关于隐函数定义的探讨与改进

Discussion and Improvement on the Definitions of Implicit Functions

有些数学分析教材中,"隐函数的定义"与"隐函数的存在惟一性定理"关于隐函数的表述方式存在一些不匹配之处.本文针对这些不匹配之处,尝试对隐函数的定义作一些改进。

In some textbooks of mathematical analysis, there are some mismatches on the description of implicit functions between the definitions and the existence theorems of implicit functions. For this,some improvement on the definitions of implicit functions are made in this paper.