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Carl Runge

Carl David Tolmé Runge (German: [ˈʁʊŋə]; 30 August 1856 – 3 January 1927) was a German mathematician, physicist, and spectroscopist.

Carl Runge

(1856-08-30)30 August 1856

Bremen, German Confederation

3 January 1927(1927-01-03) (aged 70)

Göttingen, Weimar Republic

German

Berlin University

Runge–Kutta method
Runge's phenomenon
Runge's theorem
Laplace–Runge–Lenz vector
Schumann–Runge bands

Mathematics
Physics

Leibniz University Hannover (1886–1904)
University of Göttingen (1904–1925)

Karl Weierstrass
Ernst Kummer

Max Born
Friedrich Adolf Willers
Hermann König

He was co-developer and co-eponym of the Runge–Kutta method (German pronunciation: [ˈʀʊŋə ˈkʊta]), in the field of what is today known as numerical analysis.

Honors[edit]

The crater Runge on the Moon is named after him. The Schumann–Runge bands of molecular oxygen are named after him and Victor Schumann.

Runge's law

for Diophantine equations.

Runge's method

(PhD dissertation, Friese, 1880)

Ueber die Krümmung, Torsion und geodätische Krümmung der auf einer Fläche gezogenen Curven

Praxis der Gleichungen

Praxis der Gleichungen, zweite, verbesserte Auflage

(B.G. Teubner, Leipzig, 1908)[3]

Analytische Geometrie der Ebene

(Columbia University Press, New York, 1912)

Graphical methods; a course of lectures delivered in Columbia university, New York, October, 1909, to January, 1910

[4]

Vektoranalysis

Vector Analysis

Carl Runge und Hermann König: (Springer, Heidelberg, 1924)

Vorlesungen über numerisches Rechnen

Paschen F (1929). . Astrophysical Journal. 69: 317–321. Bibcode:1929ApJ....69..317P. doi:10.1086/143192.

"Carl Runge"

: Carl Runge und sein wissenschaftliches Werk, Vandenhoeck & Ruprecht, Göttingen 1949.

Iris Runge

O'Connor, John J.; , "Carl David Tolmé Runge", MacTutor History of Mathematics Archive, University of St Andrews

Robertson, Edmund F.

Biography

at the Mathematics Genealogy Project

Carl Runge