关于重积分计算的再理解

Another Viewpoint for Calculating Multiple Integrals

在多元函数积分学部分,重积分只讲到了二重积分和三重积分的意义及其计算方法,本文以将积分区域向低维空间投影的观点重新理解重积分的计算,并以四重积分为例详细讲解在高维欧式空间R^n(n≥4)中的多重积分的计算方法并揭示出重积分计算的本质所在.

For integration in Calculus, we usually discuss double and triple integrals only. In this paper, we project the integration domain to lower dimension space and provide the essence of the progress for calculating multiple integrals in R n(n≥4) by an example of quadruple integral.