Pietro Mengoli ( Italian: Pietro Mengoli , 1626 - 1686) - Italian mathematician , Catholic priest (since 1660). He made a significant contribution to the development of analytical ideas, in particular, was close to a rigorous justification of the concepts of limit and area . He worked a lot and fruitfully on the problems of convergence and summation of infinite series .
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Content
Biography and scientific activities
Born in Bologna in the family of a wealthy citizen Simon Mengoli. In Bologna, the scientist spent most of his life. He graduated from the University of Bologna at Cavalieri . After the death of Cavalieri (1647) he was succeeded at the department of mathematics and remained there for 39 years, until the end of his life.
Mengoli first began to deeply and in a fairly general form explore infinite series (previously mathematicians considered mainly geometric progression ). He formulated theorems on the limit of the sum and the product of convergent series . He proved the divergence of the harmonic series . The first to investigate a series of inverse squares and an alternating harmonic series:
Mengoli proved (1650) that this series converges to
Major works
- New arithmetic quadratures, or on the addition of fractions ( Geometriae speciosae elementa ), Bologna, 1659.
- Speculationi di Musica , Bologna, 1670.
- Circolo , Bologna, 1672.
- Arithmeticae rationalis elementa quator , Bologna, 1674.
- Arithmetica realis, serenissimo et reverendissimo principi Leopoldo ab Etrvria cardinali Medices dicata a Petro Mengolo , Bologna, 1675.
Literature
- Bogolyubov A.N. Mengoli Pietro // Mathematics. The mechanics. Biographical reference . - Kiev: Naukova Dumka, 1983 .-- 639 p.
- Borodin A.I. Mengoli Pietro // Biographical Dictionary of Figures in the Field of Mathematics. Kiev, Radyanska school, 1979.
- Mengoli Pietro. Mathematical Encyclopedic Dictionary. M., Sov. Encyclopedia, 1988.
Links
- Ma Rosa Massa Esteve. Algebra and geometry in Pietro Mengoli (1625β1686) .
- John J. O'Connor and Edmund F. Robertson . Mengoli, Pietro (Eng.) - biography in the MacTutor archive.
Notes
- β 1 2 BNF identifier : Open Data Platform 2011.
- β 1 2 Archive for the history of mathematics MacTyutor
- β 1 2 National Library Network of Italy - 1985.
- β Swartz A. Open Library - 2005.