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『九章算術』に関する研究IV : 少廣章を中心として
http://hdl.handle.net/10295/192
http://hdl.handle.net/10295/19256a5030a-7952-428e-9df6-cec084213c7e
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KJ00004249651.pdf (549.0 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2007-12-14 | |||||||||
| タイトル | ||||||||||
| タイトル | 『九章算術』に関する研究IV : 少廣章を中心として | |||||||||
| その他のタイトル | ||||||||||
| その他のタイトル | A Study on Nine Chapters on the Mathematical Art Focusing on the Chapter IV | |||||||||
| 言語 | ||||||||||
| 言語 | jpn | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Nine Chapters on the Mathematical Art | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Suanchou (Divining Blocks) | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Shaoguangshu (The Art of Diminishing Breadth) | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Kaifangshu (The Art of Extracting the Principal Square Root) | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Kailifangshu (The Art of Extracting the Principal Cube Root) | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | departmental bulletin paper | |||||||||
| 作成者 |
杜, 威
× 杜, 威
× Du, Wei
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| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | This paper is a research on Chapter 4 of Nine Chapters on the Mathematical Art. The contents of Chapter 4 are 24 problems and five methods for solving the problems. The one method is called Shaoguangshu and another methods are called Kaifangshu, Kaiyuanshu, Kailifangshu, and Kailiyuanshu. We have obtained the following three findings through this research. First, we have reproduced and interpreted the five methods faithfully by Suanchou (Divining Blocks) and clarified that the five methods are very effective and important for solving problems in Nine Chapters on the Mathematical Art. Second, we clarified that division of fractional numbers will be operated by multiplication of whole numbers not by its inverse, multiplication of fractional numbers in Shaoguangshu, and this is same to Chapter 1, because the tool is Suanchou. And finally, we clarified that some previous views of Chapter 4 might be wrong, and we submitted interpretations concerning a lot of items that are used in Nine Chapters on the Mathematical Art, especially in Chapter 4, and reproduced the process of solving some problems. | |||||||||
| 出版タイプ | ||||||||||
| 出版タイプ | VoR | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
| 書誌情報 |
秋田大学教育文化学部研究紀要 教育科学 巻 59, p. 35-39, 発行日 2004-03-31 |
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| ISSN | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 13485288 | |||||||||
| NCID | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AA11458538 | |||||||||
| 出版者 | ||||||||||
| 出版者 | 秋田大学教育文化学部 | |||||||||
