Mathematician:Jean-Gaston Darboux

Mathematician

French mathematician who contributed to to geometry and mathematical analysis.

Did considerable important work on linear partial differential equations.

Nationality

French

History

• Born: 14 Aug 1842 in Nimes, Gard, Languedoc, France
• 1866: Received Ph.D. from the École Normale Supérieure
• 1884: Elected to the Académie des Sciences
• 1900: Appointed the Academy's permanent secretary of its Mathematics section
• Died: 23 Feb 1917 in Paris, France

Theorems and Definitions

• Darboux Equation
• Darboux Frame
• Darboux Function
• Darboux Integral
• Darboux Net Invariants
• Darboux Problem
• Darboux's Theorem (Symplectic Geometry)
• Darboux's Theorem (Analysis), related to Intermediate Value Theorem
• Christoffel-Darboux Identity (with Elwin Bruno Christoffel)
• Christoffel-Darboux Formula (with Elwin Bruno Christoffel)
• Darboux's Formula
• Darboux Vector
• Euler-Darboux Equation (with Leonhard Paul Euler)
• Euler-Poisson-Darboux Equation (with Leonhard Paul Euler and Siméon-Denis Poisson)
• Darboux Cubic
• Darboux Problem (also known as a Goursat Problem for Édouard Jean-Baptiste Goursat)
• Darboux Transformation

Results named for Jean-Gaston Darboux can be found here.

Definitions of concepts named for Jean-Gaston Darboux can be found here.

Publications

• 1866: Sur les Surfaces Orthogonales
• 1896: Leçons sur la Théorie Général des Surfaces et les Applications Géométriques du Calcul Infinitésimal (4 volumes)

Sources

• John J. O'Connor and Edmund F. Robertson: "Jean-Gaston Darboux": MacTutor History of Mathematics archive

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Darboux's theorem
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Darboux's theorem