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曲線による微分形式の導入
https://metro-cit.repo.nii.ac.jp/records/157
https://metro-cit.repo.nii.ac.jp/records/157d9d0c383-f6d8-4320-acde-cf91f3d60671
名前 / ファイル | ライセンス | アクション |
---|---|---|
KJ00009651761 (1.5 MB)
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Item type | 紀要論文(ELS) / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2014-03-01 | |||||
タイトル | ||||||
タイトル | 曲線による微分形式の導入 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Introduction of Differential Forms by Curves | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
言語 | en | |||||
主題 | Differential form | |||||
キーワード | ||||||
言語 | en | |||||
主題 | Curve | |||||
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 | |||||
ページ属性 | ||||||
内容記述タイプ | Other | |||||
内容記述 | P(論文) | |||||
記事種別(日) | ||||||
論文 | ||||||
記事種別(英) | ||||||
en | ||||||
Article | ||||||
著者名(日) |
中西, 泰雄
× 中西, 泰雄 |
|||||
著者名(英) |
Nakanishi, Yasuo
× Nakanishi, Yasuo |
|||||
著者所属(日) | ||||||
東京都立産業技術高等専門学校ものづくり工学科一般科目 | ||||||
抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Differential forms are useful mathematical tools in physics and engineerings. Especially, first differential forms (total differentials) play an important role in deriving formulas in electro magnetics, elastic mechanics, fluid dynamics, thermo dynamics and so on. Moreover, differential forms often give simpler expressions for formulas expressed by vector fields, which lead to a deeper understanding of physical phenomena. In mathematics, however, the definition of differentialforms is based on the concept of tangent vectors, which is rather abstract for students of engineering,while the tangent vector can be defined as a certain set of curves. The basic idea of this paper is to define differential forms directly by curves. This new definition is not only simpler than the usual one but also connected directly to geometrical images of differential forms. | |||||
雑誌書誌ID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA12210629 | |||||
書誌情報 |
東京都立産業技術高等専門学校研究紀要 en : Research reports of Tokyo Metropolitan College of Industrial Technology 巻 8, p. 18-32, 発行日 2014-03-01 |