| 关于曲线和曲面积分的换元法 |
| |
| 引用本文： | 詹华税. 关于曲线和曲面积分的换元法[J]. 厦门理工学院学报, 2020, 28(5): 89-92. DOI: 1019697/jcnki1673 4432202005014 |
| |
| 作者姓名： | 詹华税 |
| |
| 作者单位： | 厦门理工学院应用数学学院，福建 厦门 361024 |
| |
| 摘 要： | 在归纳、总结坐标变换下相应积分换元法的基础上，应用一阶微分形式的不变性提出曲线积分的换元法，利用微分几何外微分的方法得到三重积分换元方法下的曲面积分换元法。研究结果表明，提出的换元法可有效解决坐标变换下的曲线和曲面积分问题，简化曲线和曲面积分的计算过程。
|
| 关 键 词： | 曲线积分 曲面积分 换元法 外微分法 |
On Change of Variables for the Curve Integral and the Surface Integral |
| |
| ZHAN Huashui. On Change of Variables for the Curve Integral and the Surface Integral[J]. Journal of Xiamen University of Technology, 2020, 28(5): 89-92. DOI: 1019697/jcnki1673 4432202005014 |
| |
| Authors: | ZHAN Huashui |
| |
| Affiliation: | School of Applied Mathematics,Xiamen University of Technology,Xiamen 361024,China |
| |
| Abstract: | Applying the invariance of the differential form of first order based on the integral change of variables in coordinate transformations,the change of variables formula for the curve integral is found,and using the exterior differential calculation of differential geometry,the change of variables formula for the surface integral obtained. These results show that by change of variables a different coordinate system can be applied which simplifies the calculating process of the curve integral and the surface integral. |
| |
| Keywords: | the curve integralthe surface integralchange of variablesexterior differential method |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《厦门理工学院学报》浏览原始摘要信息 |
|
点击此处可从《厦门理工学院学报》下载免费的PDF全文 |
