Skip to Main content Skip to Navigation
New interface
Journal articles

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.
Complete list of metadata

Cited literature [53 references]  Display  Hide  Download

https://hal.univ-reunion.fr/hal-01186149
Contributor : Nicolas Alarcon Connect in order to contact the contributor
Submitted on : Monday, April 13, 2020 - 5:26:22 PM
Last modification on : Thursday, October 27, 2022 - 4:03:51 AM

File

tournes_2012a_synthese_186.pdf
Publisher files allowed on an open archive

Licence


Distributed under a Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License

Identifiers

Citation

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⟩

Share

Metrics

Record views

137

Files downloads

300