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Solving Polynomial Equation Systems III : Volume 3, Algebraic Solving - Teo Mora

Solving Polynomial Equation Systems III

Volume 3, Algebraic Solving

By: Teo Mora

eBook | 10 November 2015

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This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Grobner 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.

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Non-FictionMathematicsAlgebraGeometryAlgebraic GeometryComputing & I.T.Computer ScienceMathematical Theory of Computation

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