| 中国传统数学思想对幂级数理论的研究 |
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| 引用本文： | 徐传胜.中国传统数学思想对幂级数理论的研究[J].西安电子科技大学学报(社会科学版),2006,16(2):143-148. |
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| 作者姓名： | 徐传胜 |
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| 作者单位： | 临沂师范学院,数学系,山东,临沂,276001;西北大学,数学与科学史研究中心,陕西,西安,710069 |
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| 基金项目： | 中国科学院资助项目;吴文俊丝绸之路天元基金 |
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| 摘 要： | 中国传统数学虽未进入微积分的全面发展时代,但在幂级数理论研究上却一枝独秀。清代数学家明安图、董诚、项名达等运用具有传统数学特色的方法对三角函数和对数函数等初等函数幂级数展开问题进行了深入研究。其中包含了某些微积分思想,因而推动了中国数学从初等数学向高等数学的过渡。这些数学思想对今日的数学创造仍有着启发意义。
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| 关 键 词： | 幂级数 明安图 董城 项名达 三角函数 |
| 文章编号： | 1008-472X(2006)02-0143-06 |
| 修稿时间： | 2005年7月25日 |
Study of the Theory of Power Series Expansion in Chinese Traditional Mathematics |
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| XU Chuan-sheng.Study of the Theory of Power Series Expansion in Chinese Traditional Mathematics[J].Journal of Xidian University (Social Sciences Edition),2006,16(2):143-148. |
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| Authors: | XU Chuan-sheng |
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| Abstract: | Though differential calculus did not emerge,the theory of power series had developed in China.The mathematicians in Qing dynasty,Ming An-tu,Dong You-cheng and Xiang Ming-da,used the method of Chinese traditional mathematics to study the series development problem about triangle function,arc function and logarithmic function,in which the thought of differential calculus is contained,so it propel the transition forward about from elementary mathematics to higher mathematics in China.Up to now the thoughts still have far-reaching influence on the modern mathematical creativity. |
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| Keywords: | power series Ming An-tu Dong You-cheng Xiang Ming-da |
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