摘要
在建立微分线性空间基础上、引入向量外积和有向体积,找到了微分线性变换与有向体积之间的关系,由此给出了n重积分换元公式的一个简单证法.
We give a simple proof method of substitution formula for n—dimensional integrals. We construct a differential linear space and use generalized cross product of vectors. The substitution formula can be derived by using relationship between differential linear transformation and oriented volume in the construction.
出处
《大学数学》
2013年第2期126-130,共5页
College Mathematics
关键词
n重积分
微分线性空间
有向体积
向量外积
n-dimensional
differential linear spaces
oriented volume
cross product of vectors
