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Gerhard Hessenberg

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Nationality
  
German

Role
  
Mathematician

Fields
  
Mathematics

Alma mater
  
University of Berlin

Name
  
Gerhard Hessenberg


Born
  
16 August 1874 Frankfurt (
1874-08-16
)

Known for
  
Hessenberg sum and product

Died
  
November 16, 1925, Berlin, Germany

Education
  
Humboldt University of Berlin

Doctoral advisor
  
Hermann Schwarz, Lazarus Fuchs

Doctoral students
  
Edwin Feyer, Frank Lobell

Institutions
  
University of Breslau

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, and differential geometry where he is known for introducing the concept of a connection. 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. 
  • 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).
  • Vom Sinn der Zahlen. Tübingen/ Leipzig. 1922. 
  • References

    Gerhard Hessenberg Wikipedia