TY  - BOOK
AU  -  Mora,Teo
TI  - Solving Polynomial Equation Systems: The Kronecker-Duval Philosophy [ electronic resource ] 
SN  -  9780511542831 ( e-book )
U1  - 512.9422 21
PY  - 2009///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Computer Science
KW  -  Computer Algebra
KW  -   Computational Geometry
KW  - Recreational Mathematics
KW  -  Mathematics
KW  - Electronic books
N2  - 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.
UR  - https://doi.org/10.1017/CBO9780511542831
ER  -