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Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology (Encyclopedia of Mathematics and its Applications, Series Number 99) by Mora, Teo is a nonfiction available to read on EtoBox.

What is Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology (Encyclopedia of Mathematics and its Applications, Series Number 99) about?

The 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.

Who reads Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology (Encyclopedia of Mathematics and its Applications, Series Number 99)?

Author

Mora, Teo

Publisher

Cambridge University Press (Virtual Publishing)

Published

2005

Language

EN

ISBN

9781107109636

Category

nonfiction

Subjects

Mathematics, Stem