Solving Polynomial Equation Systems
by
Teo Mora
Book Details
Format
Hardback or Cased Book
Book Series
Encyclopedia of Mathematics and its Applications
ISBN-10
1107109639
ISBN-13
9781107109636
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Apr 1st, 2016
Print length
834 Pages
Weight
1,444 grams
Dimensions
17.70 x 24.20 x 5.90 cms
Product Classification:
Algebra
Ksh 34,000.00
Manufactured on Demand
0 in stock
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In this fourth and final volume the author covers extensions of Buchberger's Algorithm, including a discussion of the most promising recent alternatives to Gröbner bases: Gerdt's involutive bases and Faugère's F4 and F5 algorithms. This completes the author's comprehensive treatise, which is a fundamental reference for any mathematical library.
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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