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Pietro Mengoli

Index Pietro Mengoli

Pietro Mengoli (1626, Bologna – June 7, 1686, Bologna) was an Italian mathematician and clergyman from Bologna, where he studied with Bonaventura Cavalieri at the University of Bologna, and succeeded him in 1647. [1]

17 relations: Basel problem, Bologna, Bonaventura Cavalieri, Bounded function, Diophantine equation, Harmonic series (mathematics), Historia Mathematica, Italy, Jacques de Billy, Jacques Ozanam, Leonhard Euler, Limit of a sequence, Mathematician, Natural logarithm of 2, Pythagorean triple, University of Bologna, Wallis product.

Basel problem

The Basel problem is a problem in mathematical analysis with relevance to number theory, first posed by Pietro Mengoli in 1644 and solved by Leonhard Euler in 1734 and read on 5 December 1735 in ''The Saint Petersburg Academy of Sciences''.

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Bologna

Bologna (Bulåggna; Bononia) is the capital and largest city of the Emilia-Romagna Region in Northern Italy.

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Bonaventura Cavalieri

Bonaventura Francesco Cavalieri (Cavalerius; 1598 – 30 November 1647) was an Italian mathematician and a Jesuate.

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Bounded function

In mathematics, a function f defined on some set X with real or complex values is called bounded, if the set of its values is bounded.

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Diophantine equation

In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied (an integer solution is a solution such that all the unknowns take integer values).

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Harmonic series (mathematics)

In mathematics, the harmonic series is the divergent infinite series: Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are,,, etc., of the string's fundamental wavelength.

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Historia Mathematica

Historia Mathematica: International Journal of History of Mathematics is an academic journal on the history of mathematics published by Elsevier.

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Italy

Italy (Italia), officially the Italian Republic (Repubblica Italiana), is a sovereign state in Europe.

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Jacques de Billy

Jacques de Billy (March 18, 1602 – January 14, 1679) was a French Jesuit mathematician.

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Jacques Ozanam

Jacques Ozanam (16 June 1640, in Sainte-Olive, Ain – 3 April 1718, in Paris) was a French mathematician.

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Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

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Limit of a sequence

As the positive integer n becomes larger and larger, the value n\cdot \sin\bigg(\frac1\bigg) becomes arbitrarily close to 1.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Natural logarithm of 2

The decimal value of the natural logarithm of 2 is approximately as shown in the first line of the table below.

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Pythagorean triple

A Pythagorean triple consists of three positive integers,, and, such that.

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University of Bologna

The University of Bologna (Università di Bologna, UNIBO), founded in 1088, is the oldest university in continuous operation, as well as one of the leading academic institutions in Italy and Europe.

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Wallis product

In mathematics, Wallis' product for pi, written down in 1655 by John Wallis, states that \prod_^ \left(\frac \cdot \frac\right).

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References

[1] https://en.wikipedia.org/wiki/Pietro_Mengoli

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