Eugenio Beltrami

Italian mathematician / From Wikipedia, the free encyclopedia

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Eugenio Beltrami (16 November 1835 18 February 1900) was an Italian mathematician notable for his work concerning differential geometry and mathematical physics. His work was noted especially for clarity of exposition. He was the first to prove consistency of non-Euclidean geometry by modeling it on a surface of constant curvature, the pseudosphere, and in the interior of an n-dimensional unit sphere, the so-called Beltrami–Klein model. He also developed singular value decomposition for matrices, which has been subsequently rediscovered several times. Beltrami's use of differential calculus for problems of mathematical physics indirectly influenced development of tensor calculus by Gregorio Ricci-Curbastro and Tullio Levi-Civita.

Quick facts: Eugenio Beltrami, Born, Died, Nationality, Al...
Eugenio Beltrami
Eugenio Beltrami
Born(1835-11-16)16 November 1835
Died18 February 1900(1900-02-18) (aged 64)
Alma materGhislieri College, Pavia (no degree)
Known forBeltrami equation
Beltrami identity
Beltrami's theorem
Laplace–Beltrami operator
Beltrami vector field
Beltrami–Klein model
Scientific career
InstitutionsUniversity of Bologna
University of Pisa
University of Rome
University of Pavia
Academic advisorsFrancesco Brioschi
Doctoral studentsGiovanni Frattini

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