L'intégration graphique des équations différentielles ordinaires
- 作者：Tournè ; s ; Dominique
- 关键词：01A45 ; 01A50 ; 01A55 ; 01A60 ; 34-03 ; 65-03 ; 65S05 ; Differential equations ; Graphical integration ; Integraphs
- 刊名：Historia Mathematica
- 出版年：2003
- 期刊代码：68_03150860
- 类别：mt
- 出版时间：November, 2003
- 卷：30
- 期：4
- 页码：457-493
- 文件大小：740 K
摘要
In the period which precedes the appearance of computers, needs in calculation of the scientists and engineers led to an important development of graphic methods of integration. To contribute to the study of this little known phenomenon, the article presents techniques and instruments used for the graphic integration of ordinary differential equations, and looks for their historic origins by going back to the beginning of calculus: processes of geometric calculation by the polygonal method or the method of radius of curvature, use of tractional motion for the conception of integraphs, reduction to graphic quadratures in finite or infinite number.