| 映像与重积分的换元 |
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| 引用本文： | 陶寅莹.映像与重积分的换元[J].玉溪师范学院学报,2011(8):21-26. |
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| 作者姓名： | 陶寅莹 |
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| 作者单位： | 电子科技大学; |
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| 摘 要： | 从文献2]中的一道例题出发,讨论了映像与逆映像的关系,并联系一元函数的导数形式,将其推广至多元,根据Jacobi行列式的几何意义,映像与逆映像的关系描绘了重积分变换中微元的转换.
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| 关 键 词： | 映像 逆映像 Jacobi行列式 重积分 换元法 |
Substitution of Mapping for Multiple Integral |
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| TAO Yinying.Substitution of Mapping for Multiple Integral[J].Journal of Yuxi Teachers' College,2011(8):21-26. |
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| Authors: | TAO Yinying |
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| Institution: | TAO Yinying(University of Electronic Science and Technology,Chengdu,Shichuan,China 611731) |
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| Abstract: | The relation between mapping and inverse mapping was discussed through an example in Literature 2].Based on the form of its derivatives,unary function is extended to multivariate function.According to the geometric meaning of Jacobi determinant,infinitesimal of the multiple integral is essentially a simplified integral between mapping and inverse mapping. |
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| Keywords: | mapping inverse mapping Jacobi determinant multiple integral method of substitution |
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