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Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving

Name: Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving
Brand: Cambridge University Press
SKU: 09037470
Price: 164.69 EUR
Availability: InStock
Author: Teo Mora
ISBN: 9780521811552

Teo Mora

Language

English

Book Hardback

Libristo code: 09037470

Publishers Cambridge University Press, August 2015

This third volume of four finishes the program begun in Volume 1 by describing all the most importan... Full description

Libristo code: 09037470

403 b

164.69 € VAT included

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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 Gröbner 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 Bézout 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.