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建部賢弘:承先啟後的和算家

Takebe Katahiro: A Wasan mathematician who inherited a tradition and started a new trend

摘要


本研究中,將建部賢弘與其師關孝和的數學研究作一比較,說明建部賢弘所扮演之承先的角色,以及他超越其師之處,並考察《綴術算經》之後的和算文本,探討建部賢弘啟後的角色。最後,以建部賢弘在《綴術算經》的自注中,對和算前輩的推崇為例,襯托出建部賢弘之謙遜,並說明精於數學者在當時數學學術圈所擁有的聲望與崇高地位,以及數學學術地位在江戶時期的提升。

關鍵字

和算 數學史 建部賢弘 綴術算經 關孝和

並列摘要


This article is devoted to explaining the role of Takebe Katahiro, who inherited a tradition and opened a new trend in wasan, or Japanese mathematics. We discuss his role as a wasan mathematician by comparing his mathematics research with that of his mentor, Seki Takakazu, to explain the achievements with which he surpassed his mentor. We also investigate several wasan texts written after his Tetsu-jutsu Sankei to show the trend he started. Finally, we take Takebe Katahiro’s commentary to his predecessors’ works in the Tetsu-jutsu Sankei as an example of Takebe Katahiro’s modesty, and explain the reason for the high prestige and status he had among those who are proficient in mathematics and for elevation of the academic status of mathematics in the Edo period.

參考文獻


大石慎三郎主編、孫雪靜譯,《德川十五代》。北京:吉林出版集團有限責任公司,2011。
林美杏,《建部賢弘之研究—以《綴術算經》為例》,國立台灣師範大學碩士論文,2013。
洪萬生,〈簡介徐澤林等《建部賢弘的數學思想》〉,《HPM 通訊》,第 17 卷,第 7、8 期合刊,2014。
徐澤林,《和算中源—和算算法及其中算源流》。上海:交通大學出版社,2013。
徐澤林譯注,《和算選粹》。北京:科學出版社,2008。

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