• 제목/요약/키워드: Jin-Yuan Mathematics

검색결과 4건 처리시간 0.017초

송·원대의 과학에 대하여 II -금에서 원으로- (Sciences in the Song and Yuan Dynasties II)

  • 김옥자;김영옥
    • 한국수학사학회지
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    • 제28권3호
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    • pp.119-132
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    • 2015
  • This survey is the second part of the history of science of Song and Yuan dynasties and will covers the period from Jin to Yuan. Following the first part, we look at the calendrical astronomy, mathematics and medicine. In this survey we again follow Yabuuchi's work on the history of science of Song and Yuan period and Du Shiran's work on the history of science of China. We start from the sciences and mathematics of Jin which inherited those of Northern Song and see how they influenced the whole China including Yuan and Southern Song. As a conclusion the tendency to practical usages in the Southern Song as well as the suppression of Han people in Yuan prevented developments of theoretical sciences in Yuan and Ming later.

금원수학여전진도(金元数学与全真道) (Jin-Yuan Mathematics and Quanzhen Taoism)

  • 곽서춘
    • 한국수학사학회지
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    • 제29권6호
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    • pp.325-333
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    • 2016
  • Chinese Mathematics during the period of Jin (1115-1234) and Yuan (1271-1368) is an integral part of the high achievements of traditional mathematics during the Song (962-1279) and Yuan dynasties, which is another peak in the history of Chinese mathematics, following the footsteps of the high accomplishments during the Warring States period (475-221 BCE), the Western Han (206 BCE-24 ADE), Three Kingdoms (220-280 AD), Jin dynasty (265-420 AD), and Southern and Northern Dynasties (420-589 AD). During the Jin-Yuan period, Quanzhen Taoism was a dominating branch in Taoism. It offered certain political protection and religious comforts to many during troubled times; it also provided a relatively stable environment for intellectual development. Li Ye (1192-1279), Zhu Shijie (fl. late 13th C to early 14th C) and Zhao Youqin (fl. late 13th C to early 14th C), the major actors and contributors to the Jin-Yuan Mathematics achievements, were either heavily influenced by the philosophy of Quanzhen Taoism, or being its followers. In certain Taoist Classics, Li Ye read the records of the relations of a circle and nine right triangles which has been known as Dongyuan jiurong 洞渊九容 of Quanzhen Taoism. These relations made significant contributions in the study of the circles inscribed in a right triangle, the reasoning of which directly led to the birth of the Method of Celestial Elements (Tianyuan shu 天元术), which further developed into the Method of Two Elements (Eryuan shu ⼆元术), the Method of Three Elements (Sanyuan shu 三元术) and the Method of Four Elements (Siyuan shu 四元术).

송·원대의 과학에 대하여 I -송에서 금까지- (Sciences in the Song and Yuan Dynasties I)

  • 김영욱
    • 한국수학사학회지
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    • 제28권1호
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    • pp.1-14
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    • 2015
  • This survey is the first part of the history of science of Song and Yuan dynasties and covers the period starting from Song to Jin. The major science in the Song period consists of calendrical astronomy, mathematics and medicine, and mathematics is also related to water supply technology. In this survey we follow Yabuuchi's work on the history of science of Song and Yuan period and Du Shiran's work on the history of science of China. We will try first to see how academic science flourished in the Northern Song, what caused the public science to prevail in the Southern Song, and then how the academic trend continued in Jin. We will continue to cover the Jin-Yuan period in the ensuing survey.

NUMERICAL IMPLEMENTATIONS OF CAUCHY-TYPE INTEGRAL EQUATIONS

  • Abbasbandy, S.;Du, Jin-Yuan
    • Journal of applied mathematics & informatics
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    • 제9권1호
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    • pp.253-260
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    • 2002
  • In this paper, a good interpolation formulae are applied to the numerical solution of Cauchy integral equations of the first kind with using some Chebyshev quadrature rules. To demonstrate the effectiveness of the Radau-Chebyshev with respect to the olds, [6],[7],[8] and [121, some examples are given.