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http://dx.doi.org/10.14477/jhm.2021.34.5.165

The Structure of Dayan Qiuyishu Appear in 〈Daeyeon大衍〉 《Sanhak Jeongeui算學正義》  

Kang, Min-Jeong (Institute for the Translation of Korean Classics)
Publication Information
Journal for History of Mathematics / v.34, no.5, 2021 , pp. 165-191 More about this Journal
Abstract
The simple simultaneous linear congruence equation solution in 《Sunzi Suanjing孫子算經》 has developed into a systematic general solution in 《Shuxue Jiuzhang數書九章》. The most important parts of it is the creation of the Dayan Qiuyishu大衍求一術. The reason why 《Sanhak Jeongeui算學正義》 deals with the Dayanshu大衍術 which has lost its practicality in the calculation of astronomical calendar, is that one of the best achievement of traditional mathematics cannot be omitted. It is written with an emphasis on the disclosure of the calculation principle. It shows that Nam Byeong-gil南秉吉 and Lee Sang-hyeok李尙爀 had a fairly structural understanding of the Dayan Qiuyishu.
Keywords
Sanhak Jeongeui; Shuxue Jiuzhang; Nam Byeong-gil; Lee Sang-hyeok; Dayanshu; Dayan Qiuyishu; Simultaneous Linear Congruence Equation;
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