This third volume of four describes all the most important techniques, mainly based on Gröbner bases.
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Teo Mora is a Professor of Algebra in the Department of Mathematics at the University of Genoa.
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Hardcover. Condition: new. Hardcover. This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Groebner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni-Kalkbrener Theorem, Stetter Algorithm, Cardinal-Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bezout to Cayley. This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers. This third volume of four describes all the most important techniques, mainly based on Groebner bases. It covers the 'standard' solutions (GianniKalkbrener, AuzingerStetter, CardinalMourrain) as well as the more innovative (LazardRouillier, GiustiHeintzPardo). The author also explores the historical background, from Bezout to Macaulay. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521811552
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Hardcover. Condition: Brand New. 300 pages. 9.25x6.25x1.00 inches. In Stock. This item is printed on demand. Seller Inventory # __0521811554
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