| 论柯西定理的证法 |
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| 引用本文： | 岳小云,李艳坡,刘学,王金然.论柯西定理的证法[J].河北科技师范学院学报,2006,20(2):39-40. |
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| 作者姓名： | 岳小云 李艳坡 刘学 王金然 |
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| 作者单位： | 1. 河北科技师范学院,数理系,河北,秦皇岛,066004
2. 燕山大学,研究生院 |
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| 摘 要： | 柯西定理是复变函数论中的重要定理之一,教材中有多种证法,大多数是在附加导函数连续的条件下给出的,证明不够严密,为此,讨论了一种取消该附加条件后的证法,过程虽复杂,但证明严密、思路清晰.
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| 关 键 词： | 复变函数 解析函数 柯西定理 |
| 文章编号： | 1672-7983(2006)02-0039-02 |
| 修稿时间： | 2006年1月9日 |
Reasoning Methods of Cauchy Theorem |
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| YUE Xiao-yun,LI Yan-po,LIU Xue,WANG Jin-ran.Reasoning Methods of Cauchy Theorem[J].Journal of Hebei Normal University of Science & Technology,2006,20(2):39-40. |
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| Authors: | YUE Xiao-yun LI Yan-po LIU Xue WANG Jin-ran |
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| Abstract: | Cauchy theorem is one important theorem of complex function and there are many reasoning methods demonstrated in the textbook.Unfortunately,the reasoning is not strict under the condition of added function continuance.One reasoning method about canceling the added condition is discussed and the reasoning is strict and clear even though the process is complex. |
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| Keywords: | complex function analytic function Cauchy theorem |
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