| 连续和间断的探讨 |
| |
| 引用本文： | 陶志雄.连续和间断的探讨[J].浙江科技学院学报,2012(4):278-282. |
| |
| 作者姓名： | 陶志雄 |
| |
| 作者单位： | 浙江科技学院理学院 |
| |
| 基金项目： | 浙江科技学院教学研究项目(2009ⅡB-a53) |
| |
| 摘 要： | 讨论了一些流行的教科书中对连续和间断的定义和表述。通过讨论一些初等函数的例子,对连续和间断提出了自己的理解、表述和探讨。认为按照拓扑情形下的连续定义,任何初等函数在其定义域内连续,从而说明了两种定义的不同,并给出了建议。
|
| 关 键 词： | 连续 间断 函数 映射 拓扑 |
Investigation of continuity and discontinuity |
| |
| TAO Zhi-xiong.Investigation of continuity and discontinuity[J].Journal of Zhejiang University of Science and Technology,2012(4):278-282. |
| |
| Authors: | TAO Zhi-xiong |
| |
| Institution: | TAO Zhi-xiong(School of Sciences,Zhejiang University of Science and Technology,Hangzhou 310023,China) |
| |
| Abstract: | The author discusses the expressions and definitions of continuity and discontinuity in some popular text books.By giving some elementary functions,the author puts forward his own understanding,expression and investigation for these concepts and theories.According to the definition of the continuity of a map in the topology,any elementary function is continuous in the domain,which shows these two definitions are different.A suggestion is given for the issue. |
| |
| Keywords: | continuity discontinuity function map topology |
| 本文献已被 CNKI 等数据库收录！ |
|
