| 基于球坐标计算第一型曲面积分注记 |
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| 引用本文： | 潘宁,曲智林. 基于球坐标计算第一型曲面积分注记[J]. 大学数学, 2021, 37(2): 99-102. DOI: 10.3969/j.issn.1672-1454.2021.02.020 |
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| 作者姓名： | 潘宁 曲智林 |
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| 作者单位： | 东北林业大学 理学院,哈尔滨 150040 |
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| 基金项目： | 黑龙江省高等教育教学改革一般研究项目 |
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| 摘 要： | 给出了利用球坐标求解第一型曲面积分的方法及在球坐标系下第一型曲面积分转化为二重积分的公式,实例表明这种方法是可行的.此研究丰富了第一型曲面积分的计算方法,也可为在高校《高等数学》课程教学中对学生能力的培养提供素材.
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| 关 键 词： | 球坐标 曲面积分 计算 |
A Note for Calculating Surface Integrals of the First Type Based on Spherical Coordinates |
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| PAN Ning,QU Zhi-lin. A Note for Calculating Surface Integrals of the First Type Based on Spherical Coordinates[J]. College Mathematics, 2021, 37(2): 99-102. DOI: 10.3969/j.issn.1672-1454.2021.02.020 |
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| Authors: | PAN Ning QU Zhi-lin |
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| Affiliation: | (College of Science,Northeast Forestry University,Harbin 150040,China) |
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| Abstract: | Using spherical coordinates method for solving the surface integral of the first type is given in this paper,the first type surface integrals in spherical coordinates into double integral formula is deduced,the examples show that the method is feasible.The study enriches the calculation method of surface integral of the first type,and also provides material for the cultivation of students’ability in the teaching of higher mathematics in universities. |
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| Keywords: | spherical coordinates surface integral calculation |
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