Paul Painlevé and his contribution to science
type: Item
instance of: scholarly article
title: Paul Painlevé and his contribution to science
zbMATH Open document ID: 1333.01025
DOI: 10.1134/S1560354714010018
author: A. V. Borisov
author: Nikolai A. Kudryashov
published in: Regular and Chaotic Dynamics
publication date: 2015-11-10T00:00:00Z
review text: The paper mainly describes mathematical achievements of the great French mathematician and politician Paul Painlevé. After some brief biographical remarks in Chapter 1, the following chapters are outlined: 2. The Painlevé equations. 3. The Painlevé property, branching of solutions and nonexistence of first integrals. 4. Algebraic nonintegrability of the \(N\)-body problem. 5. Some remarkable observations in mechanics. 6. Dynamics of systems with friction and paradoxes. 7. The axioms of mechanics. 8. Painlevé's hypothesis and collisionless singularities. 9. Transformation of dynamical equations and geodesic equivalent metrics. 10. Painlevé and gravitation. These chapters show Painlevé as an outstanding mathematician, who made also important contributions to physical topics like mechanics and general relativity. Finally, in Chapter 11, the authors give a short report on Painlevé's political activities between 1915 and 1933, as minister of different departments in different governments, several times as prime minister (in this position he played a leading role in the Rapallo conference convened by the Entente Powers in 1917) and as President of the Chamber of Deputies. The paper concludes with a list of scientific works by Paul Painlevé in a chronological order.
reviewed by: Horst-Heino von Borzeszkowski
Mathematics Subject Classification ID: 01A70
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 35-03
zbMATH DE Number: 6506687
zbMATH Keywords: Paul Painlevé
zbMATH Keywords: Painlevé equations
zbMATH Keywords: Painlevé property
zbMATH Keywords: singularities
zbMATH Keywords: dynamics of systems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6506687