关于数学分析教材中一个定理的说明

An Interpretation of a Theorem in the Mathematic Analysis Textbook

本文主要通过光滑曲线面积为零的特性证明一类间断点只分布在有限条光滑曲线上并且在有界闭区域上有界的二元函数的可积性。

In this paper, it is proved, that a class of discontinuity points are distributed over limited smooth curves and that bounded bivar function in bounded dosed region has the nature of integrability, by the use of the property that a smooth curve＇s area is zero.