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Pierre de Fermat | Biography & Facts |

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Blaise Pascal, quoted in David, Gods, Games and Gambling, p. Pascal turned for help to Pierre de Fermat, a lawyer who was also a brilliant mathematician. Nothing in relation to the infinite, everything in relation to nothing, a mean the French aristocrat Antoine Gombaud, who had written Pascal for advice about the . Jean de Carcavi set his son up as a counsellor to the parliament of Toulouse in In fact he first met Pierre de Fermat in when they were both members of the he had already corresponded, and with Mersenne and the young Blaise Pascal. This did not stop the young couple, however, and in February they. probability, and it is unfortunate that the introductory letter from Pascal to Fermat is no longer extant. The one here translated, written in , appears in the Œuvres de Fermat (ed. Tannery and .. me your advice. I proposed If one he subtracted from the difference of the cubes of any two consecutive numbers, the result is.

Pierre de Carcavi ()

In Bordeaux he began his first serious mathematical researches and in he gave a copy of his restoration of Apollonius's De Locis Planis to one of the mathematicians there. He received a degree in civil law before, inreceiving the title of councillor at the High Court of Judicature in Toulouse, which he held for the rest of his life.

Due to the office he now held he became entitled to change his name from Pierre Fermat to Pierre de Fermat.

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Fluent in Latin, Basque, classical Greek, Italian, and Spanish, Fermat was praised for his written verse in several languages, and his advice was eagerly sought regarding the emendation of Greek texts. He communicated most of his work in letters to friends, often with little or no proof of his theorems. This allowed him to preserve his status as an "amateur" while gaining the recognition he desired.

Pierre de Fermat. - ppt download

This naturally led to priority disputes with contemporaries such as Descartes and Wallis. It is not known whether or not Fermat noticed that differentiation of xn, leading to nan - 1, is the inverse of integrating xn.

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Through ingenious transformations he handled problems involving more general algebraic curves, and he applied his analysis of infinitesimal quantities to a variety of other problems, including the calculation of centres of gravity and finding the lengths of curves. He also solved the related problem of finding the surface area of a segment of a paraboloid of revolution.

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Descartes had sought to justify the sine law through a premise that light travels more rapidly in the denser of the two media involved in the refraction. Twenty years later Fermat noted that this appeared to be in conflict with the view espoused by Aristotelians that nature always chooses the shortest path. Through the mathematician and theologian Marin Mersennewho, as a friend of Descartes, often acted as an intermediary with other scholars, Fermat in maintained a controversy with Descartes on the validity of their respective methods for tangents to curves.

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In he had enjoyed an exchange of letters with his fellow mathematician Blaise Pascal on problems in probability concerning games of chance, the results of which were extended and published by Huygens in his De Ratiociniis in Ludo Aleae Work on theory of numbers Fermat vainly sought to persuade Pascal to join him in research in number theory.

Inspired by an edition in of the Arithmetic of Diophantusthe Greek mathematician of the 3rd century ad, Fermat had discovered new results in the so-called higher arithmetic, many of which concerned properties of prime numbers those positive integers that have no factors other than 1 and themselves.

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InKing Louis XIV granted Pascal a patent for his odd device but it failed to effect much change over the next 45 years. Pascal, by the way, would contribute more than a mechanical calculator to this tale.

Blaise Pascal Biography

He proved that vacuums exist; that one could measure pressure by inverting a tube of mercury; and in figuring out how others could beat the house at gambling, ended up inventing probability theory.

Leibniz used something called a stepped drum, a cylinder with a number of cogs carved into it, and gears that would engage a different number of cogs depending on their position. It was incredibly complex, which is why very few were ever built. Inside a Pascaline or a Leibniz box were two simple elements needed to create the modern computer: Project Expressif you build it, they will comeinvention of the telegraphIsaac NewtonJohn Nash: He had been puzzled by the following dice problem.

Which is more likely: Gombaud believed the two events would occur equally often but could not prove it. He wrote to his mathematician friend Blaise Pascal, asking if this was indeed the case.

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