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Solving Polynomial Equation Systems: Algebraic Solving: 3 (Encyclopedia of Mathematics and its Applications, Series Number 157) - Tapa dura

Libro 159 de 188: Encyclopedia of Mathematics and its Applications

Mora, Teo

 
9780521811552: Solving Polynomial Equation Systems: Algebraic Solving: 3 (Encyclopedia of Mathematics and its Applications, Series Number 157)

Sinopsis

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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Acerca del autor

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

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