论解析函数的Cauchy-Riemann条件的推导与教学

On the deducing and the teaching of Cauchy-Rieman equations of analytic function

指出一些复变函数教科书在推导解析函数的Cauchy-Riemann条件时的不严谨之处并给出该条件的严格推导过程.并讨论该条件的教学问题.

In this paper errors and oversights in the deducing of Cauchy-Rieman equations of analytic function in some textbooks are pointed out and corrected. Its teaching is discussed.