天元術과 記數法
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 홍성사 | - |
dc.contributor.author | 홍영희 | - |
dc.contributor.author | 이승온 | - |
dc.date.available | 2021-02-22T10:57:44Z | - |
dc.date.issued | 2012-11 | - |
dc.identifier.issn | 1226-931X | - |
dc.identifier.uri | https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/6584 | - |
dc.description.abstract | In Chinese mathematics, there have been two numeral systems, namely one in spoken language for recording and the other by counting rods for computations. They concerned with problems dealing with practical applications, numbers in them are concrete numbers except in the process of basic operations. Thus they could hardly develop a pure theory of numbers. In Song dynasty, 0 and TianYuanShu were introduced,where the coefficients were denoted by counting rods. We show that in this process, counting rods took over the role of the numeral system in spoken language and hence counting rod numeral system plays the role of that for abstract numbers together with the tool for calculations. Decimal fractions were also understood as denominate numbers but using the notions by counting rods, decimals were also admitted as abstract numbers. Noting that abacus replaced counting rods and TianYuanShu were lost in Ming dynasty, abstract numbers disappeared in Chinese mathematics. Investigating JianJie YiMing SuanFa(簡捷易明算法) written by Shen ShiGui(沈士桂) around 1704, we conclude that Shen noticed repeating decimals and their operations, and also used various rounding methods. | - |
dc.format.extent | 10 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | 한국수학사학회 | - |
dc.title | 天元術과 記數法 | - |
dc.title.alternative | TianYuanShu and Numeral Systems in Eastern Asia | - |
dc.type | Article | - |
dc.publisher.location | 대한민국 | - |
dc.identifier.bibliographicCitation | 한국수학사학회지, v.25, no.4, pp 1 - 10 | - |
dc.citation.title | 한국수학사학회지 | - |
dc.citation.volume | 25 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 10 | - |
dc.identifier.kciid | ART001713507 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | kci | - |
dc.subject.keywordAuthor | abstract and concrete numbers | - |
dc.subject.keywordAuthor | TianYuanShu | - |
dc.subject.keywordAuthor | counting rod numeral system | - |
dc.subject.keywordAuthor | decimal fractions | - |
dc.subject.keywordAuthor | repeating decimals | - |
dc.subject.keywordAuthor | Shen ShiGui | - |
dc.subject.keywordAuthor | JanJie YiMing SuanFa | - |
dc.subject.keywordAuthor | 沈士桂 | - |
dc.subject.keywordAuthor | 簡捷易明算法 | - |
dc.subject.keywordAuthor | ca. 1704 | - |
dc.identifier.url | https://www.kci.go.kr/kciportal/ci/sereArticleSearch/ciSereArtiView.kci?sereArticleSearchBean.artiId=ART001713507 | - |
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