Solving Polynomial Equation Systems I - The Kronecker-Duval Philosophy (Hardcover)

With the advent of computers, theoretical studies and solution methods for polynomial equations have 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, emphasizing 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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Encyclopedia of Mathematics and its Applications
Release date:	March 2003
First published:	2003
Authors:	Teo Mora
Dimensions:	242 x 162 x 29mm (L x W x T)
Format:	Hardcover
Pages:	438
ISBN-13:	978-0-521-81154-5
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General
LSN:	0-521-81154-6
Barcode:	9780521811545

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