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Pierre de Fermat (/ f ɜːr ˈ m ɑː /; [2] French: [pjɛʁ də fɛʁma]; 17 August 1601 [a] – 12 January 1665) was a French mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality.
Fermat's factorization method, named after Pierre de Fermat, is based on the representation of an odd integer as the difference of two squares: N = a 2 − b 2 . {\displaystyle N=a^{2}-b^{2}.} That difference is algebraically factorable as ( a + b ) ( a − b ) {\displaystyle (a+b)(a-b)} ; if neither factor equals one, it is a proper ...
Adequality is a technique developed by Pierre de Fermat in his treatise Methodus ad disquirendam maximam et minimam [1] (a Latin treatise circulated in France c. 1636 ) to calculate maxima and minima of functions, tangents to curves, area, center of mass, least action, and other problems in calculus.
De Witte's treatment is more original than that description might suggest, although limited to two dimensions; it uses calculus of variations to show that Huygens' construction and Fermat's principle lead to the same differential equation for the ray path, and that in the case of Fermat's principle, the converse holds. De Witte also noted that ...
The works of the 17th-century mathematician Pierre de Fermat engendered many theorems. Fermat's theorem may refer to one of the following theorems: Fermat's Last Theorem, about integer solutions to a n + b n = c n; Fermat's little theorem, a property of prime numbers; Fermat's theorem on sums of two squares, about primes expressible as a sum of ...
In projective space the Fermat cubic is given by w 3 + x 3 + y 3 + z 3 = 0. {\displaystyle w^{3}+x^{3}+y^{3}+z^{3}=0.} The 27 lines lying on the Fermat cubic are easy to describe explicitly: they are the 9 lines of the form ( w : aw : y : by ) where a and b are fixed numbers with cube −1, and their 18 conjugates under permutations of coordinates.
Barner, Klaus (2001), "Pierre de Fermat (1601?-1665): His life besides mathematics" in the Newsletter of the European Mathematical Society No. 42, December 2001, pages 12-16. EMS Newsletter December 2001 (PDF). I would also not oppose, qualifying our date in some way, to acknowledge the traditional birth date, and indicate some uncertainty.
This is a list of things named after Pierre de Fermat, a French amateur mathematician. This list is incomplete; you can help by adding missing items.