Mathematician:Pietro Mengoli

Italian mathematician who spent most of his working life as a professor at the University of Bologna.

Also ordained into the Priesthood.

Occupies the philosophical transitional ground between the work of and that of  and.

Nationality
Italian

History

 * Born: 1626, Bologna, Italy
 * 1648: Appointed Professor of Arithmetic at the University of Bologna
 * 1649: Appointed Professor of Mechanics at the University of Bologna
 * 1650: Awarded a doctorate in philosophy by the University of Bologna
 * 1653: Awarded a doctorate in civil and canon law by the University of Bologna
 * 1660: Appointed a priest in the parish of Santa Maria Maddelena in Bologna
 * 1668: Appointed Professor of Mathematics at the University of Bologna
 * Died: 1686, Bologna, Italy

Theorems and Definitions

 * Posed the Basel Problem in 1644
 * Proved that the sum of the alternating harmonic series is equal to the natural logarithm of $2$ in 1650
 * Rediscovered the proof that the Sum of Reciprocals is Divergent

Books and Papers

 * 1650: Novae quadraturae arithmeticae, seu de additione fractionum
 * 1659: Geometriae speciosae elementa
 * 1670: Speculazioni musicali
 * 1672: Circolo