李伯川, 化存才, 赵奎奇. 《九章算术》中的运动学题例剖析[J]. 云南农业大学学报(社会科学), 2012, 6(6): 118-122.
引用本文: 李伯川, 化存才, 赵奎奇. 《九章算术》中的运动学题例剖析[J]. 云南农业大学学报(社会科学), 2012, 6(6): 118-122.
LI Bo-chuan, HUA Cun-cai, ZHAO Kui-qi. On the Kinematical Examples and Their Questions in the Nine Chapters on the Mathematical Art[J]. Journal of Yunnan Agricultural University (Social Science), 2012, 6(6): 118-122.
Citation: LI Bo-chuan, HUA Cun-cai, ZHAO Kui-qi. On the Kinematical Examples and Their Questions in the Nine Chapters on the Mathematical Art[J]. Journal of Yunnan Agricultural University (Social Science), 2012, 6(6): 118-122.

《九章算术》中的运动学题例剖析

On the Kinematical Examples and Their Questions in the Nine Chapters on the Mathematical Art

  • 摘要: 本文研究中国古代数学专著《九章算术》中的两章:均输章和盈不足章,对其运动学题例和解法进行了较为系统地剖析。分析表明:我国理性思维在逻辑概念体系构建方面存在着缺陷,以及在传统数学思维方面存在重结果而不重视过程的特点,同时, 《九章算术》用案例阐述内容的形式在形成自身特色时却把理性思维引致功利化的倾向。

     

    Abstract: This paper studies two chapters of Equitable Taxation and Excess and Deficit in The Nine Chapters on Mathematics Art,which was a Chinese ancient mathematical work. The kinematic examples and questions in the two chapters and their solutions are analyzed more systematically. The analyses show that there existed disadvantages ofChinese rational thinking in the construction of system of logical conceptions and characteristics of emphasizing on the results but not process in Chinese traditionalmathematical thinking. At the same time, the formation of the contents described as examples in Arithmetic in Nine Chapters formed its style but led the rational thinking to autilitarian tendency of unfortunately.

     

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