| Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy Contributor(s): Mora, Teo (Author) |
|
 |
ISBN: 0521811546 ISBN-13: 9780521811545 Publisher: Cambridge University Press OUR PRICE: $215.65 Product Type: Hardcover - Other Formats Published: March 2003 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Elementary - Medical |
| Dewey: 512.94 |
| LCCN: 2001043132 |
| Series: Encyclopedia of Mathematics and Its Applications |
| Physical Information: 1.1" H x 6.3" W x 9.2" (1.60 lbs) 438 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |