| 解析函数Taylor展式和Laurent展式的逆向思维证明法 |
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| 引用本文： | 李秋生.解析函数Taylor展式和Laurent展式的逆向思维证明法[J].宜春学院学报,2007,29(6):41-43. |
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| 作者姓名： | 李秋生 |
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| 作者单位： | 赣南师范学院物理与电子信息学院,江西,赣州,341000 |
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| 摘 要： | 针对常用教材对于Taylor级数展开定理和Laurent级数展开定理的证明所带来的教学难题,提出了Taylor定理和Laurent定理的逆向思维证明方法,使定理的证明过程直观、易懂,利于教学.
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| 关 键 词： | 解析函数 Taylor展开 Laurent展开 逆向思维 |
| 文章编号： | 1671-380X(2007)06-0041-03 |
| 修稿时间： | 2007年9月18日 |
Reverse Thinking Method to Prove Taylor Expansion Equation and Laurent Expansion Equation of Analytic Function |
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| LI Qiu-sheng.Reverse Thinking Method to Prove Taylor Expansion Equation and Laurent Expansion Equation of Analytic Function[J].Journal of Yichun University,2007,29(6):41-43. |
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| Authors: | LI Qiu-sheng |
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| Abstract: | Typical teaching materials mostly adopt positive thinking method to prove Taylor Expansion Equation and Laurent Expansion Equation of Analytic Function,and then cause some difficulties for the teaching.In allusion to these difficulties,this paper puts forward a new method adopting reverse thinking to prove these two theorems.The process of proof shows,the new method is intuitionistic and intelligible,and is propitious to the teaching. |
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| Keywords: | analytic function Taylor expansion Laurent expansion reversal thinking |
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