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  1. Home
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  3. Solving Polynomial Equation Systems I
  • Cited by 22
Publisher:
Cambridge University Press
Online publication date:
October 2009
Print publication year:
2003
Online ISBN:
9780511542831
DOI:
https://doi.org/10.1017/CBO9780511542831
Subjects:
Mathematics (general), Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Algebra
Series:
Encyclopedia of Mathematics and its Applications (88)
Information

Book description

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.

Reviews

‘This is an excellent book for readers interested in algebraic methods.‘

Source: European Mathematical Society Newsletter

‘The book [is] a thorough success …‘.

Source: Zentralblatt MATH

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