This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Groebner 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.
Reihe
Sprache
Verlagsort
Zielgruppe
Illustrationen
Worked examples or Exercises; 7 Line drawings, unspecified
Maße
Höhe: 240 mm
Breite: 161 mm
Dicke: 22 mm
Gewicht
ISBN-13
978-0-521-81155-2 (9780521811552)
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Schweitzer Klassifikation
Teo Mora is a Professor of Algebra in the Department of Mathematics at the University of Genoa.
Autor*in
University of Genoa
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.
