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| 从等周不等式谈Green公式的一个应用 | |
| 引用本文： | 蒲和平,李厚彪,何林芸. 从等周不等式谈Green公式的一个应用[J]. 大学数学, 2013, 29(2): 82-85 |
| 作者姓名： | 蒲和平 李厚彪 何林芸 |
| 作者单位： | 1. 电子科技大学数学科学学院,成都,611731 2. 电子科技大学英才实验学院,成都,611731 |
| 摘 要： | Green公式给出了平面图形面积与曲线积分的关系,利用这种关系给出了平面曲线等周不等式的一个简捷证明,并给出了平面图形面积的一个近似计算公式以及两个教学计算实例. |
| 关 键 词： | Green公式 等周不等式 面积 近似公式 |
On an Application of Green's Formula Based on the Proof of Isoperimetric Inequalities |
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| PU He-ping , LI Hou-biao , HE Lin-yun. On an Application of Green's Formula Based on the Proof of Isoperimetric Inequalities[J]. College Mathematics, 2013, 29(2): 82-85 | |
| Authors: | PU He-ping LI Hou-biao HE Lin-yun |
| Affiliation: | (School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China; Yingcai Experimental School, University of Electronic Science and Technology of China, Chengdu 611731, China) |
| Abstract: | As is known to all, the Green＇s Formula presents the relationship between the tlat graphic area and the curve integral. Based on this fact, a simple proof of the isoperimetric inequality is presented in this paper, and an approximate formula on flat graphic area is also given. Finally, two specific practical examples are also illustrated. |
| Keywords: | Green＇ s formula isoperimetric inequalities area approximate formula |
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