Vito Volterra (3 May 1860 – 11 October 1940) was an Italian mathematician and physicist, known for his contributions to mathematical biology and integral equations, being one of the founders of functional analysis.
Born in Ancona, then part of the Papal States, into a very poor Jewish family, Volterra showed early promise in mathematics before attending the University of Pisa, where he fell under the influence of Enrico Betti, and where he became professor of rational mechanics in 1883. He immediately started work developing his theory of functionals which led to his interest and later contributions in integral and integro-differential equations. His work is summarised in his book Theory of functionals and of Integral and Integro-Differential Equations (1930).
In 1892, he became professor of mechanics at the University of Turin and then, in 1900, professor of mathematical physics at the University of Rome La Sapienza. Volterra had grown up during the final stages of the Risorgimento when the Papal States were finally annexed by Italy and, like his mentor Betti, he was an enthusiastic patriot, being named by the king Victor Emmanuel III as a senator of the Kingdom of Italy in 1905. In the same year, he began to develop the theory of dislocations in crystals that was later to become important in the understanding of the behaviour of ductile materials. On the outbreak of World War I, already well into his 50s, he joined the Italian Army and worked on the development of airships under Giulio Douhet. He originated the idea of using inert helium rather than flammable hydrogen and made use of his leadership abilities in organising its manufacture.
Volterra, known to the ancient Etruscans as Velathri, to the Romans as Volaterrae, is a town and comune in the Tuscany region of Italy.
The town was a Neolithic settlement and an important Etruscan center (Velathri or Felathri in Etruscan, Velàthre, Βελάθρη in Greek) with an original civilization. The site is believed to have been continuously inhabited as a city since at least the end of the 8th century BC. It became a municipium in the Roman Age. The city was a bishop's residence in the 5th century, and its episcopal power was affirmed during the 12th century.
With the decline of the episcopate, Volterra became a place of interest of the Florentines, whose forces conquered Volterra. Florentine rule was not always popular, and opposition occasionally broke into rebellion. These rebellions were put down by Florence.
When the Florentine Republic fell in 1530, Volterra came under the control of the Medici family and later followed the history of the Grand Duchy of Tuscany.
Volterra is a lunar crater that is located in the northern latitudes on the far side of the Moon. To the northeast is the crater Olivier, and to the south-southwest lies von Békésy. This is an eroded crater formation, particularly along the western side where the rim is more uneven. A small crater lies across the northeast rim edge. The interior floor is relatively level in the eastern half, while the west is marked by several remnants of small craterlets in the surface.
By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Volterra.
Volterra may refer to the following:
In mathematics: