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portada Solving Polynomial Equation Systems Iii: Volume 3, Algebraic Solving (Encyclopedia of Mathematics and its Applications)
Type
Physical Book
Publisher
Author
Year
2015
Language
English
Pages
294
Format
Hardcover
ISBN13
9780521811552
Edition No.
1
Categories

Solving Polynomial Equation Systems Iii: Volume 3, Algebraic Solving (Encyclopedia of Mathematics and its Applications)

Teo Mora (Author) · Cambridge University Press · Hardcover

Solving Polynomial Equation Systems Iii: Volume 3, Algebraic Solving (Encyclopedia of Mathematics and its Applications) - Teo Mora

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Synopsis "Solving Polynomial Equation Systems Iii: Volume 3, Algebraic Solving (Encyclopedia of Mathematics and its Applications) "

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.

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