Gröbner Bases and Convex Polytopes
✍ Bernd Sturmfels
📂 Library
📅 1995
🏛 American Mathematical Society
🌐 English
✦ LIBER ✦
📁
Gröbner Bases and Convex Polytopes
✍ Scribed by Bernd Sturmfels
- Publisher
- American Mathematical Society
- Year
- 1996
- Tongue
- English
- Leaves
- 174
- Series
- University Lecture Series, No. 8
- Category
- Library
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✦ 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 Gröbner 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.
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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 def
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🌐 English
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Gröbner Bases and Applications
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📂 Library
📅 1998
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The theory of Gröbner bases, invented by Bruno Buchberger, is a general method by which many fundamental problems in various branches of mathematics and engineering can be solved by structurally simple algorithms. The method is now available in all major mathematical software systems. This book prov