| 关于泰勒(Taylor)中值定理的一个证明 |
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| 引用本文： | 刘俊英,雪莲.关于泰勒(Taylor)中值定理的一个证明[J].内蒙古农业大学学报(自然科学版),2008,29(1):199-201. |
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| 作者姓名： | 刘俊英 雪莲 |
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| 作者单位： | 1. 内蒙古农业大学职业技术学院,呼和浩特,014109
2. 内蒙古师范大学数学科学学院,呼和浩特,010022 |
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| 摘 要： | 泰勒(Taylor)中值定理是微分学中1个重要的定理之一,在一般的数学分析或高等数学教材中,该定理的证明是先构造函数的n次泰勒(Taylor)多项式,然后再给出证明.本文给出1个别于传统的证明.教学实践表明,这种证明学生易于掌握.
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| 关 键 词： | 微分中值定理 皮亚诺余项 拉格朗日余项 |
| 文章编号： | 1009-3575(2008)01-0199-04 |
| 修稿时间： | 2007年5月14日 |
A PROVING METHOD OF TAYLOR MEDIAN THEOREM |
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| LIU Jun-ying,XUE Lian.A PROVING METHOD OF TAYLOR MEDIAN THEOREM[J].Journal of Inner Mongolia Agricultural University(Natural Science Edition),2008,29(1):199-201. |
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| Authors: | LIU Jun-ying XUE Lian |
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| Institution: | 1. Vocational and technical college of Inner Mongolia agricultural university 014109;China;2. Mathmatic science college of Inner Mongolia normal university 010022;China |
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| Abstract: | The Taylor median theorem is one of the most important theorems in differential calculus.In many textbooks of mathematics analysis or higher math,the proving methods of Taylor median theorem,generally,are first forming a function of n-power multinomial and then proving it.However,the paper presents another different method of proving the median theorem.By practice,it is indicated that this method is easier to be perceived by students. |
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| Keywords: | Differential median theorem peano remainder lagrange remainder |
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