【摘要】 本文从拓扑学角度看数学分析中某些问题的延伸与发展,从而使学生对其有一个整体的把握,该文主要工作是:(1)序列语言描述函数连续性应用范围的推广;(2)稠密子集五种定义应用与范围;(3)聚点概念的三种定义分析;(4)序列收敛点的唯一性条件;(5)度量与图形。更多还原

【Abstract】 This article deals with extension and development about some problems of madlemahes analysis from the view of topology in order that students can grasp it from the whole, so the main tasks of this article are: (1)populadze the continuity applicable scope about the function with the description of the sequence language; (2) study the applications and ranges of five deflnitions of dense subset; (3) analyze three different definition of accumulation point concept; (4)the sole existed conditions of convergence of sequence;(5)metrology andg aph.更多还原