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Item Details
Title: GROBNER BASES AND CONVEX POLYTOPES
By: Bernd Sturmfels
Format: Paperback

List price: £61.00


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ISBN 10: 0821804871
ISBN 13: 9780821804872
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 December, 1995
Series: University Lecture Series v. 8
Pages: 162
Description: Deals with the interplay of computational commutative algebra and the theory of convex polytopes. This title centers around a special class of ideals in a polynomial ring: the class of toric ideals. They are characterized as those prime ideals that are generated by monomial differences or as the defining ideals of toric varieties.
Synopsis: 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: the class of toric ideals. They are characterized as those prime ideals that are generated by monomial differences or as the defining ideals of toric varieties (not necessarily normal). The interdisciplinary nature of the study of Grobner bases is reflected by the specific applications appearing in this book. 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.
Illustrations: Illustrations
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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APPLICATIONS OF COMPUTATIONAL ALGEBRAIC GEOMETRY (HB)
COMBINATORIAL ALGEBRAIC GEOMETRY (HB)
COMBINATORIAL COMMUTATIVE ALGEBRA (HB)
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COMPUTATIONAL SYNTHETIC GEOMETRY (PB)
GEOMETRIC COMBINATORICS (HB)
GROBNER DEFORMATIONS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS (HB)
GROBNER DEFORMATIONS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS (PB)
INTRODUCTION TO TROPICAL GEOMETRY
INTRODUCTION TO TROPICAL GEOMETRY (HB)
INVITATION TO NONLINEAR ALGEBRA
INVITATION TO NONLINEAR ALGEBRA (HB)
LECTURES ON ALGEBRAIC STATISTICS (PB)
METRIC ALGEBRAIC GEOMETRY
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ORIENTED MATROIDS (HB)
ORIENTED MATROIDS (PB)
SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS (PB)
THEORY OF ALGEBRAIC INVARIANTS (PB)

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