Solving polynomial equation systems volume 3 Albebraic solving / Teo Mora, University of Genoa

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1. Verfasser: Mora, Teo (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Cambridge Cambridge University Press 2015
Schriftenreihe:Encyclopedia of mathematics and its applications 157
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Beschreibung
Beschreibung:"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."--Page [4] of book cover
Beschreibung:IX, 275 Seiten
graf. Darst.
24 cm
ISBN:0521811554
0-521-81155-4
9780521811552
978-0-521-81155-2