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Solving Polynomial Equation Systems I

Solving Polynomial Equation Systems I

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 88

Medical ReferenceAlgebra

ISBN10: 0521811546
ISBN13: 9780521811545
Publisher: Cambridge University Press
Published: Mar 27 2003
Pages: 438
Weight: 1.60
Height: 1.10 Width: 6.30 Depth: 9.20
Language: English
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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Algebra