数》,其中一个重要原因是对该课程的知识体系理解不透.试图分析《实变函数》课程的知识体系,以帮助学生更好的理解及学好本课程.

Real Variable Function, a compulsory course for college students in the math department, plays an important role for their learning. However, the failure to understand the knowledge system results in poor learning. Therefore, the author tries to illustrate the knowledge system so as to make it better understood.