Pierre De Fermat Essay - 873 Words

Pierre de Fermat Pierre de Fermat was born in the year 1601 in Beaumont-de-Lomages, France. Mr. Fermats education began in 1631. He was home schooled. Mr. Fermat was a single man through his life. Pierre de Fermat, like many mathematicians of the early 17th century, found solutions to the four major problems that created a form of math called calculus. Before Sir Isaac Newton was even born, Fermat found a method for finding the tangent to a curve. He tried different ways in math to improve the system. This was his occupation. Mr. Fermat was a good scholar, and amused himself by restoring the work of Apollonius on plane loci. Mr. Fermat published only a few papers in his lifetime and gave no systematic exposition of his methods. He had a†¦show more content†¦Fermats proof is as follows. Let n be prime, and suppose it is equal to x2 -y2 that is, to (x+y)(x-y). Now, by hypothesis, the only basic, integral factors of n and n and unity, hence x+y=n and x-y=1. Solving these equati ons we get x=1 /2 (n+1) and y=1 /2(n-1). -He gave a proof of the statement made by Diophantus that the sum of the squares of two numbers cannot be the form of 4n-1. He added a corollary which I take to mean that it is impossible that the product of a square and a prime form 4n-1[even if multiplied by a number that is prime to the latter], can be either a square or the sum of two squares. For example, 44 is a multiple of 11(which is of the form 4 x 3 - 1) by 4, therefore it cannot be expressed as the sum of two squares. He also stated that a number of the form a2 +b2, where a is prime b, cannot be divided by a prime of the form 4n-1. -Every prime of the form 4n+1 is accurate as the sum of two squares. This problem was first solved by Euler, who showed that a number of the form 2(4n+1) can be always showen as the sum of two squares, of course it was Mr. Pierre de Fermat. -If a, b, c, are integers, a2 + b2= c2, then ab cannot be a square. Lagrange solved this. - The determination of a number x such that x2n+1 may be squared, where n is a given integer which is not squared. Lagrange gave a solution of this also. -There is only one integral solution of the equation x2 +4=y3. The requiredShow MoreRelatedA Brief Biography of Pierre de Fermat641 Words   |  3 PagesPierre de Fermat Pierre de Fermat was born in 1601 â€Å"near Montauban†. He was born to a French leather merchant and was home-schooled. All of his free time was spent studying mathematics. He spent a good amount of time in his life arguing with Descartes which ended well and turned out to be â€Å"a friendly conclusion†. 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Scribbled as a marginal note by mathematician Pierre de Fermat, it accompanied a mathematical problem he had created and solved in 1637. While the note stated Fermat had proof of this conjecture, he died before sharing it. From this point on, the rest of world began trying to figure out the proof to Fermat’s Last Theorem, which took three hundred and fifty-eight