Solving Polynomial Equation Systems: Buchberger Theory and Beyond: 158 (Encyclopedia of Mathematics and its Applications, Series Number 158) - Tapa dura

Libro 164 de 188: Encyclopedia of Mathematics and its Applications

Mora, Teo

 
9781107109636: Solving Polynomial Equation Systems: Buchberger Theory and Beyond: 158 (Encyclopedia of Mathematics and its Applications, Series Number 158)
Tapa dura
ISBN 10: 1107109639 ISBN 13: 9781107109636
Editorial: Cambridge University Press, 2016

Sinopsis

In this fourth and final volume the author extends Buchberger's Algorithm in three different directions. First, he extends the theory to group rings and other Ore-like extensions, and provides an operative scheme that allows one to set a Buchberger theory over any effective associative ring. Second, he covers similar extensions as tools for discussing parametric polynomial systems, the notion of SAGBI-bases, Gröbner bases over invariant rings and Hironaka's theory. Finally, Mora shows how Hilbert's followers - notably Janet, Gunther and Macaulay - anticipated Buchberger's ideas and discusses the most promising recent alternatives by Gerdt (involutive bases) and Faugère (F4 and F5). This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

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

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Cambridge University Press
Año de publicación
2016
Idioma
Inglés
ISBN 10 
1107109639
ISBN 13 
9781107109636
Encuadernación
Tapa dura
Número de páginas
834
Contacto del fabricante
no disponible
Persona responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
Francia