谈Riemann积分理论中的两个基本问题

On Two Fundamental Problems of The Riemann Integral's Theory

用逼近的方法处理数学问题,是现代数学常用的基本手段。本文用逼近的方法讨论积分理论中ξi可任意选取的充分条件和Riemann积分的几何意义。

It is a kind of commonly used methods that solves mathematical problem by approximation. The sufficient conditions on casual definitionζi in the theory on integral and the geometry sense of Riemann integral are discussed by approximation in this article.