| 第二型曲线积分在第一型曲面积分中的应用 |
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| 引用本文： | 俞亚娟,郭淑娟,石澄贤. 第二型曲线积分在第一型曲面积分中的应用[J]. 高师理科学刊, 2011, 31(3): 33-35. DOI: 10.3969/j.issn.1007-9831.2011.03.010 |
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| 作者姓名： | 俞亚娟 郭淑娟 石澄贤 |
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| 作者单位： | 常州大学,数理学院,江苏,常州,213164 |
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| 基金项目： | 常州大学教学研究立项课题(GJY10020034) |
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| 摘 要： | 曲面积分和曲线积分的计算是高等数学的重点.在已有的文献中,第一型曲线积分和第二型曲线积分之间有相应的转化关系,第一型曲面积分和第二型曲面积分之间也有相应的转化关系.在这些基础之上,给出了用第二型曲线积分去计算第一型曲面积分的方法,并举例说明方法的正确性.
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| 关 键 词： | 曲线积分 曲面积分 连续函数 |
The application of the second curvilinear integral in the first surface integral |
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| YU Ya-juan,GUO Shu-juan,SHI Cheng-xian. The application of the second curvilinear integral in the first surface integral[J]. Journal of Science of Teachers＇College and University, 2011, 31(3): 33-35. DOI: 10.3969/j.issn.1007-9831.2011.03.010 |
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| Authors: | YU Ya-juan GUO Shu-juan SHI Cheng-xian |
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| Affiliation: | YU Ya-juan,GUO Shu-juan,SHI Cheng-xian(School of Mathematics and Physics,Changzhou University,Changzhou 213164,China) |
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| Abstract: | It is a keynote of the advanced mathematics to compute the curvilinear integral and the surface integral.On existed workst,he relationship between the first curvilinear integral and the second curvilinear integral was proposed,while the relationship between the first surface integral and the second surface integral was also proposed.Based on these,proposed a method which use the second curvilinear integral to compute the first surface integral.At last an example was given to illustrate the rightness of the ... |
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| Keywords: | curvilinear integral surface integral continuous function |
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