Differentiation and Integration in Takebe Katahiro's Mathematics

Mitsuo Morimoto; 森本光生

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Differentiation and Integration in Takebe Katahiro's Mathematics

机译：武部片宏数学的微分与积分

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Takebe Katahiro (建部賢弘，1664-1739) studied carefully the Suanxue Qimeng (算学啓蒙) written by Zhu Shijet (朱世傑)in 1299 and learned from this Chinese classic how to deal with (one-variable)polynomicals with numberical coefficients 9天元術). Then he and his master Seki Takakazu (関孝和, ca. 1640 - 1708) developed a method to handle (one-variable) polynomials with variable coefficients (傍書法) and applied whis new method to solve many problems in the hatsubi Sanpo Endan Genkai (発徴算怯演段諺解，1685). Thakebe published an annotated translation of the collected work (see [1]).

机译：建部贤弘，1664-1739年的Takebe Katahiro仔细研究了朱世杰（朱世杰）在1299年写的算学启蒙（Suanxue Qimeng），并从这本中国经典著作中学到了如何处理具有数字系数的（一元）多项式9天元术）。然后，他和他的大师关孝和（大约1640年-1708年）开发了一种方法来处理具有可变系数的（单变量）多项式（傍书法），并应用了这种新方法来解决了初三桑波恩丹根海中的许多问题（発徴算怯演段谚解，1685）。 Thakebe发表了收集的作品的带注释的译文（请参见[1]）。

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《数理解析研究所讲究录》 |2006年第1513期|共13页
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Mitsuo Morimoto; 森本光生;
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