Format:
1 Online-Ressource (xiii, 423 pages)
,
digital, PDF file(s).
ISBN:
9780511542831
Series Statement:
Encyclopedia of mathematics and its applications 88
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 31 May 2016)
Additional Edition:
ISBN 9780521811545
Additional Edition:
ISBN 9780521811545
Additional Edition:
Erscheint auch als Mora, Teo Solving polynomial equation systems ; 1: The Kronecker-Duval philosophy Cambridge : Cambridge University Press, 2003 ISBN 0521811546
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521811545
Language:
English
Subjects:
Mathematics
DOI:
10.1017/CBO9780511542831
