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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond (Encyclopedia of Mathematics and its Applications) - Hardcover
Synopsis
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.
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About the Author
Teo Mora is a Professor of Algebra in the Department of Mathematics at the University of Genoa.
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SOLVING POLYNOMIAL EQUATION SYSTEMS IV
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Solving Polynomial Equation Systems
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Solving Polynomial Equation Systems
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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond (Encyclopedia of Mathematics and its Applications)
Published by
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ISBN 10: 1107109639
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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond (Encyclopedia of Mathematics and its Applications)
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ISBN 13: 9781107109636
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Solving Polynomial Equation Systems
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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond (Encyclopedia of Mathematics and its Applications)
Published by
Cambridge University Press, 2016
ISBN 10: 1107109639
ISBN 13: 9781107109636
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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond (Hardcover)
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ISBN 10: 1107109639
ISBN 13: 9781107109636
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Hardcover. Condition: new. Hardcover. 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, Groebner 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 Faugere (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. In this fourth and final volume the author covers extensions of Buchberger's Algorithm, including a discussion of the most promising recent alternatives to Groebner bases: Gerdt's involutive bases and Faugere's F4 and F5 algorithms. This completes the author's comprehensive treatise, which is a fundamental reference for any mathematical library. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781107109636
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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond (Encyclopedia of Mathematics and its Applications)
Published by
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ISBN 10: 1107109639
ISBN 13: 9781107109636
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Solving Polynomial Equation Systems: Buchberger Theory and Beyond: Vol 4
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Hardcover. Condition: Brand New. 800 pages. 9.50x6.50x2.00 inches. In Stock. This item is printed on demand. Seller Inventory # __1107109639
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