Stokes公式的自由度及其在计算积分中的应用  

The Degrees of Freedom inside the Stokes’Theorem and Their Applications in the Calculating of Integrals

作　　者：罗志刚 LUO Zhigang(The School of Science,Hubei University of Technology,Wuhan 430068,China)

机构地区：[1]湖北工业大学理学院,武汉430068

出　　处：《大学数学》2024年第5期69-73,共5页College Mathematics

基　　金：湖北工业大学校内资助项目(337/187)。

摘　　要：考察了Stokes公式中蕴含的自由度问题.基于这种自由度,得到了计算第二类曲面积分(或一般的流形上的积分)的分部积分法和更改被积曲面积分法的两个对偶公式.用具体例子说明了这两个公式的应用.The degrees of freedom inside the Stokes’theorem are investigated.With these degrees of freedom,two dual formulae for the second type of integrals over curved surfaces(or over general manifolds)are obtained.The first formula is for the method of integration by parts,and the second one is associated with changing the surface on which the integral is defined,respectively.An example is provided to illustrate the applications of these two formulae.

关 键 词：STOKES公式 微分形式 第二类曲面积分 

分 类 号：O172.2[理学—数学]