运用对称性简化球面坐标三重积分计算

Making Use of Symmetry to Predigest Calculation of Triple Integral in Spatial Polar Coordinates

讨论了在球面坐标下,动用对称性简化三重积分计算问题的解决方法,给出了在球面坐标下,运用对称性简化三重积分计算的几个定理并给出了严格的证明。

This paper discusses how to make use of symmetry to predigest calculation of triple integral in spatial polar coordinates. The author puts forward several theorems with corresponding mathematic proofs for the first time.