| 多重微积分与微积分基本定理的统一形式的探讨 |
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| 引用本文： | 任亚娣.多重微积分与微积分基本定理的统一形式的探讨[J].应用数学与计算数学学报,1999,13(2):43-46. |
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| 作者姓名： | 任亚娣 |
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| 作者单位： | 上海大学高等数学教研室!上海，200436 |
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| 摘 要： | 在单变量微积分中，有一个著名的公式—Newton－Leibniz公式，它揭示了一元函数微分与积分的互逆运算关系，具有非常深刻的涵义．而在多变量的微积分中，是否也具有这种涵义呢？探讨的结果；它与单变量微积分基本定理是一致的．
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| 关 键 词： | r次微分形式 牛顿－莱布尼兹公式 |
The Consistent Formulations of Multidimensional Differential and Integral Based on the Elementary Theorem of Derivative and Integral |
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| YADI REN.The Consistent Formulations of Multidimensional Differential and Integral Based on the Elementary Theorem of Derivative and Integral[J].Communication on Applied Mathematics and Computation,1999,13(2):43-46. |
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| Authors: | YADI REN |
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| Abstract: | There is a famous formula that called NewtonLeibnitz formula in the single variate, which hasdeeply infered means that the deriVative and integral operation is muual inverse relation. What hasit similar that relation in the multidimensional differential and integral? In faCt, it is consistencywith the single variate. |
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| Keywords: | Differential Forms of Degree r Newton-Leibnitz Formula |
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