Mathematician:Eugenio Beltrami

Mathematician
Italian mathematician notable for his work concerning differential geometry and mathematical physics.

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.

Developed singular value decomposition for matrices, which has been subsequently rediscovered several times.

His use of differential calculus for problems of mathematical physics indirectly influenced development of tensor calculus by and.

Nationality
Italian

History

 * Born: 16 November 1835 in Cremona, Lombardy, Austrian Empire (now Italy)
 * Died: 18 February 1900 in Rome, Italy

Theorems and Definitions

 * Beltrami-Klein Model (with ) (also known as the Cayley-Klein Model, with, the Klein Model or the Klein Disk Model)
 * Beltrami Equation
 * Beltrami Identity
 * Beltrami's Theorem
 * Laplace-Beltrami Operator (with )
 * Beltrami Vector Field

Publications





 * 1902 -- 1920: Opere matematiche di Eugenio Beltrami pubblicate per cura della Facoltà di scienze della r. Università di Roma (4 volumes)