| 微积分和无穷小量的哲学思考 |
| |
| 引用本文： | 匡继昌. 微积分和无穷小量的哲学思考[J]. 数学教育学报, 2007, 16(2): 1-3 |
| |
| 作者姓名： | 匡继昌 |
| |
| 作者单位： | 湖南师范大学,数学系,湖南,长沙,410081 |
| |
| 摘 要： | 微积分的神秘面纱早已揭开,然而与此有关的对无穷小量的认识却经历了几千年漫长而曲折的过程.从哲学的高度来认识,它来源于对客观事物无穷变化过程的不同认识阶段和理想化的抽象.
|
| 关 键 词： | 无穷小量 微积分 潜无限 实无限 |
| 文章编号： | 1004-9894(2007)02-0001-03 |
| 修稿时间： | 2007-01-19 |
Philosophy Sense of Calculus and Infinitesimal |
| |
| KUANG Ji-chang. Philosophy Sense of Calculus and Infinitesimal[J]. Journal of Mathematics Education, 2007, 16(2): 1-3 |
| |
| Authors: | KUANG Ji-chang |
| |
| Affiliation: | Department of Mathematics, Hunan Normal University, Hunan Changsha 410081, China |
| |
| Abstract: | The mystique of the calculus had been resolved,but knowledge for infinitesimal experienced some thousands of difficulty.It originated from different knowledge stage to infinite change process of the objectivity and the idealization abstraction from a high point of the philosophy. |
| |
| Keywords: | infinitesimal calculus potential infinity actual infinity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
