Gerhard Hessenberg Explained

Gerhard Hessenberg
Birth Date:16 August 1874
Birth Place:Frankfurt
Death Place:Berlin
Nationality:German
Fields:Mathematics
Workplaces:University of Breslau
Alma Mater:University of Berlin
Thesis Title:Über die Invarianten linearer und quadratischer binärer Differentialformen und ihre Anwendung auf die Deformation der Flächen
Thesis Year:1899
Doctoral Advisor:Hermann Schwarz
Lazarus Fuchs
Known For:Hessenberg sum and product

Gerhard Hessenberg (pronounced as /de/; 16 August 1874 – 16 November 1925) was a German mathematician who worked in projective geometry, differential geometry, and set theory.

Career

Hessenberg received his Ph.D. from the University of Berlin in 1899 under the guidance of Hermann Schwarz and Lazarus Fuchs.

His name is usually associated with projective geometry, where he is known for proving that Desargues' theorem is a consequence of Pappus's hexagon theorem,[1] and differential geometry where he is known for introducing the concept of a connection.[2] [3] He was also a set theorist: the Hessenberg sum and product of ordinals are named after him. However, Hessenberg matrices are named for Karl Hessenberg, a near relative.

In 1908 Gerhard Hessenberg was an Invited Speaker of the International Congress of Mathematicians in Rome.[4]

Publications

Notes and References

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  3. http://scienceworld.wolfram.com/biography/Hessenberg.html Hessenberg, Gerhard (1874-1925)
  4. Book: Hessenberg, G.. Zaehlen und Anschauung. 377–379. 3. Atti del IV Congresso internazionale dei matematici (Roma, 6–11 Aprile 1908). https://babel.hathitrust.org/cgi/pt?id=iau.31858027749682;view=1up;seq=399.
  5. Allen, Edward Switzer. Review: Grundlagen der Geometrie, by Gerhard Hessenberg, ed. by W. Schwan; Vorlesungen über Grundlagen der Geometrie, by Kurt Reidemeister. Bull. Amer. Math. Soc.. 1931. 37. 11. 798–802. 10.1090/S0002-9904-1931-05254-X. free.
  6. Gronwall, T. H.. Thomas Hakon Grönwall. Review: Transzendenz von e und π. Ein Beitrag zur höheren Mathematik vom elementaren Standpunkte aus, by Gerhard Hessenberg. Bull. Amer. Math. Soc.. 1914. 20. 8. 421–422. 10.1090/s0002-9904-1914-02517-0. free.