| 关于多元微积分基本定理与Stokes公式的注记 |
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| 引用本文： | 罗玉文.关于多元微积分基本定理与Stokes公式的注记[J].怀化学院学报,2010,29(2):102-104. |
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| 作者姓名： | 罗玉文 |
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| 作者单位： | 重庆理工大学,数学与统计学院,重庆,400050 |
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| 摘 要： | 叙述了多元函数微积分的基本定理,说明了在平面上,微积分基本定理就是Green公式,在空间的情形,微积分基本定理就是Gauss公式,在曲面的情形,微积分基本定理就是通常的Stokes公式.并且,在引入外微分的概念后,这三个公式可以统一地用一个公式来表示,就是广义的Stokes公式.这样,为读者深入理解数学分析教材中的微积分基本定理提供帮助.
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| 关 键 词： | 微积分基本定理 外微分 Stokes公式 |
Remarks on Multiple Variable Calculus Fundamental Theorem and Stokes Formula |
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| LUO Yu-wen.Remarks on Multiple Variable Calculus Fundamental Theorem and Stokes Formula[J].Journal of Huaihua University,2010,29(2):102-104. |
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| Authors: | LUO Yu-wen |
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| Abstract: | In this paper,the author stated fundamental theorem of multiple variable calculus.On the plane,the fundamental theorem is Green formula;on the space,fundamental theorem of calculus is Gauss formula;and on surface,it is Stokes formula which we have studied.Furthermore,after the concept exterior differentiation be introduced,these three formulas can be expressed as one formula,that is,generalized Stokes formula.Then it will help readers to understand more deeply the fundamental theorem of calculus in textbook. |
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| Keywords: | fundamental theorem of calculus exterior differentiation Stokes formula |
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