497
Książki
Cambridge University Press
Solving Polynomial Equation Systems: Volume 3, Algebraic Solving
Wydawnictwo:
Cambridge University Press
Oprawa: Twarda
Opis
This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Grobner 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 Bezout 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.Preface; Setting; Part VI. Algebraic Solving: 39. Trinks; 40. Stetter; 41. Macaulay IV; 42. Lazard II; 43. Lagrange II; 44. Kronecker IV; 45. Duval II; Bibliography; Index.
Szczegóły
Tytuł
Solving Polynomial Equation Systems: Volume 3, Algebraic Solving
Autor
Teo Mora
Wydawnictwo
Rok wydania
2015
Oprawa
Twarda
Ilość stron
294
ISBN
9780521811552
EAN
9780521811552
Kraj produkcji
ES
Producent
Cambridge University Press
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Solving Polynomial Equation Systems: Volume 3, Algebraic Solving
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