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 Cubic
• Darboux Equation
• Darboux Frame
• Darboux Function

• Darboux Integral
  • Upper Darboux Integral (also known as Upper Integral)
  • Lower Darboux Integral (also known as Lower Integral)

• Darboux Net Invariants
• Darboux Problem (also known as a Goursat Problem for Édouard Jean-Baptiste Goursat)

• Darboux Sum:
  • Upper Darboux Sum (also known as Upper Riemann Sum, for Georg Friedrich Bernhard Riemann, or Upper Sum)
  • Lower Darboux Sum (also known as Lower Riemann Sum, for Georg Friedrich Bernhard Riemann, or Lower Sum)

• Darboux Transformation
• Darboux Vector

• Darboux's Formula

• Darboux's Theorem
• 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)

• Euler-Darboux Equation (with Leonhard Paul Euler)
• Euler-Poisson-Darboux Equation (with Leonhard Paul Euler and Siméon-Denis Poisson)

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