• Title/Summary/Keyword: Lee Sang Hyuk

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Lee Sang Hyuk's ChaGeunBangMongGu and Shu li jing yun (이상혁(李尙爀)의 차근방몽구(借根方蒙求)와 수리정온(數理精蘊))

  • Hong, Sung-Sa;Hong, Young-Hee
    • Journal for History of Mathematics
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    • v.21 no.4
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    • pp.11-18
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    • 2008

  • In this paper, we investigate Lee Sang Hyuk (李尙爀, $1810{\sim}?$)'s first mathematical work ChaGeunBangMongGu(借根方蒙求, 1854) and its relation with Shu li jing yun and Chi shui yi zhen. We then study an influence of western mathematics for establishing his study on algebra.

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Nam Byung Gil and his Theory of Equations (남병길(南秉吉)의 방정식논(方程式論))

  • Hong, Sung-Sa;Hong, Young-Hee
    • Journal for History of Mathematics
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    • v.20 no.2
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    • pp.1-18
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    • 2007

  • In the middle of 19th century, Chosun mathematicians Nam Byung Gil(南秉吉) and Lee Sang Hyuk(李尙爀) studied mathematical structures developed in Song(宋) and Yuan(元) eras on top of their early studies on Jiu zhang suan shu(九章算術) and Shu li jing yun(數理精蘊). Their studies gave rise to a momentum for a prominent development of Chosun mathematics in the century. In this paper, we investigate Nam Byung Gil's JipGoYunDan(輯古演段) and MuIHae(無異解) and then study his theory of equations. Through a collaboration with Lee, Sang Hyuk, he consolidated the eastern and western structure of theory of equations.

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Mathematics in Chosun Dynasty and Si yuan yu jian (조선(朝鮮) 산학(算學)과 사원옥감(四元玉鑑))

  • Hong, Sung-Sa;Hong, Young-Hee
    • Journal for History of Mathematics
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    • v.20 no.1
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    • pp.1-16
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    • 2007

  • In the 19th century, Chosun mathematicians studied the most distinguished mathematicians Qin Jiu Shao(泰九韶), Li Ye(李治) Zhu Shi Jie(朱世傑) in Song(宋), Yuan(元) Dynasty and they established a solid theoretical development on the theory of equations. These studies began with their study on Si yuan yu jian xi cao(四元玉鑑細艸) compiled by Luo Shi Lin(羅士琳). Among those Chosun mathematicians, Lee Sang Hyuk(李尙爀, $1810{\sim}?$) and Nam Byung Gil(南秉吉 $1820{\sim}1869$) contributed prominently to the research. Relating to Si yuan yu jian xi cao, Nam Byung Gil and Lee Sang Hyuk compiled OgGamSeChoSangHae(玉監細艸詳解) and SaWonOgGam(四元玉鑑), respectively and then later they wrote SanHakJeongEi(算學正義) and IkSan(翼算), respectively. The latter in particular contains most creative results in Chosun Dynasty mathematics. Using these books, we study the relation between the development of Chosun mathematics and Si yuan yu jian.

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