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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.
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.
Über den Autor
Teo Mora is a Professor of Algebra in the Department of Mathematics at the University of Genoa.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2015
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780521811552
ISBN-10: 0521811554
Sprache: Englisch
Einband: Gebunden
Autor: Mora, Teo
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 240 x 161 x 22 mm
Von/Mit: Teo Mora
Erscheinungsdatum: 20.07.2015
Gewicht: 0,662 kg
Artikel-ID: 104961284

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