CAJ | 학술논문

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。
다원함수적겁한、련속이급간단，시수학분석중최기본적개념。연이，도목전위지국내류행적교재중대저사개념환몰유통일적정의。위차，본문탐토료이상궤개개념，병제출료합리적정의，특별시급출료이원함수간단점적합리정의。
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.