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Evangelista Torricelli




Evangelista Torricelli ( October 15 , 1608 - October 25 , 1647 ) was an Italian Physicist and Mathematician .

Born in Rome , Torricelli soon moved to Faenza , then part of the Papal States . He was left fatherless at an early age. He was educated under the care of his uncle, a Camaldolese monk, who in 1627 sent him to Rome to study science under the Benedictine Benedetto Castelli ( 1577 - 1644 ), professor of Mathematics at the Collegio Della Sapienza in Pisa . Torricelli died a few days after having contracted Typhoid Fever .

The Asteroid (7437) Torricelli was named in his honor.


TORRICELLI'S WORK IN PHYSICS


After Galileo's death Torricelli was nominated grand-ducal mathematician and professor of mathematics in the Florentine Academy . The discovery of the principle of the Barometer which has perpetuated his fame ("Torricellian tube", "Torricellian vacuum") was made in 1643 . The Torr , a unit of Pressure is named after him, as well as a non-SI unit for pressure 'Torr' (=mmHg)


TORRICELLI'S WORK IN MATHEMATICS


Torricelli is also famous for the discovery of an infinitely long solid now called '' Gabriel's Horn '', whose surface area is Infinite , but whose volume is finite. This was seen as an "incredible" paradox by many at the time (including Torricelli himself, who tried several alternative proofs), and prompted a fierce controversy about the nature of infinity, involving the philosopher Hobbes . It is supposed by some to have led to the idea of a "completed infinity".

Torricelli was also a pioneer in the area of infinite series. In his ''De dimensione parabolae'' of 1644, Toricelli considered a decreasing sequence of
positive terms a_0, a_1, a_2 \cdots and showed the corresponding
Telescoping Series (a_0-a_1) + (a_1-a_2) + \cdots necessarily converges to a_0-L, where ''L'' is the limit of the sequence, and in this way gives a proof of the formula for the sum of a geometric series.


SEE ALSO



REFERENCES


  • Weil, AndrĂ©, ''Prehistory of the Zeta-Function'', in Number Theory, Trace Formulas and Discrete Groups, Aubert, Bombieri and Goldfeld, eds., Academic Press, 1989

  • de Gandt, ''l'oeuvre de Torricelli,''ed Les Belles Lettres,1987,ISBN 2-252-62032-X



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