上阶外微分与广义斯托克斯公式的逆向思维  

Previous-order Exterior Differentiation and the Contrary Thinking of Generalized Stokes Formula

作　　者：李华冰 宁荣健[2] LI Huabing;NING Rongjian(Basic Course Department,Hefei University Of Technology Xuancheng Campus,Xuancheng Anhui 242000,China;School of Mathematics,Hefei University of Technology,Hefei 230601,China)

机构地区：[1]合肥工业大学宣城校区基础部,安徽宣城242000 [2]合肥工业大学数学学院,合肥230601

出　　处：《大学数学》2022年第6期106-115,共10页College Mathematics

摘　　要：引入上阶外微分的概念,讨论其存在条件和表现形式.并在此基础上,探讨广义斯托克斯公式的逆向思维,丰富了外微分和广义斯托克斯公式的的理论.In this paper we introduce the notion of previous-order exterior differentiation.We discuss the existence and the expression form of previous-order exterior differentiation.By using this notion,we consider the reverse thinking of generalized Stokes’formula.These results enrich our understanding of the theory of exterior differentiation and the generalized Stokes’formula.

关 键 词：上阶外微分 广义斯托克斯公式 逆向思维 格林公式 高斯公式 斯托克斯公式 

分 类 号：O13[理学—数学] O172.2[理学—基础数学]