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Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving on Hardback by Teo Mora
Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving on Hardback by Teo Mora
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Description

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.

Author Biography:

Teo Mora is a Professor of Algebra in the Department of Mathematics at the University of Genoa.
Release date Australia
August 7th, 2015
Author
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 7 Line drawings, unspecified
Pages
294
Dimensions
155x240x25
ISBN-13
9780521811552
Product ID
10377300

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