摘要
多元函数的极限、连续以及间断,是数学分析中最基本的概念。然而,到目前为止国内流行的教材中对这些概念还没有统一的定义。为此,本文探讨了以上几个概念,并提出了合理的定义,特别是给出了二元函数间断点的合理定义。
The concepts of limit,continuity and discontinuity of function of several variables are the most basic concepts in the mathematical analysis.However,until now there is no uniform definition of these concepts among the popular text books.In this paper,we discuss the above concepts,and put forward the reasonable definitions,and particularly put forward the reasonable definition of discontinuity for binary function.
出处
《山东师范大学学报(自然科学版)》
CAS
2014年第4期67-68,共2页
Journal of Shandong Normal University(Natural Science)
关键词
极限
连续
间断
limit
continuity
discontinuity