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. Buy Grobner Bases and Convex Polytopes (University Lecture Series, No. 8) on ✓ FREE SHIPPING on qualified orders.
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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. Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? This book is about the interplay of computational commutative algebra and the theory of convex polytopes. It centers around ploytopes 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. Read more Read less. Discover Prime Book Box for Kids. convrx
Customers who bought this item also bought. Page 1 of 1 Start over Covex 1 of 1. Ideals, Varieties, and Algorithms: University Lecture Series Book 8 Paperback: American Mathematical Society December 14, Language: I’d like to read this book on Kindle Don’t have a Kindle? Share your thoughts with other customers. Write a customer review. Showing of 2 bsses. Top Reviews Most recent Top Reviews.
There was a problem filtering reviews right now. Please try again later. I cannot recommend this text highly enough to anyone who is working with Grobner bases, especially in computational commutative algebra. Toric ideals, the state polytope, several algorithms for bades Grobner bases — Sturmfels brings all this together, as well as showing how it can all be applied to problems such as that of integer programming. Thanks to his excellent taste in the theorems he presents, Sturmfels has managed to put all this together in a relatively small, well-written package.
However, his brevity has made this a very dense text — you would do well to keep a copy of Schrijver’s Theory of Linear and Integer Programming at hand for proofs of some of the theorems, and if you are like me a first year grad student you will invariably need to look in some other algebraic and geometric texts for a more thorough treatment of some of the topics in here.
Another impenetrable text from this author. Too bad, it was so unnecessary as the subject easily lends itself to user friendly exposition. Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers.
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Gröbner Bases and Convex Polytopes
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Gröbner Bases and Convex Polytopes – Bernd Sturmfels – Google Books
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