| 从矢量分析看线面与体面积分的转换 |
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| 引用本文： | 陈美红. 从矢量分析看线面与体面积分的转换[J]. 高等数学研究, 2011, 0(2): 43-44 |
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| 作者姓名： | 陈美红 |
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| 作者单位： | 南京信忠工程大学数理学院,江苏南京210044 |
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| 基金项目： | 中科院空间天气国家重点实验室开放课题（08262DAA4S）. |
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| 摘 要： | 比较斯托克斯定理与格林公式及高斯定理与体面积分转换公式,发现斯托克斯定理与高斯定理分别比格林公式与体面积分的转换公式在表达形式上更简洁,在公式所包含的内容上更全面.建议通过比较斯托克斯定理与格林公式及高斯定理与体面积分转换公式讲解线面、体面积分的互换.
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| 关 键 词： | 斯托克斯定理 格林公式 高斯公式 体面积分转换公式 |
Conversion Between Line and Surface Integrals,Surface and Volume Integrals with Vector Analysis |
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| CHEN Mei-hong. Conversion Between Line and Surface Integrals,Surface and Volume Integrals with Vector Analysis[J]. Studies In College Mathematics, 2011, 0(2): 43-44 |
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| Authors: | CHEN Mei-hong |
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| Affiliation: | CHEN Mei-hong (School of Science, Nanjing University of Information Science ＆ Technology, Nanjing 210044, PRC) |
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| Abstract: | By comparing Stokes＇ theorem, Green formula and Gauss theorem, we find that the vector forms of the Stokes＇ theorem and Gauss theorem are more succinct in form and comprehensive in content. We suggest using vector analysis to teach the conversion between line and surface integrals, and between surface and volume integrals. |
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| Keywords: | Stokes＇ theorem Green formula Gauss theorem surface and volume integrals |
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