类比建构在实变函数教学中的应用

The application analogy in functions of real variable teaching

实变函数论是现代分析必不可少的理论基础 .通过类比建构帮助学生系统掌握lebesgue测度理论 ,并注意教材中所讲授内容与习题之间的相互补充与渗透及 (R)积分与 (L)积分的对比 .

Functions of real variable is an essential basic theory in modern analysis.It can help students learn Lebesgue measare theory systematically by analogy construction.While in teaching,attention should be paid to supplementary part of exercises and the analogy of (R) integral and (L) integral.