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.

This third volume of four describes all the most important techniques, mainly based on Groebner bases.

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


Book Information
ISBN 9780521811552
Author Teo Mora
Format Hardback
Page Count 294
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 620g
Dimensions(mm) 240mm * 155mm * 25mm