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丁若鏞의 算書 勾股源流의 多項式의 數學的 構造

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dc.contributor.author홍성사-
dc.contributor.author홍영희-
dc.contributor.author이승온-
dc.date.available2021-02-22T06:13:13Z-
dc.date.issued2016-10-
dc.identifier.issn1226-931X-
dc.identifier.urihttps://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/3249-
dc.description.abstractThis paper is a sequel to our paper ``Mathematical Structures of Jeong Yag-yong's Gugo Wonlyu''. Although polynomials in the tianyuanshu induce perfectly the algebraic structure of polynomials, the tianyuan(天元) is always chosen by a specific unknown in a given problem, it can't carry out the role of the indeterminate in ordinary polynomials. Further, taking the indeterminate as a variable, one can study mathematical structures of polynomials via those of polynomial functions. Thus the theory of polynomials in East Asian mathematics could not be completely materialized. In the previous paper \cite{6}, we show that Jeong Yag-yong disclosed in his Gugo Wonlyu(勾股源流) the mathematical structures of Pythagorean polynomials, namely polynomials $p(a, b, c)$ where $a, b, c$ are the three sides gou(勾), gu(股), xian(弦) of a right triangle, respectively. In this paper, we show that Jeong obtained his results through his recognizing Pythagorean polynomials as polynomial functions of three variables $a, b, c$.-
dc.format.extent10-
dc.language영어-
dc.language.isoENG-
dc.publisher한국수학사학회-
dc.title丁若鏞의 算書 勾股源流의 多項式의 數學的 構造-
dc.title.alternativeMathematical Structures of Polynomials in Jeong Yag-yong's Gugo Wonlyu-
dc.typeArticle-
dc.publisher.location대한민국-
dc.identifier.doi10.14477/jhm.2016.29.5.257-
dc.identifier.bibliographicCitation한국수학사학회지, v.29, no.5, pp 257 - 266-
dc.citation.title한국수학사학회지-
dc.citation.volume29-
dc.citation.number5-
dc.citation.startPage257-
dc.citation.endPage266-
dc.identifier.kciidART002162801-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClasskci-
dc.subject.keywordAuthorJeong Yag-yong-
dc.subject.keywordAuthorGugo Wonlyu-
dc.subject.keywordAuthorPythagorean polynomials-
dc.subject.keywordAuthorpolynomial functions-
dc.subject.keywordAuthor丁若鏞(1762--1836)-
dc.subject.keywordAuthor勾股源流-
dc.subject.keywordAuthor피타고라스 多項式-
dc.subject.keywordAuthor多項函數-
dc.identifier.urlhttp://koreascience.or.kr/article/JAKO201632747976123.page-
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