ENGLISH

Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy

By Teo Mora

Book information

Publisher
Cambridge University Press
Year
2003
ISBN
0521811546, 9780521811545
Language
english
Format
PDF
Filesize
21 MB (21910884 bytes)
Series
Encyclopedia of Mathematics and its Applications
Edition
1
Pages
438\436
Time added
2013-12-22 01:36:24

Description

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.

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