Riemann积分理论的局限性与Lebesgue积分

Limitation of Riemann Integral Theory and Lebesgue Integral

本文论述了Ｒｉｅｍａｎｎ积分理论局限性形成的原因和主要表现形式，并通过对Ｒｉｅｍａｎｎ和Ｌｅｂｅｓｇｕｅ积分的比较，说明Ｌｅｂｅｓｇｕｅ积分具有更为深刻的内涵。

The reason of the limitation of Riemann integral theory and its main forms of expression arepointed out. It is explained that Lebesgue integral has more advantage than Riemann integral bycomparing between the two.