Kniha Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving Teo Mora

Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving

Autor: Teo Mora
Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 9-15 dnů
3 563
This third volume of four finishes the program begun in Volume 1 by describing all the most importan...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2015
Stránek
294
EAN
9780521811552
ISBN
0521811554
Enbook ID
09037470
Hmotnost
622
Rozměry
241 x 166 x 27

Kompletní popis

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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