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

DOI10.1007/s11229-012-0069-zzbMath1274.01035OpenAlexW2044747879MaRDI QIDQ375282

Dominique Tournès

Publication date: 29 October 2013

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: https://hal.univ-reunion.fr/hal-01186149/file/tournes_2012a_synthese_186.pdf

zbMATH Keywords

diagramdifferential equationintegral curvegeometric intuitiongraphical integrationqualitative integrationtractional motionvisual thinking

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of mathematics in the 19th century (01A55) History of ordinary differential equations (34-03)

Related Items (2)

Alfred Clebsch's ``geometrical clothing of the theory of the quintic equation ⋮ Figures real, imagined, and missing in Poncelet, Plücker, and Gergonne

Cites Work

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• The ``essential tension at work in qualitative analysis: A case study of the opposite points of view of Poincaré and Enriques on the relationships between analysis and geometry
• Poincaré's discovery of homoclinic points
• The graphical integration of ordinary differential equations
• The differential analyzer. A new machine for solving differential equations
• Ensuring Generality in Euclid’s Diagrammatic Arguments
• Tractional Motion and the Legitimation of Transcendental Curves
• Epistemology of Visual Thinking in Elementary Real Analysis
• Visualization in Logic and Mathematics

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