Opere Matematiche

work by Beltrami

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July 1, 2026

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Opere Matematiche is a posthumously published four-volume work by Italian mathematician Eugenio Beltrami. It contains his writings on a wide range of mathematical and physical subjects, including thermodynamics, elasticity, magnetism, optics, and electricity.1

Beltrami is best known for his contributions to non-Euclidean geometry and for his theories on surfaces of constant curvature. His work helped to solidify the understanding and acceptance of non-Euclidean geometry, which had been explored by mathematicians like Lobachevsky and Bolyai. Beltrami's rigorous descriptions of these new geometries, particularly his work on surfaces of constant negative curvature, were instrumental in demonstrating their mathematical validity.12

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Eugenio Beltrami
Beltrami’s four-volume work, Opere Matematiche (1902–20), published posthumously, contains his comments on a broad range of physical and mathematical subjects, including thermodynamics, elasticity, magnetism, optics, and electricity. Beltrami was a member of the scientific Accademia dei Lincei, serving as president in 1898; he was elected to the Italian
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Beltrami’s four-volume work, Opere Matematiche (1902–20), published posthumously, contains his comments on a broad range of physical and mathematical subjects, including thermodynamics, elasticity, magnetism, optics, and electricity. Beltrami was a member of the scientific Accademia dei Lincei, serving as president in 1898; he was elected to the Italian
Read More