Mathematician:Carl David Tolmé Runge

Mathematican
German mathematician, physicist, and spectroscopist.

Best known as the co-developer (with ) of the Runge-Kutta Methods in the field of numerical analysis.

Also known for his work on the Zeeman effect.

His work paved the way for the Thue-Siegel-Roth Theorem in the field of Diophantine equations. His daughter Nerina married.

Nationality
Anglo-German

History

 * Born: 30 August 1856 in Bremen, Germany
 * Died: 3 January 1927 in Göttingen, Germany

Theorems and Definitions

 * Runge-Kutta Methods (with ), including:
 * Second-Order Runge-Kutta Formula
 * Classical Runge-Kutta Method
 * Runge's Phenomenon
 * Runge's Method for Diophantine Equations
 * Laplace-Runge-Lenz Vector (with and )
 * Runge's Theorem

Books and Papers

 * 1880: Ueber die Krümmung, Torsion und geodätische Krümmung der auf einer Fläche gezogenen Curven
 * 1908: Analytische Geometrie der Ebene
 * 1912: Graphical methods (course of lectures delivered in Columbia university, New York, October, 1909, to January, 1910)
 * 1924: Vorlesungen über numerisches Rechnen (with )
 * 1928: Graphische Methoden (Teubner, 1928)