Download e-book for iPad: Solving Polynomial Equation Systems II: Macaulay's Paradigm by Teo Mora

By Teo Mora

ISBN-10: 0521811562

ISBN-13: 9780521811569

the second one quantity of this finished treatise focusses on Buchberger idea and its program to the algorithmic view of commutative algebra. In contrast to different works, the presentation here's in line with the intrinsic linear algebra constitution of Groebner bases, and hence trouble-free concerns lead simply to the state of the art in problems with implementation. an identical language describes the purposes of Groebner know-how to the primary difficulties of commutative algebra. The publication might be extensively utilized as a reference on uncomplicated excellent conception and a resource for the cutting-edge in its algorithmization. Aiming to supply a whole survey on Groebner bases and their purposes, the writer additionally comprises complicated elements of Buchberger concept, resembling the complexity of the set of rules, Galligo's theorem, the optimality of degrevlex, the Gianni-Kalkbrener theorem, the FGLM set of rules, etc. hence it will likely be crucial for all employees in commutative algebra, computational algebra and algebraic geometry.

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Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology: v. 2 (Encyclopedia of Mathematics and its Applications) by Teo Mora


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