It is a matter for considerable regret that Fermat, who cultivated the theory of numbers with so much success, did not leave us with the proofs of the theorems he discovered. In truth, Messrs Euler and Lagrange, who have not disdained this kind of research, have proved most of these theorems, and have even substituted extensive theories for the isolated propositions of Fermat. But there are several proofs which have resisted their efforts.
Adrien-Marie LegendreTags: science theories effort research regret proof scientist fermat lagrange leonhard-euler joseph-louis-lagrange number-theory pierre-de-fermat theorems
Foreshadowings of the principles and even of the language of [the infinitesimal] calculus can be found in the writings of Napier, Kepler, Cavalieri, Fermat, Wallis, and Barrow. It was Newton's good luck to come at a time when everything was ripe for the discovery, and his ability enabled him to construct almost at once a complete calculus.
W.W. Rouse BallTags: science history scientists discovery isaac-newton newton mathematics calculus fermat johannes-kepler kepler barrow pierre-de-fermat cavalieri infinitesimal napier wallis
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