Georg Zehfuss

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Johann Georg Zehfuss , known as Georg Zehfuss (also written Zehfuss ) (born April 10, 1832 in Bessungen , † May 5, 1901 in Frankfurt am Main ) was a German mathematician and physicist .

Life

Zehfuss' parents were the court chamber registrar Johann Heinrich Zehfuss and Susanne Magdalene Noack. On July 11, 1861, Zehfuss married Louise Stein. The couple had two children, Immanuel Gustav Heinrich Julius Wilhelm, born on August 20, 1862 in Reval (now Tallinn, Estonia) and Cornelia Charlotte Marie Auguste Mathilde Victoria, born on September 16, 1864 in Darmstadt.

Zehfuss attended the Darmstadt trade school from 1847 to 1850, which he finished with the final examination. From 1850 to 1853 he studied at the Philosophical Faculty of the University of Giessen with the conclusion of the grammar school teacher examination and the degree of doctor. From 1853 to 1858 Zehfuss taught mathematics and mechanics at the Darmstadt trade school as a provisional teacher. In 1857 he received his habilitation in mathematics and physics at the University of Heidelberg, with a thesis that was evaluated by Professors Otto Hesse (1811–1874) in mathematics and Gustav Kirchhoff (1824–1887) in physics. O. Hesse inspired Zehfuss to write his early work on determinant theory, which Zehfuss published in 1858. The determinant theory remained one of the main subjects of his mathematical work.

As a private lecturer, Zehfuss taught arithmetic, algebra and geometry, differential calculus, theory of definite integrals, elliptic functions, theory of higher equations, analytical geometry of planes and space, analytical mechanics and field measurement at the University of Heidelberg from his habilitation until 1861.

From September 26, 1860 to 1863, Georg Zehfuss was senior teacher for mathematics and physics at the Knight and Cathedral School in Reval . On January 9, 1863, Zehfuss was appointed professor of higher mathematics at the Riga Polytechnic.

In 1864 G. Zehfuss went to Frankfurt a. M. back, where he first worked as a teacher and later as director at the Frankfurt Trade School founded in 1827. He taught there, among other things, algebraic analysis, trigonometry, theory of higher equations, analytical geometry of the plane, mechanics, differential and integral calculus and analytical geometry of space.

Although teaching mathematics and physics for future engineers was the main activity of Zehfuss - both at the Darmstadt trade school as well as at the Reval cathedral school and at the Frankfurt am Main trade school - he had a number of publications in scientific journals until his death and worked out in book format.

Works

  • Some points about the determination of the constants that are included in the integration of the finite difference equations, Archiv der Mathematik und Physik XXVII (1856), pp. 12-29.
  • Treatise on some mathematical subjects , inaugural writing, Philosophical Faculty University of Heidelberg, Buchdruckerei Heinrich Brill Darmstadt 1857, 14 p. Note: This short publication deals with four different topics, which could also be referred to as individual works: On the resolution of the congruence ax  b , mod (m n p ...). About Lagrange's reversion formula. Determination of the integral I = ∫_0 ^ (+ ∞) ▒cos⁡ax / ((1 + x ^ 2)) dx. Theoretical formula for the maxima of the elasticity of the water vapors at different temperatures.
  • Textbook of arithmetic , Ernst Korn, Oppenheim am Rhein 1857, 144 pp.
  • A new mathematical paradox, Archive of Mathematics and Physics XXX (1858) p. 229.
  • On the resolution of the linear finite difference equations with variable coefficients, Zeitschrift für Mathematik und Physik 3 (1858), pp. 175–177.
  • On the theory of diffraction phenomena of light, Archive of Mathematics and Physics XXX (1858), pp. 92-104.
  • Simple derivation of the Gaussian expression for Γ (µ), Archiv der Mathematik und Physik XXX (1858) p. 441.
  • Various sentences and results, Archive of Mathematics and Physics XXX (1858), pp. 465–466. Note: This short work contains three different topics, which are cited independently of one another in the table of contents of the journal Für Mathematik und Physik 4 (1859) and which could also be referred to as individual works:
  • About a certain integral, Archiv der Mathematik und Physik XXX (1858), p. 465.
  • An analogue for the Taylor series, Archiv der Mathematik und Physik XXX (1858), p. 466.
  • Decomposition of a number into four even squares, Archiv der Mathematik und Physik XXX (1858), p. 466.
  • Mathematische Miscellen, Zeitschrift für Mathematik und Physik 3 (1858), pp. 247–249. Comment: A short paper dealing with four different topics; they are sometimes cited individually, and could also be referred to as individual works:
  • About a series that is interesting in terms of number theory, Zeitschrift für Mathematik und Physik 3 (1858), p. 247.
  • Summing up some infinite series, Zeitschrift für Mathematik und Physik 3 (1858), pp. 247–248.
  • A sentence on differential equations, Zeitschrift für Mathematik und Physik 3 (1858), p. 248.
  • Exercises and theorems, Zeitschrift für Mathematik und Physik 3 (1858), pp. 248–249.
  • About the signs of the individual members of a determinant, Zeitschrift für Mathematik und Physik 3 (1858), pp. 249-250.
  • About a certain determinant, Zeitschrift für Mathematik und Physik 3 (1858) pp. 298–301.
  • Commentary on Richard Baltzer's book Theory and Applications of Determinants with Relation to the Original Sources , Kritische Zeitschrift für Chemie, Physik und Mathematik (1858), pp. 354–363.
  • About certain integrals, exercises, Zeitschrift für Mathematik und Physik 4 (1859), pp. 465–469.
  • Déduction simple de l'Expression Γ (x) de Gauss, Nouvelles annales de mathématiques (1859) série 1, tome 18, p. 356.
  • Sur le sens géométriques de quantités imaginaires, Archive of Mathematics and Physics XXXII (1859), pp. 234–236.
  • Resolutio congruentiarum primi gradus per formulas novas, Archive of Mathematics and Physics XXXII (1859), pp. 422–424. Note: Extension of Part I of the inaugural dissertation.
  • About confocale ellipsoids, Journal for Mathematics and Physics 4 (1859) p. 166.
  • About the determinant Qp =  ± (a0 + b0) p (a1 + b1) p… (an + bn) p, Zeitschrift für Mathematik und Physik 4 (1859), pp. 233–236.
  • The basics of algebra , Korn, Oppenheim 1860, 200 pp.
  • About the Cartesian theorem regarding the number of positive and negative roots of an equation, Archiv der Mathematik und Physik XXXIV (1860), pp. 400–404.
  • About certain integrals, Archive of Mathematics and Physics XXXIV (1860), pp. 486–488.
  • About a return of certain integrals between the limits 0 and  to others between the same limits, Archiv der Mathematik und Physik XXXIV (1860), pp. 486–488.
  • About the strength of a circular plate soldered to the edge, Zeitschrift für Mathematik und Physik 5 (1860), pp. 14-24.
  • About a certain mathematical principle, magazine for mathematics and physics 5th year (1860), pp. 210–215.
  • on making the denominators of fractions rational, Archive of Mathematics and Physics XXXV (1861), pp. 117–118.
  • About a mechanical effect of the electrical spark, Annalen der Physik und Chemie 193 (1862), pp. 487-502.
  • Two sentences on determinants, Zeitschrift für Mathematik und Physik 7 (1862), pp. 436–439.
  • Application of a special determinant, Zeitschrift für Mathematik und Physik 7 (1862), pp. 439-445.
  • Simple derivation of two definite integrals, Zeitschrift für Mathematik und Physik 7 (1862), pp. 445–447. Note: Extension of Part III of the inaugural dissertation.
  • About simultaneous dilatations of an isotropic body in different directions, Zeitschrift für Mathematik und Physik 8 (1863) pp. 127-133.
  • Contributions to the theory of static electricity , program of the higher industrial school in Frankfurt a. M. (1865), 40 pp.
  • About an extension of the concept of determinants . Hermann'sche Buchhandlung, Frankfurt a. M. (1868), 8 pp.
  • Exposé des principes élémentaires de la théorie des déterminants à l'usage des élèves de mathématiques spéciales, Nouvelles annales de mathématiques (1868) Tome 7, pp. 403–413 and Nouvelles annales de mathématiques (1869) Tome 8, pp. 97–113 .
  • The cosmic significance of the aerolites, especially in relation to the sun, the ice ages and the magnetism of the heavenly bodies , program of the higher industrial school in Frankfurt a. M. (1869) pp. 3-15.
  • The pneumatic canalisation illuminates with consideration for health care, agriculture and economy . I. Department, F. Boselli'sche Buchhandlung, Frankfurt a. M. 1869.
  • The most important things about theory and results of spectral analysis , program of the higher vocational school in Frankfurt a. M. (1870).
  • About a connection between diameter and mass in celestial bodies , program of the higher trade school in Frankfurt a. M. (1871).
  • About the mass and flattening of the heavenly bodies , Frankfurt a. M. 1871, 18 pp.
  • Physical theory of the northern lights , Jaeger'sche book, paper and map collection, Adelmann Frankfurt a. M. (1872), 40 p. Belongs to the Easter program of the schools of the Polytechnic Society. Director of the higher trade school in Frankfurt a. M. same subject.
  • About movement replicas , Annals of Physics and Chemistry Volume 245 (1880), pp. 672-676.

literature

Web links

Wikisource: Georg Zehfuss  - Sources and full texts

Individual evidence

  1. ↑ Walter Strobl: Georg Zehfuss: His life and his works.
personal data
SURNAME Zehfuss, Georg
ALTERNATIVE NAMES Zehfuss, Johann Georg (full name); Zehfuß, Georg
BRIEF DESCRIPTION German mathematician and physicist
DATE OF BIRTH April 10, 1832
PLACE OF BIRTH Qualifications
DATE OF DEATH May 5, 1901
Place of death Frankfurt am Main