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Gabriele Manfredi

Gabriele Manfredi
Gabriele Manfredi.jpg
Born (1681-03-25)25 March 1681
Bologna, Papal States
Died 13 October 1761(1761-10-13) (aged 80)
Bologna, Papal States
Nationality Bolognese
Occupation Mathematician
Known for Theory of first-order differential equations

Gabriele Manfredi (25 March 1681 – 13 October 1761) was an Italian mathematician who undertook important work in the field of calculus.

Gabriele Manfredi was born in Bologna, then in the Papal States, on 25 March 1681. He was the son of Alfonso Manfredi, a notary from Lugo, Emilia-Romagna, and Anna Maria Fiorini. His elder brother Eustachio studied law, then turned to science. Gabriele and his brother Eraclito studied medicine, while his fourth brother Emilio became a Jesuit preacher. His two sisters Maddalena and Teresa were also well educated, and later collaborated with their brothers in their work. Gabriele became uncomfortable with the study of anatomy, and turned to other subjects before he and Eustachio were introduced to the new subject of differential calculus.

Manfredi was one of a group of young men at the University who became interested in the techniques of Cartesian geometry and differential calculus, and who engaged in experiments and astronomical observation. Others were his brother Eustachio, Vittorio Francesco Stancari and Giuseppe Verzaglia. Of these, Gabriele Manfredi developed the most advanced understanding of mathematics. Eustachio Manfredi became more interested in astronomy, but Gabriele persisted with mathematics, studying the works of Leibniz and of Johann and Jacob Bernoulli on infinitesimal calculus.

After graduating, Gabriele went to Rome at the end of 1702, where he became librarian to Cardinal Pietro Ottoboni, a historian, antiquarian and astronomer. He helped Ottoboni build a sundial at Santa Maria degli Angeli e dei Martiri and helped in the work of reforming the Gregorian calendar. He continued to study mathematics, including differential and integral calculus and logarithmic curves. In 1707 he returned to Bologna where he published his best known work on first-order differential equations. This was the first European work on differential equations. Despite this, he was not given a senior position in the university. He made further contributions to the theory of calculus, although his main contribution after 1715 was as a teacher.


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