Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond

Nonfiction, Science & Nature, Mathematics, Algebra, Computers, General Computing
Cover of the book Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond by Teo Mora, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Teo Mora ISBN: 9781316379585
Publisher: Cambridge University Press Publication: April 1, 2016
Imprint: Cambridge University Press Language: English
Author: Teo Mora
ISBN: 9781316379585
Publisher: Cambridge University Press
Publication: April 1, 2016
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Orthogonal Polynomials and Painlevé Equations by Teo Mora
Cover of the book Discovering the Deep by Teo Mora
Cover of the book Shakespeare and the Idea of Apocrypha by Teo Mora
Cover of the book Military Saints in Byzantium and Rus, 900–1200 by Teo Mora
Cover of the book Shakespeare and the Visual Imagination by Teo Mora
Cover of the book Reconsidering John Calvin by Teo Mora
Cover of the book The Loyalist Problem in Revolutionary New England by Teo Mora
Cover of the book The Cambridge History of Capitalism: Volume 1, The Rise of Capitalism: From Ancient Origins to 1848 by Teo Mora
Cover of the book The First Boat People by Teo Mora
Cover of the book Expert Adjustments of Model Forecasts by Teo Mora
Cover of the book Prostate Cancer by Teo Mora
Cover of the book Holographic Duality in Condensed Matter Physics by Teo Mora
Cover of the book The Cambridge Companion to European Modernism by Teo Mora
Cover of the book Language Conflict and Language Rights by Teo Mora
Cover of the book Human Rights in the Twentieth Century by Teo Mora
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy