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 Roman Artisans and the Urban Economy by Teo Mora
Cover of the book Pattern Recognition Neuroradiology by Teo Mora
Cover of the book The Habsburg Monarchy 1815–1918 by Teo Mora
Cover of the book Economics of Electricity by Teo Mora
Cover of the book Global Health and Global Health Ethics by Teo Mora
Cover of the book Short Introduction to Accounting by Teo Mora
Cover of the book Shakespeare and Manuscript Drama by Teo Mora
Cover of the book Innovations in Sustainability by Teo Mora
Cover of the book Custom's Future by Teo Mora
Cover of the book Presidents and Civil Liberties from Wilson to Obama by Teo Mora
Cover of the book Refugee Law's Fact-Finding Crisis by Teo Mora
Cover of the book The Cambridge Companion to Levinas by Teo Mora
Cover of the book Trophic Ecology by Teo Mora
Cover of the book Epic Visions by Teo Mora
Cover of the book Neuropsychological Rehabilitation 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