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› Find signed collectible books: 'Algorithms in Invariant Theory (Archives of Virology)'
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› Find signed collectible books: 'Algorithms in Invariant Theory (Texts & Monographs in Symbolic Computation)'
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› Find signed collectible books: 'Combinatorial Commutative Algebra (Graduate Texts in Mathematics)'
Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs
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› Find signed collectible books: 'Computational Synthetic Geometry (Lecture Notes in Mathematics)'
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› Find signed collectible books: 'Computations in Algebraic Geometry with Macaulay 2'
This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics.
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› Find signed collectible books: 'Grobner Bases and Convex Polytopes (University Lecture Series, No. 8)'
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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› Find signed collectible books: 'Gröbner Deformations of Hypergeometric Differential Equations (Algorithms and Computation in Mathematics)'
The theory of Gröbner bases is a main tool for dealing with rings of differential operators. This book reexamines the concept of Gröbner bases from the point of view of geometric deformations. The algorithmic methods introduced in this book are particularly useful for studying the systems of multidimensional hypergeometric Pde's introduced by Gelfand, Kapranov, and Zelevinsky. A number of original research results are contained in the book, and many open problems are raised for future research in this rapidly growing area of computational mathematics.
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› Find signed collectible books: 'Lectures on Algebraic Statistics (Oberwolfach Seminars)'
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› Find signed collectible books: 'Oriented Matroids (Encyclopedia of Mathematics and its Applications)'
Oriented matroids are a very natural mathematical concept which presents itself in many different guises, and which has connections and applications to many different areas. These include discrete and computational geometry, combinatorics, convexity, topology, algebraic geometry, operations research, computer science and theoretical chemistry. This is the first comprehensive and accessible account of the subject. This book is intended for a diverse audience: graduate students who wish to learn the subject from scratch, researchers in the various fields of application who want to concentrate on certain aspects of the theory, specialists who need a thorough reference work, and others at points in between. A list of exercises and open problems ends each chapter, and the work is rounded off by an up-to-date and exhaustive reference list.
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› Find signed collectible books: 'Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6'
The theory of Gröbner bases is a main tool for dealing with rings of differential operators. This book reexamines the concept of Gröbner bases from the point of view of geometric deformations. The algorithmic methods introduced in this book are particularly useful for studying the systems of multidimensional hypergeometric PDE's introduced by Gelfand, Kapranov, and Zelevinsky. A number of original research results are contained in the book, and many open problems are raised for future research in this rapidly growing area of computational mathematics.
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