Solving Polynomial Equation Systems

Erscheinungsjahr 2015
ISBN: 978-0-521-81155-2
Verlag: Cambridge University Press

Buch, Englisch, Band 157, 294 Seiten, HC gerader Rücken kaschiert, Format (B × H): 161 mm x 240 mm, Gewicht: 664 g

Reihe: Encyclopedia of Mathematics and its Applications

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.

Autoren/Hrsg.

Mora, Teo

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Algebra

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.

Über Autor(innen)

Mora, Teo
Teo Mora is a Professor of Algebra in the Department of Mathematics at the University of Genoa.