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

Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving

Autor: Teo Mora
Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 9-15 dni
657.77
This third volume of four finishes the program begun in Volume 1 by describing all the most importan...

Informacje o książce

Autor
Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2015
strony
294
EAN
9780521811552
ISBN
0521811554
Enbook ID
09037470
Waga
622
Wymiary
241 x 166 x 27

Pełny opis

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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