6 0 0 0 エラスティカを巡る数理 : ベルヌイ,オイラーから現代まで
- 著者
- 松谷 茂樹
- 出版者
- 一般社団法人 日本応用数理学会
- 雑誌
- 応用数理
- 巻号頁・発行日
- vol.13, no.1, pp.48-60, 2003
- 被引用文献数
- 1
In 1691, James Bernoulli proposed the following problem called elastica problem : "What shape of elastica, an ideal thin elastic rod in a plane, is allowed ?" Euler essentially solved the problem in 1744 by developing studies of variation problem and elliptic function theory. Their studies are regarded as prototypes of harmonic map theory, nonlinear differential theory, soliton theory, differential geometry, algebraic geometry, theory of moduil of elliptic curves and so on. In this article we mention their mathematical meaning with their historical background from viewpoint of pure and applied mathematics : Their studies started from concreteness to abstractand they applied constructed abstract theory to the concrete problem. We also introduce a current study of statistical mechanics of elasticas, which might be settled by knowledge of hyperelliptic function theory.
5 0 0 0 OA エラスティカを巡る数理 : ベルヌイ,オイラーから現代まで
- 著者
- 松谷 茂樹
- 出版者
- 一般社団法人 日本応用数理学会
- 雑誌
- 応用数理 (ISSN:24321982)
- 巻号頁・発行日
- vol.13, no.1, pp.48-60, 2003-03-25 (Released:2017-04-08)
In 1691, James Bernoulli proposed the following problem called elastica problem : "What shape of elastica, an ideal thin elastic rod in a plane, is allowed ?" Euler essentially solved the problem in 1744 by developing studies of variation problem and elliptic function theory. Their studies are regarded as prototypes of harmonic map theory, nonlinear differential theory, soliton theory, differential geometry, algebraic geometry, theory of moduil of elliptic curves and so on. In this article we mention their mathematical meaning with their historical background from viewpoint of pure and applied mathematics : Their studies started from concreteness to abstractand they applied constructed abstract theory to the concrete problem. We also introduce a current study of statistical mechanics of elasticas, which might be settled by knowledge of hyperelliptic function theory.
2 0 0 0 OA させぼ競輪におけるミッドナイト競輪の売上と職業別との関連性について
- 著者
- 前田 隆二 松谷 茂樹 濵田 裕康
- 出版者
- 佐世保工業高等専門学校
- 雑誌
- 佐世保工業高等専門学校研究報告 = RESEARCH REPORTS OF NATIONAL INSTITUTE OF TECHNOLOGY,SASEBO COLLEGE (ISSN:21883688)
- 巻号頁・発行日
- vol.55, pp.42-47, 2019-01-31