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Solving Polynomial Equation Systems

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by Teo Mora
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Solving Polynomial Equation Systems by Teo Mora

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 geometer

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Ebook Details
Pages: 294
Size: 2.2 MB
Publisher: Cambridge University Press
Date published:   2015
ISBN: 9781316308134 (DRM-PDF)

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Nonfiction > Mathematics > Algebra

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Nonfiction > Mathematics > Algebra > Elementary
Nonfiction > Mathematics > Algebra

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