摘要
简要论述了Ｒｉｅｍａｎｎ 积分理论的本质缺陷是不承认σ＿ 可加性，而Ｌｅｂｅｓｇｕｅ 积分理论的出发点是σ＿ 可加性，在大学数学系本科基础课中以Ｌｅｂｅｓｇｕｅ 积分取代Ｒｉｅｍａｎｎ
It was shown briefly that essential shortage of the integral theory of Riemann was to deny σ _additibity which was the starting point of the theory of Lebesgue; the replacement of Riemann's theory by Lebesgue's in the basic courses of the mathematical department of universities must be historically necessary.
出处
《数学教育学报》
1999年第3期95-98,共4页
Journal of Mathematics Education
基金
教育部资助的教学改革研究项目
