| 曲面的微分向量与面积微元——基于向量代数的启发性推导 |
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| 引用本文： | 李晓萍.曲面的微分向量与面积微元——基于向量代数的启发性推导[J].北京工商大学学报(自然科学版),2005,23(6):55-58. |
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| 作者姓名： | 李晓萍 |
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| 作者单位： | 北京工商大学,基础部,北京,100037 |
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| 摘 要： | 本文引入微分向量的概念.进而用向量代数的方法简化了古典微积分中关于面积元素及体积元素计算公式的推导.并且给出曲面的面积元素的混合积形式等.
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| 关 键 词： | 微分向量 面积元素 体积元素. |
| 文章编号： | 1671-1513（2005）06-0055-04 |
| 收稿时间： | 2005-09-10 |
| 修稿时间： | 2005年9月10日 |
DIFFERENTIAL VECTOR AND AREA ELEMENT OF A SURFACE--HEURISTIC DEDUCTION BASED ON VECTOR ALGEBRA |
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| LI Xiao-ping.DIFFERENTIAL VECTOR AND AREA ELEMENT OF A SURFACE--HEURISTIC DEDUCTION BASED ON VECTOR ALGEBRA[J].Journal of Beijing Technology and Business University:Natural Science Edition,2005,23(6):55-58. |
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| Authors: | LI Xiao-ping |
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| Institution: | Department of Basic Studies, Beijing Technology and Business University, Beijing 100037, China |
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| Abstract: | This paper mainly makes the deduction of calculating expressions of area and volume in classical calculus simple.On the other hand it introduces the mixed product of area element for curved surface and so on. |
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| Keywords: | differential vector area element volume element |
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