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Carl David Tolmé Runge

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Citizenship
  
German

Role
  
Mathematician

Fields
  
Mathematics Physics

Residence
  
Germany


Alma mater
  
Berlin University

Children
  
Wilhelm Runge

Name
  
Carl Tolme

Carl David Tolme Runge httpsuploadwikimediaorgwikipediacommons33

Born
  
30 August 1856 Bremen, German Confederation (
1856-08-30
)

Institutions
  
University of Hanover (1886–1904) Georg-August University of Gottingen (1904–1925)

Doctoral advisor
  
Karl Weierstrass Ernst Kummer

Doctoral students
  
Max Born Friedrich Adolf Willers Hermann Konig

Died
  
January 3, 1927, Gottingen, Germany

Education
  
Ludwig Maximilian University of Munich, Humboldt University of Berlin

Similar People
  
Karl Weierstrass, Heinrich Kayser, Max Born, Ernst Kummer, Joseph Larmor

Parents
  
Julius Runge, Fanny Tolme

Carl david tolm runge


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

Contents

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.

Biography

He spent the first few years of his life in Havana, where his father Julius Runge was the Danish consul. The family later moved to Bremen, where his father died early (in 1864).

In 1880, he received his Ph.D. in mathematics at Berlin, where he studied under Karl Weierstrass. In 1886, he became a professor at the Technische Hochschule Hannover in Hanover, Germany.

His interests included mathematics, spectroscopy, geodesy, and astrophysics. In addition to pure mathematics, he did experimental work studying spectral lines of various elements (together with Heinrich Kayser), and was very interested in the application of this work to astronomical spectroscopy.

In 1904, on the initiative of Felix Klein he received a call to the Georg-August University of Göttingen, which he accepted. There he remained until his retirement in 1925.

Family

His daughter Iris also became a mathematician and his son Wilhelm was an early developer of radar. Another of his daughters, Nerina (Nina), married the mathematician Richard Courant.

Honors

The crater Runge on the Moon is named after him.

Works

  • Ueber die Krümmung, Torsion und geodätische Krümmung der auf einer Fläche gezogenen Curven (PhD dissertation, Friese, 1880)
  • Analytische Geometrie der Ebene (B.G. Teubner, Leipzig, 1908)
  • Graphical methods; a course of lectures delivered in Columbia university, New York, October, 1909, to January, 1910 (Columbia University Press, New York, 1912)
  • Carl Runge und Hermann König Vorlesungen über numerisches Rechnen (Springer, Heidelberg, 1924)
  • Graphische Methoden (Teubner, 1928)
  • Vector Analysis (Goettingen, 1919)
  • References

    Carl David Tolmé Runge Wikipedia