Giuseppe Veronese

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Giuseppe Veronese

Giuseppe Veronese (born May 7, 1854 in Chioggia near Venice , † July 17, 1917 in Padua ) was an Italian mathematician .

Veronese was born to poor parents - his father was a painter - in the fishing village of Chioggia and, thanks to the financial help of a patron, was able to attend the Polytechnic in Zurich , where he studied engineering and mathematics. While still in Zurich, he corresponded with Luigi Cremona in Rome and continued his studies there. Before he graduated, he published a work on Pascal's hexagram and in 1876 became an assistant for analytical geometry in Rome. In 1880 and 1881 he was with Felix Klein in Leipzig and in 1881 won a competition for the chair for algebraic geometry in Padua , which had become vacant after the death of his predecessor. He dealt with projective geometry in higher dimensions and developed the non-Archimedean geometry (1890), in which the Archimedean axiom does not apply. He also deals with this in its basic geometry . A dispute arose over this with Giuseppe Peano , who doubted the consistency of this geometry and criticized its lack of rigor. But the investigation of the axiomatic foundations of geometry by David Hilbert justified Veronese. Like other Italian mathematicians, he also went into politics, first in local politics, and from 1904 onwards he became a senator . Guido Castelnuovo and Tullio Levi-Civita are among his students . In 1908 he gave a plenary lecture at the International Congress of Mathematicians in Rome (La geometria non archimedea).

He also wrote several geometry textbooks for schools, which deal with the Euclidean subject matter with greater rigor.

literature

Fondamenti di geometria a piu dimensioni ea piu specie di unità rettilinee , 1891
  • Veronese: Fundamentals of the geometry of several dimensions and several types of rectilinear units, developed in elementary form. Teubner, Leipzig 1894, online
  • Nozioni elementari di geometria intuitiva , 2nd edition, Verona 1902 (textbook)
  • Elementi di geometria , 2 volumes, 3rd edition, Verona 1904 (textbook, with the assistance of P. Gazzaniga), online, edition 1900

Web links

Individual evidence

  1. ^ Felix Klein Elementary Mathematics from a Higher Viewpoint , Volume 2, Springer Verlag 1925, p. 247