
Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving
Teo Mora(Author)
Cambridge University Press
Published on 7. August 2015
Book
Hardback
294 pages
978-0-521-81155-2 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; 7 Line drawings, unspecified
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 22 mm
Weight
662 gr
ISBN-13
978-0-521-81155-2 (9780521811552)
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Schweitzer Classification
Other editions
Additional editions

E-Book
11/2015
Cambridge University Press
€97.49
Available for download

E-Book
08/2015
Cambridge University Press
€93.49
Available for download
Person
Teo Mora is a Professor of Algebra in the Department of Mathematics at the University of Genoa.
Content
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.