Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Encyclopedia of Mathematics and its Applications
Release date:	August 2015
Authors:	Teo Mora
Dimensions:	240 x 155 x 25mm (L x W x T)
Format:	Hardcover
Pages:	294
ISBN-13:	978-0-521-81155-2
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General
LSN:	0-521-81155-4
Barcode:	9780521811552

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