玉溪师范学院学报
玉溪師範學院學報
옥계사범학원학보
JOURNAL OF YUXI TEACHERS COLLEGE
2011年
8期
21-26
,共6页
映像%逆映像%Jacobi行列式%重积分%换元法
映像%逆映像%Jacobi行列式%重積分%換元法
영상%역영상%Jacobi행렬식%중적분%환원법
mapping%inverse mapping%Jacobi determinant%multiple integral%method of substitution
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.
從文獻[2]中的一道例題齣髮,討論瞭映像與逆映像的關繫,併聯繫一元函數的導數形式,將其推廣至多元,根據Jacobi行列式的幾何意義,映像與逆映像的關繫描繪瞭重積分變換中微元的轉換.
종문헌[2]중적일도례제출발,토론료영상여역영상적관계,병련계일원함수적도수형식,장기추엄지다원,근거Jacobi행렬식적궤하의의,영상여역영상적관계묘회료중적분변환중미원적전환.
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.
