Name: Solving Polynomial Equation Systems iv: Volume 4, Buchberger Theory and Beyond (Encyclopedia of Mathematics and its Applications)
Price: 9248.00 TWD
Availability: InStock
Author: Teo Mora
ISBN: 9781107109636

portada Solving Polynomial Equation Systems iv: Volume 4, Buchberger Theory and Beyond (Encyclopedia of Mathematics and its Applications)

Solving Polynomial Equation Systems iv: Volume 4, Buchberger Theory and Beyond (Encyclopedia of Mathematics and its Applications)

Type

Physical Book

Publisher

Cambridge University Press

Author

Teo Mora

Year

2016

Language

English

Pages

834

Format

Hardcover

ISBN13

9781107109636

Edition No.

Synopsis "Solving Polynomial Equation Systems iv: Volume 4, Buchberger Theory and Beyond (Encyclopedia of Mathematics and its Applications) "

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.

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Solving Polynomial Equation Systems iv: Volume 4, Buchberger Theory and Beyond (Encyclopedia of Mathematics and its Applications) - Teo Mora

Synopsis "Solving Polynomial Equation Systems iv: Volume 4, Buchberger Theory and Beyond (Encyclopedia of Mathematics and its Applications) "

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