映像与重积分的换元  

Substitution of Mapping for Multiple Integral

作　　者：陶寅莹[1] 

机构地区：[1]电子科技大学,四川成都611731

出　　处：《玉溪师范学院学报》2011年第8期21-26,共6页Journal of Yuxi Normal University

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.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.

关 键 词：映像 逆映像 JACOBI行列式 重积分 换元法 

分 类 号：O172[理学—数学]