Étienne Bezout

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Bezout, Étienne


Born Mar. 31, 1730, in Nemours; died Sept. 27, 1783, in Basses-Loges, near Fontainebleau. French mathematician. Member of the Parisian Academy of Sciences (1758).

Bezout’s main works are concerned with advanced algebra—the study of the properties of systems of algebraic equations of higher degrees and the exclusion of unknowns in such systems.


Théorie générale des équations algébraiques. Paris, 1779.


Wieleitner, H. Istoriia matematiki ot Dekarta do serediny XIX stoletiia. Moscow, 1960. (Translated from German.)
References in periodicals archive ?
By Bezout we have deg(B) [less than or equal to] 8 with equality if and only if dim(T) = 2 and B = T.
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In m-homogeneous theory the powerful connection of probability-one homotopy methods for polynomials with the field of algebraic geometry is reestablished (see Drexler [1979]) with the generalization of the classical theorem of Bezout.
f] is dominated by the growth of f by the Bezout estimate; when n = 1, the above statement is true again by the Nevanlinna inequality.
The number 2n is known as the Bezout number, named after the French mathematician Etienne Bezout (1730-1783).
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