Titel: Solving Polynomial Equation Systems: Volume 3, Algebraic Solving (Encyclopedia of Mathematics and its Applications)
Verlag: Cambridge University Press
Erscheinungsjahr: 2015
Sprache: Englisch
ISBN-10: 0521811554
ISBN-13: 9780521811552
Einband: Hardcover
Zustand: New

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Inhaltsangabe

This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gr�bner 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 B�zout 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.

�ber die Autorin bzw. den Autor

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

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