Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy - Couverture rigide

Livre 82 sur 188: Encyclopedia of Mathematics and its Applications

Mora, Teo

 
9780521811545: Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy
Couverture rigide
ISBN 10 : 0521811546 ISBN 13 : 9780521811545
Editeur : Cambridge University Press, 2003

Synopsis

Polynomial equations have been long studied, both theoretically and with a view to solving them. Until recently, manual computation was the only solution method and the theory was developed to accommodate it. With the advent of computers, the situation changed dramatically. Many classical results can be more usefully recast within a different framework which in turn lends itself to further theoretical development tuned to computation. This first book in a trilogy is devoted to the new approach. It is a handbook covering the classical theory of finding roots of a univariate polynomial, emphasising computational aspects, especially the representation and manipulation of algebraic numbers, enlarged by more recent representations like the Duval Model and the Thom Codification. Mora aims to show that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials.

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Présentation de l'éditeur

Polynomial equations have been long studied, both theoretically and with a view to solving them. Until recently, manual computation was the only solution method and the theory was developed to accommodate it. With the advent of computers, the situation changed dramatically. Many classical results can be more usefully recast within a different framework which in turn lends itself to further theoretical development tuned to computation. This first book in a trilogy is devoted to the new approach. It is a handbook covering the classical theory of finding roots of a univariate polynomial, emphasising computational aspects, especially the representation and manipulation of algebraic numbers, enlarged by more recent representations like the Duval Model and the Thom Codification. Mora aims to show that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials.

Revue de presse

'This is an excellent book for readers interested in algebraic methods.' European Mathematical Society Newsletter

'The book [is] a thorough success ...'. Zentralblatt MATH

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2003
Langue
anglais
ISBN 10 
0521811546
ISBN 13 
9780521811545
Reliure
Relié
Nombre de pages
438
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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France