Kniha Solving Polynomial Equation Systems I Teo Mora

Solving Polynomial Equation Systems I

The Kronecker-Duval Philosophy

Autor: Teo Mora
Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-18 dnů
5 304
Polynomial equations have been long studied, both theoretically and with a view to solving them. Unt...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2003
Stránek
438
EAN
9780521811545
ISBN
0521811546
Enbook ID
02044533
Hmotnost
747
Rozměry
162 x 242 x 29

Kompletní popis

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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