| 多元函数微分学中基本概念之间的关系 |
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| 引用本文： | 赵乃虎.多元函数微分学中基本概念之间的关系[J].西安航空技术高等专科学校学报,2011,29(1):89-91. |
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| 作者姓名： | 赵乃虎 |
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| 作者单位： | 西安航空技术高等专科学校基础部,陕西,西安,710077 |
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| 摘 要： | 多元函数微分学是高等数学教学的重点之一,理清其基本概念之间的相互关系对于认识多元函数的性态具有重要的意义。通过两个命题的证明及反例的构造,阐述多元函数微分学中几个重要概念之间的相互关系。
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| 关 键 词： | 多元函数 偏导数 方向导数 可微 |
Relationship between Basic Concepts in Multi-variable Differential Calculus |
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| ZHAO Nai-hu.Relationship between Basic Concepts in Multi-variable Differential Calculus[J].Journal of Xi'an Aerotechnical College,2011,29(1):89-91. |
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| Authors: | ZHAO Nai-hu |
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| Institution: | ZHAO Nai-hu (Department of Basic Courses,Xi'an Aerotechnical College,Xi'an 710077,China) |
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| Abstract: | Multi-variable differential calculus is one of the keys in the teaching of advanced mathematics.It is of great significance for knowing the condition of multi-variable to find out the relationship of basic concepts of advanced mathematics.Through the manifestation of two propositions and the framework of counter examples,the article elaborates on the relationship of several important concepts in multi-variable differential calculus. |
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| Keywords: | Multi-variable function Partial differential coefficient Directional derivatives Differentiability |
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