| Green公式及其证明 |
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| 引用本文： | 李玲,胡学刚.Green公式及其证明[J].渝西学院学报(自然科学版),2007(5):40-41. |
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| 作者姓名： | 李玲 胡学刚 |
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| 作者单位： | 重庆邮电大学信息与计算教学部 重庆南岸400065 |
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| 摘 要： | 首先指出数学分析中反映二重积分和第二类平面线积分联系的Green公式可以看成是散度定理的一种特殊情形，然后利用散度定理给出广义分部积分公式、第一Green公式和第二Green公式的证明．
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| 关 键 词： | Green公式 散度定理 分部积分公式 |
The Green's Formula and its Proof |
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| Authors: | LI Ling HU Xue-gang |
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| Institution: | LI Ling, HU Xue- gang ( Teaching Group of Information and Computation, Chongqing University of Posts and Telecommunications, Nan＇ an Chongqing 400065, China) |
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| Abstract: | This paper pointed out the Green's formula which establishes a relation between a line integral and a double integral in Advanced Mathematics is a special case of the Divergence Theorem.Moreover,we also gave the proofs of generalization formula of integration by parts,the Green's formula of first type and the Green's formula of second type by using the divergence theorem. |
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| Keywords: | the Green's formula divergence theorem formula of integration by parts |
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