This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gr???bner 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 ...
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This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gr???bner 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 B???zout 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.
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Add this copy of Solving Polynomial Equation Systems III: Volume 3, to cart. $67.51, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2015 by Cambridge University Press.
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Add this copy of Solving Polynomial Equation Systems III: Volume 3, to cart. $146.80, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2015 by Cambridge University Press.
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New. Print on demand Contains: Line drawings, Unspecified. Encyclopedia of Mathematics and its Applications . 7 b/w illus. Intended for professional and scholarly audience.
