Solving Polynomial Equation Systems II
Macaulay's Paradigm and Grobner Technology v. 2
By (author) Teo Mora
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Solving Polynomial Equation Systems II by Teo Mora
Book DescriptionThe second volume of this comprehensive treatise focusses on Buchberger theory and its application to the algorithmic view of commutative algebra. In distinction to other works, the presentation here is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in issues of implementation. The same language describes the applications of Groebner technology to the central problems of commutative algebra. The book can be also used as a reference on elementary ideal theory and a source for the state-of-the-art in its algorithmization. Aiming to provide a complete survey on Groebner bases and their applications, the author also includes advanced aspects of Buchberger theory, such as the complexity of the algorithm, Galligo's theorem, the optimality of degrevlex, the Gianni-Kalkbrener theorem, the FGLM algorithm, and so on. Thus it will be essential for all workers in commutative algebra, computational algebra and algebraic geometry.
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Book DetailsISBN: 9780521811569
(234mm x 156mm x 41mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 5-May-2005
Country of Publication: United Kingdom
Books By Author Teo Mora
Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving, Hardback (August 2015)
This third volume of four describes all the most important techniques, mainly based on Grobner bases.
Solving Polynomial Equation Systems I, Hardback (March 2003)
Computational algebra; computational number theory; commutative algebra; handbook; reference; algorithmic; modern.
Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond, Hardback (January 2000)» View all books by Teo Mora
Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Grobner bases.
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