Diagrams in the theory of differential equations (eighteenth to nineteenth centuries) - Université de La Réunion Access content directly
Journal Articles Synthese Year : 2012

Diagrams in the theory of differential equations (eighteenth to nineteenth centuries)

Abstract

Diagrams have played an important role throughout the entire history of differential equations. Geometrical intuition, visual thinking, experimentation on diagrams, conceptions of algorithms and instruments to construct these diagrams, heuristic proofs based on diagrams, have interacted with the development of analytical abstract theories. We aim to analyze these interactions during the two centuries the classical theory of differential equations was developed. They are intimately connected to the difficulties faced in defining what the solution of a differential equation is and in describing the global behavior of such a solution.
Fichier principal
Vignette du fichier
tournes_2012a_synthese_186.pdf (1.02 Mo) Télécharger le fichier
Origin Publisher files allowed on an open archive
Loading...

Dates and versions

hal-01186149 , version 1 (13-04-2020)

Licence

Identifiers

Cite

Dominique Tournès. Diagrams in the theory of differential equations (eighteenth to nineteenth centuries). Synthese, 2012, 186 (1), pp.257-288. ⟨10.1007/s11229-012-0069-z⟩. ⟨hal-01186149⟩
162 View
534 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More