| 外微分和场的外微分形式 |
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| 引用本文： | 刘森. 外微分和场的外微分形式[J]. 合肥工业大学学报(自然科学版), 1990, 0(3) |
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| 作者姓名： | 刘森 |
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| 摘 要： | 本文在三维线性空间R~3中,以外积为工具,定义出外微分运算,以此将经典微积分中的Newton-Leibnitz公式,Green公式,Stokes公式和Ostrogradski-Gauss公式统一为Stokes定理,并给出各种场的外微分形式;和电磁场中的Maxwell方程组的外微分形式。
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| 关 键 词： | k阶外积d~k(k=0 1 2 3) 外微分d Stokes定理 场的外微分形式 |
OUTWARD DIFFERE N TIAI AND FORM OF FIELD OUTWARD DIFFERENTIAL |
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| Liu Sen. OUTWARD DIFFERE N TIAI AND FORM OF FIELD OUTWARD DIFFERENTIAL[J]. Journal of Hefei University of Technology(Natural Science), 1990, 0(3) |
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| Authors: | Liu Sen |
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| Abstract: | This article defines outward differential operation with outer product in three dimensional linear space,and also unifies the Newton-Leibnitz's formula,Green's formula, Stoke's theorem and Ostrogradski-Gauss' formula of the classical calculus as the Stoke's theorem, and gives outward differential form of all binds of fields and the outward differential form of Maxwell's equations in electromagnetic field. |
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| Keywords: | outer product of k order (k = 0 1 2 3) outward differential Stoke's theorem Form of fielb outward differenal |
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