| 代数基本定理的八种证明方法 |
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| 引用本文： | 潮兰萍.代数基本定理的八种证明方法[J].安徽广播电视大学学报,2002(2):92-94. |
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| 作者姓名： | 潮兰萍 |
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| 作者单位： | 安徽广播电视大学安庆市分校,安徽,安庆,246001 |
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| 摘 要： | 本文应用复变函数的知识,引进多项式的分析性质,从复变函数的解析性出发,分别利用指数函数的性质,最大模原理,最小模原理和复积分的有关定理中的柯西积分定理,平均值定理和残数定理对代数基本定理给出了八种证明方法.
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| 关 键 词： | 柯西积分定理 最大模原理 最小模原理 指数函数性质 |
| 文章编号： | 1008-6021(2002)02-0092-03 |
The Eight Ways of Proving the Basic Theorem of Algebra |
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| CHAO Lan-ping.The Eight Ways of Proving the Basic Theorem of Algebra[J].Journal of Anhui Television University,2002(2):92-94. |
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| Authors: | CHAO Lan-ping |
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| Abstract: | This thesis proves basic algebraic theorem in eight different ways, utilizing the knowledge of complex funtion,the analytic nature of multinomial,the analytic nature of complex function,the nature of exponential function,maximum norm,minimum norm,Canchy residue theorem,theorem of the mean and theorem of fragmental figure in some concerned theorem of compound integral. |
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| Keywords: | Canchy residue theorem the principle of maximun minimum norm the character of exponential function |
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