Étienne Bézout
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Étienne Bézout (; 31 March 1730 – 27 September 1783) was a French
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
who was born in
Nemours Nemours () is a commune in the Seine-et-Marne department in the Île-de-France region in north-central France. Geography Nemours is located on the Loing and its canal, c. south of Melun, on the Moret–Lyon railway. Nemours – Saint-Pierre ...
,
Seine-et-Marne Seine-et-Marne () is a Departments of France, department in the ÃŽle-de-France Regions of France, region in Northern France. Named after the rivers Seine and Marne (river), Marne, it is the region's largest department with an area of 5,915 square ...
,
France France (), officially the French Republic ( ), is a country primarily located in Western Europe. It also comprises of Overseas France, overseas regions and territories in the Americas and the Atlantic Ocean, Atlantic, Pacific Ocean, Pac ...
, and died in Avon (near Fontainebleau), France.


Work

In 1758 Bézout was elected an adjoint in mechanics of the
French Academy of Sciences The French Academy of Sciences (French: ''Académie des sciences'') is a learned society, founded in 1666 by Louis XIV of France, Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French Scientific me ...
. Besides numerous minor works, he wrote a ''Théorie générale des équations algébriques'', published at
Paris Paris () is the capital and most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), making it the 30th most densely populated city in the world in 2020. S ...
in 1779, which in particular contained much new and valuable matter on the theory of elimination and symmetrical functions of the roots of an equation: he used
determinant In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It characterizes some properties of the matrix and the linear map represented by the matrix. In particular, the determinant is nonzero if and ...
s in a paper in the ''Histoire de l'académie royale'', 1764, but did not treat the general theory.


Publications

*


Legacy

After his death, a statue was erected in his birth town, Nemours, to commemorate his achievements. In 2000, the
minor planet According to the International Astronomical Union (IAU), a minor planet is an astronomical object in direct orbit around the Sun that is exclusively classified as neither a planet nor a comet. Before 2006, the IAU officially used the term ''minor ...
17285 Bezout was named after him.


See also

* Little Bézout's theorem *
Bézout's theorem Bézout's theorem is a statement in algebraic geometry concerning the number of common zeros of polynomials in indeterminates. In its original form the theorem states that ''in general'' the number of common zeros equals the product of the deg ...
*
Bézout's identity In mathematics, Bézout's identity (also called Bézout's lemma), named after Étienne Bézout, is the following theorem: Here the greatest common divisor of and is taken to be . The integers and are called Bézout coefficients for ; they ...
*
Bézout matrix In mathematics, a Bézout matrix (or Bézoutian or Bezoutiant) is a special square matrix associated with two polynomials, introduced by and and named after Étienne Bézout. Bézoutian may also refer to the determinant of this matrix, which is ...
*
Bézout domain In mathematics, a Bézout domain is a form of a Prüfer domain. It is an integral domain in which the sum of two principal ideals is again a principal ideal. This means that for every pair of elements a Bézout identity holds, and that every fini ...


References

*''The original version of this article was taken from the
public domain The public domain (PD) consists of all the creative work A creative work is a manifestation of creative effort including fine artwork (sculpture, paintings, drawing, sketching, performance art), dance, writing (literature), filmmaking, ...
Rouse History of Mathematics Rouse may refer to: Places * Rouse, California, United States, a census-designated place * Rouse, Wisconsin, United States, an unincorporated community * Rouses Point, New York, United States, a village * Rouse Islands, Antarctica * Cape Rouse, An ...
'' *


External links

* * 1730 births 1783 deaths People from Nemours 18th-century French mathematicians Algebraists Number theorists Members of the French Academy of Sciences Burials in ÃŽle-de-France {{France-mathematician-stub