Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving: 157 (Encyclopedia of Mathematics and its Applications, Series Number 157) - Image 1

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Cambridge University Press Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving: 157 (Encyclopedia of Mathematics and its Applications, Series Number 157)

Name: Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving: 157 (Encyclopedia of Mathematics and its Applications, Series Number 157)
Brand: Cambridge University Press

7 b/w illus.

Science

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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.

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Brand: Cambridge University Press
Model: 7 b/w illus.
Format: Hardcover
ASIN: 0521811554
Category: Books > Subjects > Biography > Professionals & Academics > Science
Domain: Amazon UK
Release Date: 07 August 2015
Listed Since: 19 October 2006

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Cambridge University Press Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving: 157 (Encyclopedia of Mathematics and its Applications, Series Number 157)

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