| 关于微积分学中的形而上学方法 |
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| 引用本文： | 邓立虎. 关于微积分学中的形而上学方法[J]. 东莞理工学院学报, 2005, 12(2): 18-21 |
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| 作者姓名： | 邓立虎 |
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| 作者单位： | 东莞理工学院学报编辑部,广东,东莞,523808 |
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| 摘 要： | 通过对弧长的"微分勾股定理"、阿基米德的曲边三角形解法以及微积分学大量的概念和理论分析,说明了没有形而上学的方法,就不会有定积分以及三维欧氏空间的线、面、体积分等概念的形成.没有形而上学的方法,就不会有微积分学的诞生.形而上学的方法推动了微积分学的发展.
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| 关 键 词： | 形而上学 辩证法 微积分 |
| 文章编号： | 1009-0312(2005)02-0018-04 |
| 修稿时间： | 2005-03-11 |
On Metaphysical Methods in Calculus |
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| Deng Lihu. On Metaphysical Methods in Calculus[J]. Journal of Dongguan Institute of Technology, 2005, 12(2): 18-21 |
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| Authors: | Deng Lihu |
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| Abstract: | Based on the analysis of the arc length differential Pythagoras theorem, the Archimedean solution to curve triangle and a number of concepts and theories of calculus, this article argues that many mathematical notions, such as definite integral and line integral, area integral, volume integral etc., in three-dimensional Euclid space, could not have been formed if mathematicians had not drawn on the wisdom of metaphysics. The birth of calculus would have been inconceivable without metaphysical methods, which have promoted the development of calculus. |
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| Keywords: | metaphysics dialectics calculus |
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