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Title: Grobner Bases and Convex Polytopes (University Lecture Series, No. 8) by Bernd Sturmfels ISBN: 0-8218-0487-1 Publisher: American Mathematical Society Pub. Date: 01 December, 1995 Format: Paperback Volumes: 1 List Price(USD): $30.00 |
Average Customer Rating: 5 (1 review)
Rating: 5
Summary: A dense, but excellent, text
Comment: 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 computing 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.
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Title: Undergraduate Commutative Algebra (London Mathematical Society Student Texts, 29) by Miles Reid ISBN: 0521458897 Publisher: Cambridge University Press Pub. Date: 01 April, 1996 List Price(USD): $22.00 |
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Title: Solving Systems of Polynomial Equations (Cbms Regional Conference Series in Mathematics, No 97) by Bernd Sturmfels ISBN: 0821832514 Publisher: American Mathematical Society Pub. Date: 01 October, 2002 List Price(USD): $32.00 |
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Title: Algorithms in Real Algebraic Geometry (Algorithms and Computation in Mathematics, V. 10) by Saugata Basu, Richard Pollack, Marie-Francoise Roy, M.-F Roy ISBN: 3540009736 Publisher: Springer-Verlag Pub. Date: 01 September, 2003 List Price(USD): $69.95 |
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Title: Lectures on Polytopes (Graduate Texts in Mathematics, Vol 152) by Gunter M. Ziegler ISBN: 038794365X Publisher: Springer-Verlag Pub. Date: 01 November, 1994 List Price(USD): $44.95 |
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Title: Undergraduate Algebraic Geometry (London Mathematical Society Students Texts, 12) by M. Reid ISBN: 0521356628 Publisher: Cambridge University Press Pub. Date: 01 April, 1988 List Price(USD): $19.00 |
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