Description: Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy: v. 1 (Encyclopedia of Mathematics and its Applications)Teo Mora Cambridge University Press Hardcover Unused and unread, minor cosmetic imperfections such as scuffing or minor creasing. Stamped 'damaged' by publisher to a non-text page. EAN: 9780521811545 Published 27/03/2003 Language: English 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. Preface Part I. The Kronecker-Duval Philosophy 1. Euclid 2. Intermezzo Chinese remainder theorems 3. Cardano 4. Intermezzo multiplicity of roots 5. Kronecker I Kronecker's philosophy 6. Intermezzo Sylvester 7. Galois I finite fields 8. Kronecker II Kronecker's model 9. Steinitz 10. Lagrange 11. Duval 12. Gauss 13. Sturm 14. Galois II Part II. Factorization 15. Ouverture 16. Kronecker III factorization 17. Berlekamp 18. Zassenhaus 19. Fermeture Bibliography Index. DispatchIn stock here - same-day dispatch from England. My SKU: 3259513RefundsNo-hassle refunds are always available if your book is not as expected.Terms and Conditions of SaleSorry - no collections. All sales are subject to extended Terms and Conditions of Sale as well as the Return Policy and Payment Instructions. Visit my eBay Store for details andmany more books. Template layout and design, "JNC Academic Books", "needbooks", Copyright © JNC INC. Designated trademarks, layouts and brands are the property of their respective owners. All Rights Reserved.
Price: 63.99 GBP
Location: Welwyn
End Time: 2024-12-03T03:51:10.000Z
Shipping Cost: 128.11 GBP
Product Images
Item Specifics
Return postage will be paid by: Buyer
Returns Accepted: Returns Accepted
After receiving the item, your buyer should cancel the purchase within: 30 days
Return policy details:
Title: Solving Polynomial Equation Systems I: The Kronecker-Duval Philos
ISBN: 0521811546
Pages: 438
Number of Pages: 438 Pages
Publication Name: Solving Polynomial Equation Systems I: the Kronecker-Duval Philosophy
Language: English
Publisher: Cambridge University Press
Item Height: 242 mm
Subject: Mathematics
Publication Year: 2003
Type: Textbook
Item Weight: 747 g
Author: Teo Mora
Item Width: 162 mm
Series: Encyclopedia of Mathematics and Its Applications
Format: Hardcover
