Solving Polynomial Equation Systems I
The Kronecker-Duval Philosophy v. 1
By (author) Teo Mora
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Solving Polynomial Equation Systems I by Teo Mora
Book DescriptionPolynomial 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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Book DetailsISBN: 9780521811545
(234mm x 156mm x 29mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 27-Mar-2003
Country of Publication: United Kingdom
Books By Author Teo Mora
Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving, Hardback (August 2015)
This third volume of four describes all the most important techniques, mainly based on Grobner bases.
Solving Polynomial Equation Systems II, Hardback (May 2005)
The second volume of a comprehensive treatise. This part focuses on Buchberger theory and its application to the algorithmic view of commutative algebra.
Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond, Hardback (January 2000)» View all books by Teo Mora
Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Grobner bases.
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