• Title/Summary/Keyword: 이상혁

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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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DUI DUO SHU in LEE SANG HYUK's IKSAN and DOUBLE SEQUENCES of PARTIAL SUMS (이상혁(李尙爀)(익산(翼算))의 퇴타술과 부분합 복수열)

  • Han, Yong-Hyeon
    • Journal for History of Mathematics
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    • v.20 no.3
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    • pp.1-16
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    • 2007

  • In order to generalize theory of series in Iksan(翼算), we introduce a concept of double sequence of partial sums and elementary double sequence of partial sums, which play a dominant role in the study of double sequences of partial sums. We introduce a concept of finitely generated double sequence of partial sums and find a necessary and sufficient condition for those double sequences. Finally we prove a multiplication theorem for tetrahedral numbers and for 4 dimensional tetrahedral numbers.

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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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