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Solving Polynomial Equation Systems I

Name: Solving Polynomial Equation Systems I
Brand: Cambridge University Press
SKU: 02044533
Price: 90533 HUF
Availability: InStock
Author: Teo Mora
ISBN: 9780521811545

The Kronecker-Duval Philosophy

Teo Mora

Language

English

Book Hardback

Libristo code: 02044533

Publishers Cambridge University Press, March 2003

Polynomial equations have been long studied, both theoretically and with a view to solving them. Unt... Full description

Libristo code: 02044533

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90 533 Ft

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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.