WorldCat Identities

Bézout, Etienne 1730-1783

Overview
Works: 303 works in 1,034 publications in 4 languages and 4,151 library holdings
Genres: Textbooks 
Roles: Author, Other, csn, Honoree
Publication Timeline
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Most widely held works by Etienne Bézout
General theory of algebraic equations by Etienne Bézout( )

33 editions published between 1779 and 2009 in 3 languages and held by 1,914 WorldCat member libraries worldwide

This book provides the first English translation of Bezout's masterpiece, the General Theory of Algebraic Equations. It follows, by almost two hundred years, the English translation of his famous mathematics textbooks. Here, Bézout presents his approach to solving systems of polynomial equations in several variables and in great detail. He introduces the revolutionary notion of the "polynomial multiplier," which greatly simplifies the problem of variable elimination by reducing it to a system of linear equations. The major result presented in this work, now known as "Bézout's theorem," is stated as follows: "The degree of the final equation resulting from an arbitrary number of complete equations containing the same number of unknowns and with arbitrary degrees is equal to the product of the exponents of the degrees of these equations." The book offers large numbers of results and insights about conditions for polynomials to share a common factor, or to share a common root. It also provides a state-of-the-art analysis of the theories of integration and differentiation of functions in the late eighteenth century, as well as one of the first uses of determinants to solve systems of linear equations. Polynomial multiplier methods have become, today, one of the most promising approaches to solving complex systems of polynomial equations or inequalities, and this translation offers a valuable historic perspective on this active research field
Cours de mathématiques, a l'usage des gardes du pavillon et de la marine by Etienne Bézout( Book )

153 editions published between 1764 and 1991 in French and held by 310 WorldCat member libraries worldwide

An elementary treatise on plane and spherical trigonometry, and on the application of algebra to geometry : from the mathematics of Lacroix and Bézout by S. F Lacroix( )

17 editions published between 1820 and 1837 in English and Undetermined and held by 284 WorldCat member libraries worldwide

Cours de mathématiques, a l'usage du corps de l'artillerie by Etienne Bézout( Book )

53 editions published between 1752 and 1799 in French and held by 281 WorldCat member libraries worldwide

Cours de mathématiques, à l'usage de la marine et de l'artillerie by Etienne Bézout( Book )

73 editions published between 1767 and 2014 in 3 languages and held by 137 WorldCat member libraries worldwide

Obra adaptada por la Universidad Royal. Donacion : Biblioteca de Zea
First principles of the differential and integral calculus, or, the doctrines of fluxions : intended as an introduction to the physico-mathematical sciences by Etienne Bézout( Book )

15 editions published between 1824 and 2015 in English and held by 132 WorldCat member libraries worldwide

Traité d'arithmétique, a l'usage de la marine et de l'artillerie by Etienne Bézout( Book )

41 editions published between 1806 and 1854 in French and held by 88 WorldCat member libraries worldwide

Traité de navigation by Etienne Bézout( Book )

17 editions published between 1781 and 1814 in French and held by 49 WorldCat member libraries worldwide

Cours de mathématiques : a l'usage de la marine et de l'artillerie by Etienne Bézout( Book )

26 editions published between 1775 and 1837 in French and held by 48 WorldCat member libraries worldwide

Cours de mathématiques, à l'usage du Corps Royal de l'Artillerie by Etienne Bézout( Book )

30 editions published between 1772 and 1809 in French and held by 38 WorldCat member libraries worldwide

The Elements of arithmetic by Etienne Bézout( Book )

4 editions published in 1824 in English and held by 34 WorldCat member libraries worldwide

Cours de mathématiques, a l'usage des Gardes du Pavillon et de la Marine by Etienne Bézout( Book )

29 editions published between 1768 and 2015 in French and Undetermined and held by 33 WorldCat member libraries worldwide

Suite du cours de mathématiques : à l'usage des gardes du pavillon et de la marine, contenant le Traité de navigation by Etienne Bézout( Book )

18 editions published between 1769 and 1794 in French and held by 30 WorldCat member libraries worldwide

Arithmétique de Bezout, a' l'usage de le marine et de l'artillerie by Etienne Bézout( )

10 editions published between 1814 and 1833 in French and held by 26 WorldCat member libraries worldwide

Cours de mathématiques, a l'usage des Gardes du Pavillon et de la Marine by Etienne Bézout( Book )

20 editions published between 1787 and 1822 in French and held by 22 WorldCat member libraries worldwide

Mémoire sur les quantités différencielles : qui n'étant point intégrables par elles-mêmes, le deviennent néanmoins quand on leur joint des quantités de même forme qu'elles by Etienne Bézout( Book )

3 editions published between 1760 and 1976 in French and held by 20 WorldCat member libraries worldwide

Suite du cours de mathématiques : a l'usage des gardes du pavillon et de la marine : contenant le traité de navigation by Etienne Bézout( Book )

11 editions published between 1769 and 1775 in French and held by 20 WorldCat member libraries worldwide

Cours de mathématiques : a l'usage du corps de lʹartillerie /par Bézout by Etienne Bézout( Book )

14 editions published between 1770 and 2017 in French and held by 19 WorldCat member libraries worldwide

 
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General theory of algebraic equations
Covers
Alternative Names
Bézout.

Bézout 1730-1783 M.

Bezout, E.

Bézout, E. 1730-1783

Bézout, E. (Etienne), 1730-1783.

Bézout, Esteban 1730-1783

Bézout Étienne

Bezout, Etienne 1730-1783

Bézout, M. 1730-1783

Bézout, M. (Etienne), 1730-1783

Bezu.

Étienne Bézout francuski matematyk

Étienne Bézout Frans wiskundige

Étienne Bézout fransk matematikar

Étienne Bézout fransk matematiker

Étienne Bézout französischer Mathematiker

Étienne Bézout French mathematician

Étienne Bézout matemàtic francès

Étienne Bézout matematician francez

Étienne Bézout matemático francés

Étienne Bézout matematico francese

Étienne Bézout mathématicien français

Етьєн Безу

Етјен Безу

Этьенн Безу

Этьенн Безу французский математик

Эцьен Безу

Էտյեն Բեզու

اتین بزو ریاضی‌دان فرانسوی

إيتيين بوزو

إيتيين بوزو رياضياتي فرنسي

ეტიენ ბეზუ

에티엔 베주

エティエンヌ・ベズー フランス王国の数学者

艾蒂安·贝祖

Languages
French (519)

English (55)

German (9)

Spanish (1)