• Title/Summary/Keyword: 연립합동식

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Mathematical Rhymes in Oriental Mathematics and Their Didactical Implications (동양 수학에서의 구결 및 그 교수학적 함의)

  • Chang, Hye-Won
    • Journal for History of Mathematics
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    • v.19 no.4
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    • pp.13-30
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    • 2006
  • The purpose of this study is to investigate the meaning and roles of rhymes in oriental mathematics. To do this, we consider the rhymes in traditional chinese, korean, indian, arabian mathematical books and the mathematical knowledge which they implicate. And we discuss the reasons for which they were often used and the roles which they played. In addition, we suggest how to use them in teaching mathematics.

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History of Indeterminate Equations (불정방정식의 역사)

  • Hong, Young-Hee
    • Journal for History of Mathematics
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    • v.18 no.3
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    • pp.1-24
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    • 2005
  • Although indeterminate equations were dealt in Jiu zhang suan shu and then in Sun zi suan fing and Zhang Giu Jian suan Jing in China, they did not get any substantial development until Qin Jiu Shao introduced da yan shu in his great book Shu shu jiu zhang which solves goneral systems of linear congruences. We first investigate his da yan shu and then study the history of indeterminate equations in Chosun Dynasty. Further, we compare Qin's da yan shu with that in San Hak Jung Eui written by Chosun mathematician Nam Byung Gil.

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The Structure of Dayan Qiuyishu Appear in 〈Daeyeon大衍〉 《Sanhak Jeongeui算學正義》 (《산학정의(算學正義)》 〈대연(大衍)〉에 나타난 대연구일술(大衍求一術)의 구조)

  • Kang, Min-Jeong
    • Journal for History of Mathematics
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    • v.34 no.5
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    • pp.165-191
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    • 2021
  • 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.