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7 de dic. de 2018 · The first published proof that the harmonic series 1+12+13+14+⋯ exceeds any given quantity was given by Pietro Mengoli in 1650 [9]. The same result had been proved by Nicole Oresme in Question 2 of...
KEY WORDS: Mengoli, 17th century, Diophantine equations 1. INTRODUCTION Pietro Mengoli (1625-1686) studied in Bologna with Bonaventura Cavalieri, whom he succeeded in the chair of mathematics. He took a degree in philosophy in 1650 and another in both civil and canon law in 1653, and he was in addition
Pietro Mengoli (1625--1686) --- Historical Sketch. Finding the sum of the infinite series. is not, offhand, an easy task. The subject of this historical sketch, Pietro Mengoli, showed that it is . He also showed, about 350 years ago, that the sum of the alternating harmonic series is equal to In addition to his work with infinite sums, he also ...
Pietro Mengoli (Bologna, 1626. - Bologna, 1686.) olasz matematikus. Életútja Novae quadraturae arithmeticae, 1650. A Bolognai Egyetemen tanult Bonaventura Cavalierivel együtt. 1647-ben őt váltotta a professzori székben és ezt a posztot élete hátra lévő részében (39 év) be is töltötte.
Pietro Mengoli (1626–1686) Born in 1626, Pietro Mengoli studied with the Jesuat mathematician Bonaventura Cavalieri at the University of Bologna, and became his successor following his death in 1647. He held a number of chairs at the university during the course of his life, including those of arithmetic, mechanics, and mathematics. Mengoli ...
1 de feb. de 1994 · HM 21 PIETRO MENGOLI 15 In this context, the six-square problem therefore appears as a particular case of De Billy's Question 75. 2. OZANAM'S SOLUTION Ozanam published his method for solving the six-square problem several times [Leibniz 1990, 230] and also, in a very brief version, in [Ozanam 1691, 90-91].
Pietro Mengoli (1626/7–86), a pupil of Cavalieri, considered the use of symbolic language and algebraic procedures essential for solving all kinds of problems.
