LIFE OF FERMAT LIFE: • Fermat was born, most probably in November 1607, inBeaumont-de-Lomagne(present-dayTarn-et-Garonne), France. • Fermat's father was a wealthy merchant in wheat and cattle and was three times for one year one of the four consuls of Beaumont-de-Lomagne. • Fermathad a brother and two sisters.

LIFE OF FERMAT School life: There is little evidence concerning his school education. • He wenttoCollege de Navarrein Montauban. • He attended theUniversity of Orleans from 1623.

LIFE OF FERMAT Work life: lawyer and anamateurmathematician • He received a bachelor in civil law in 1626. • Aftermoving to Bordeaux, he began his first serious mathematical researches and in 1629 he gave a copy of his restoration ofApollonius’s De LocisPlanisto one of the mathematicians there. • In 1630 he bought the office of a councillor at theParlementdeToulouse.

LIFE OF FERMAT Work life: • Fermat's pioneering work in analytic geometry was circulated in manuscript form in 1636. (This manuscript was published posthumously in 1679 in "Varia opera mathematica", as Ad Locos Planos et SolidosIsagoge, ("Introduction to Plane and Solid Loci"))

LIFE OF FERMAT Work life: • Fermatdeveloped a methodfordeterminingmaxima, minima, andtangentstovariouscurvesthatwasequivalenttodifferentiation. Intheseworks, heobtained a technique for finding the centers of gravity of various plane and solid figures.

LIFE OF FERMAT Work life: • Fermat was the first person known to have evaluated the integral of general power functions. Using an ingenious trick, he was able to reduce this evaluation to the sum ofgeometricseries. (The resulting formula was helpful to Newton, and thenLeibniz, when they independently developed thefundamentaltheorem of calculus.)

LIFE OF FERMAT Work life: • Fermat studiedPell’sequation, perfectnumbers, amicablenumbers and what would later becomeFermatnumberswhen he researchedperfect numbers that he discoveredthelittletheorem.

LIFE OF FERMAT Work life: • He invented a factorization methot (Fermat’sfactorizationmethod) as well as the proof technique of infinitedescent, which he used to prove Fermat's Last Theorem for the case n = 4. • Fermat developed thetwosquaretheorem,and thepolygonalnumbertheorem-which states that each number is a sum of threetriangularnumbes, foursquarenumbers, fivepentagonalnumbers,and so on- • Moreover Fermat claimed to have proved all his arithmetic theorems, few records of his proofs have survived.

LIFE OF FERMAT Work life: LastTheorem Holographicwillhandwritten by Fermat on 4 March 1660 — kept at the Departmental Archives ofHaute-Garonne, in Toulouse.

LIFE OF FERMAT Work life: LastTheorem • His famousLastTheoremwas first discovered by his son in the margin on his father's copy of an edition of Diophantus, and included the statement that the margin was too small to include the proof. He had not bothered to inform evenMarinMersenne of it. It was not proved until 1994 bySir Andrew Wiles, using techniques unavailable to Fermat.

LIFE OF FERMAT Death: • Pierre de Fermatcaughttheplagueanddied at Castres, Tarn (12 January1665).

LIFE OF FERMAT Place of burial of Pierre de Fermat in Place Jean Jaurés, Castres, France. Translation of the plaque: in this place was buried on January 13, 1665, Pierre de Fermat, councilor of the chamber of Edit [Parlement of Toulouse] and mathematician of great renown, celebrated for his theorem,an + bn ≠ cn for n>2

THANK YOU FOR YOUR ATTENTION PINAR KEÇECI

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