Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving - Couverture rigide

Livre 159 sur 188: Encyclopedia of Mathematics and its Applications

Mora, Teo

 
9780521811552: Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving
Couverture rigide
ISBN 10 : 0521811554 ISBN 13 : 9780521811552
Editeur : Cambridge University Press, 2015

Synopsis

This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni–Kalkbrener Theorem, Stetter Algorithm, Cardinal–Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bézout to Cayley. This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Teo Mora is a Professor of Algebra in the Department of Mathematics at the University of Genoa.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2015
Langue
anglais
ISBN 10 
0521811554
ISBN 13 
9780521811552
Reliure
Relié
Nombre de pages
294
Coordonnées du fabricant
Cambridge University Press
https://www.cambridge.org/

Via Honduras,15
Pomezia
Italia
71
Italie