Edward Routh

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Edward J. Routh.

Edward John Routh (born January 20, 1831 in Quebec , Canada , † June 7, 1907 in Cambridge , England ) was a British mathematician and natural philosopher .

Live and act

Routh was the son of a British officer. He came to England from Canada with his father in 1842 and, from 1847 onwards, attended University College in London on a scholarship , where he studied with Augustus de Morgan , among others . After graduating with a bachelor's degree in 1849, he went to Peterhouse College and obtained his master’s degree in 1853, and also won a gold medal for his achievements in mathematics and theoretical physics. In 1854 he received another bachelor's degree from Cambridge University , where he also finished first ( Senior Wrangler ) in the Tripos exams ( James Clerk Maxwell came second, both of whom had trained William Hopkins as tutor). He also received the Smith Prize with Maxwell . In 1855 he became a fellow of the Peterhouse , where he also became a tutor. From 1856 he was a busy private tutor at Cambridge, preparing students for the Tripos exams. The Senior Wrangler was out of class every year from 1862 to 1884, and in the 30 years he taught there were 480 Wranglers out of a total of 900 Wranglers out of 700 students. Routh retired in 1888.

In 1864 he married the eldest daughter of the astronomer Royal George Biddell Airy , with whom he had five sons and a daughter.

He was mainly concerned with mathematical physics and, together with Maxwell and Adolf Hurwitz, contributed fundamental knowledge in stability theory , which is used in control engineering as the Routh-Hurwitz criterion .

In triangular geometry, Routh's theorem is named after him, which he described in his book Treatise on Analytical Statics with Numerous Examples in 1891 . However, this was not the first publication of this result, as it had already been mentioned in Solutions of the Cambridge Senate-house Problems and Riders for the Year 1878 by James Whitbread Lee Glaisher. In the theory of rough impact (physics), Routh introduced a graphic representation of the functional dependence of the normal impact on the frictional impact during the impact time interval (Routh diagram) - a diagram that was later expanded by Gerd Brunk and Karl-Eugen Kurrer .

He became a member of the Royal Society in 1872 and the Royal Astronomical Society in 1866 and was one of the founding members of the London Mathematical Society in 1856 . Routh has received multiple honorary doctorates. In 1883 he became an honorary fellow of Peterhouse College. In 1877 he received the Adams Prize for an essay on stability theory.

Works (excerpt)

  • Analytical View of Sir Isaac Newton's Principia , London 1855, Archives
  • An elementary treatise on the dynamics of a system of rigid bodies , 1860, 3rd edition Macmillan 1877, Archive
  • A Treatise on the Stability of a Given State of Motion, Particularly Steady Motion ... , Macmillan 1877, Archive
  • A treatise on analytic statics , 2 volumes, Cambridge UP 1891, 1892, Archives, Volume 1 , Volume 2
  • A treatise on the dynamics of a particle , New York: Stechert 1898, Archive
  • The dynamics of rigid body systems . Volume 1: The Elements; Leipzig, BG Teubner, 1898. Archives
  • The dynamics of rigid body systems . Volume 2: The Higher Dynamic; Leipzig, BG Teubner, 1898. Archives

Web links

References

  1. ↑ Wrangler had top grades in the last part ( Part Two ) of the written Tripos exams. The best of the Wranglers was First Wrangler , the second Second Wrangler , etc.
  2. ^ Edward John Routh: A treatise on analytical statics: with numerous examples . Cambridge University Press, 1891, p. 89 ( online copy )
  3. ↑ James Whitbread Lee Glaisher: Solutions of the Cambridge Senate-house Problems and Riders for the Year 1878 . MacMillan, 1879, p. 33 ( online copy )
  4. ↑ Edward Routh: The Dynamics of Rigid Body Systems . Volume 1: The Elements; Leipzig, BG Teubner, 1898, p. 172ff. Archives
  5. ↑ Gerd Brunk: Energetic discussion of the theory of the friction shock according to Routh . In: Journal for Applied Mathematics and Mechanics, 55th year (1975), pp. T50-T52.
  6. ↑ Karl-Eugen Kurrer: For the representation of the energy transformation in the case of a plane coupled friction impact with the help of the energy devaluation diagram . In: Cassius Alexandru, Günter Gödert, Uwe Görn, Roland Parchem, Joachim Villwock (eds.): Contributions to mechanics. Festschrift for the 65th birthday of Prof. Dr. Rudolf Trostel . University Library of the TU Berlin, Publication Department, Berlin 1993, pp. 148–169, ISBN 3-7983-1581-7 .
personal data
SURNAME Routh, Edward
ALTERNATIVE NAMES Routh, Edward John
BRIEF DESCRIPTION English mathematician
DATE OF BIRTH January 20, 1831
PLACE OF BIRTH Quebec , Canada
DATE OF DEATH June 7, 1907
Place of death Cambridge , England