Gerhard Hessenberg

Gerhard Hessenberg
Born	16 August 1874 Frankfurt
Died	16 November 1925 (aged 51) Berlin
Nationality	German
Fields	Mathematics
Institutions	University of Breslau
Alma mater	University of Berlin
Doctoral advisor	Hermann Schwarz Lazarus Fuchs
Doctoral students	Edwin Feyer Moritz Finzi Frank Löbell
Known for	Hessenberg sum and product

Gerhard Hessenberg (Frankfurt, 16 August 1874 – Berlin, 16 November 1925) was a German mathematician. He 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.

Publications

• Ebene und sphärische Trigonometrie ((several editions) ed.). Berlin: de Gruyter.
• "Grundbegriffe der Mengenlehre". Abhandlungen der Friesschen Schule. Neue Folge. 1: 478–706. (also in book form as a separate publication from Verlag Vandenhoeck und Ruprecht, Göttingen 1906).
• Grundlagen der Geometrie (2nd ed.). Berlin: de Gruyter. 1967.1st ed. Leipzig: B. G. Teubner. 1930.^[4]
• Transzendenz von e und π. Ein Beitrag zur höheren Mathematik vom elementaren Standpunkte aus. New York. 1965. (unaltered reprint of the Teubner edition of 1912).^[5]
• Vom Sinn der Zahlen. Tübingen/ Leipzig. 1922.

Notes

1. "Hessenberg's Work in Projective Geometry" at www.cirm.univ-mrs.fr
2. Hessenberg, Gerhard (1917), "Vektorielle Begründung der Differentialgeometrie", Mathematische Annalen (in German), 78 (1): 187–217, doi:10.1007/bf01457097.
3. Hessenberg, Gerhard (1874-1925) from Eric Weisstein's World of Scientific Biography
4. Allen, Edward Switzer (1931). "Review: Grundlagen der Geometrie, by Gerhard Hessenberg, ed. by W. Schwan; Vorlesungen über Grundlagen der Geometrie, by Kurt Reidemeister". Bull. Amer. Math. Soc. 37 (11): 798–802. doi:10.1090/S0002-9904-1931-05254-X.
5. Gronwall, T. H. (1914). "Review: Transzendenz von e und π. Ein Beitrag zur höheren Mathematik vom elementaren Standpunkte aus, by Gerhard Hessenberg". Bull. Amer. Math. Soc. 20 (8): 421–422. doi:10.1090/s0002-9904-1914-02517-0.

External links

• Gerhard Hessenberg at the Mathematics Genealogy Project