Buy Grobner Bases and Convex Polytopes (University Lecture Series, No. 8) on ✓ FREE SHIPPING on qualified orders. Request PDF on ResearchGate | Grobner bases and convex polytopes / Bernd Sturmfels | Incluye bibliografía e índice. On the other hand, in order to use polytopes to study Gröbner bases of ideals Convex Polytopes Monomial Ideal Finite Graph Homogeneous.
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University Lecture Series Volume: This book is about the interplay of computational commutative algebra and the theory of convex polytopes. It centers around a special class of ideals in a polynomial ring: They are characterized as those prime ideals that are generated by monomial differences or as the defining ideals of toric varieties not necessarily normal.
These applications lie in the domains of integer programming and computational statistics.
The mathematical tools presented in the volume are drawn from commutative algebra, combinatorics, and polyhedral geometry. Graduate students and mathematicians interested in computer science and theoretical operations research.
Gröbner Bases and Convex Polytopes
fonvex It is an essential introduction for those who wish to perform research in this fast-developing, interdisciplinary field. It underlines the powerful techniques of commutative algebra in the interplay with combinatorics and polyhedral geometry. The exposition is clear and very well motivated.
There is an abundance of illustrative examples; often, the same example basss carried through a number of chapters to give coherence to the discussion … The reader will be amply rewarded, as this is an elegantly written work of wide scholarship.
Grobner Bases and Convex Polytopes
This monograph represents a well written introduction to a rapidly developing field of algebra. The exercises and bibliographical remarks included will make it easy for the reader keen on understanding the interplay between commutative algebra and the subjects quoted groebne to gain deeper insight.
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