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This book presents algorithmic tools for algebraic geometry and experimental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out. Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications. The reader of this book will encounter Macaulay 2 in the context of concrete applications and practical computations in algebraic geometry. The expositions of the algorithmic tools presented here are designed to serve as a useful guide for those wishing to bring such tools to bear on their own problems.
This book presents algorithmic tools for algebraic geometry and experimental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out. Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications. The reader of this book will encounter Macaulay 2 in the context of concrete applications and practical computations in algebraic geometry. The expositions of the algorithmic tools presented here are designed to serve as a useful guide for those wishing to bring such tools to bear on their own problems.
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Inside This Book
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First Sentence:
Our first example concerns geometric objects in (complex) affine 3-space. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
extra syzygies, prune homology, local cohomological dimension, transpose vars, flip graph, generic initial ideal, cohomology operators, graded complete intersection, monomial ideal, toric ideal, holonomic modules, bigraded module, cohomological degree, affine patch, local cohomology modules, minimal injective resolution, linear syzygies, standard monomials, minimal generators, schubert calculus, canonical curves, conic bundles, adjunction theory, enumerative problems, entries gens Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Bernd Sturmfels, David Eisenbud, Shape Lemma, David Cox, Donal O'Shea, John Little, Ezra Miller, Journal of Symbolic Computation, Algebraic Geom New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Our first example concerns geometric objects in (complex) affine 3-space. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
extra syzygies, prune homology, local cohomological dimension, transpose vars, flip graph, generic initial ideal, cohomology operators, graded complete intersection, monomial ideal, toric ideal, holonomic modules, bigraded module, cohomological degree, affine patch, local cohomology modules, minimal injective resolution, linear syzygies, standard monomials, minimal generators, schubert calculus, canonical curves, conic bundles, adjunction theory, enumerative problems, entries gens Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Bernd Sturmfels, David Eisenbud, Shape Lemma, David Cox, Donal O'Shea, John Little, Ezra Miller, Journal of Symbolic Computation, Algebraic Geom New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 16
books:
See all 16 books this book cites
- Computer Algebra and Differential Equations (London Mathematical Society Lecture Note Series) by Evelyne Tournier in Back Matter
- New York (Land of Liberty) by Ellen Sturm on page 214
- Principles of Algebraic Geometry by Phillip Griffiths in Back Matter
- Some Tapas of Computer Algebra (Algorithms and Computation in Mathematics) by Arjeh M. Cohen on page 128
- Lectures on Polytopes (Graduate Texts in Mathematics) by Gunter M. Ziegler on page 214
See all 16 books this book cites
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55% buy the item featured on this page: Computations in Algebraic Geometry with Macaulay 2$60.14 |
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45% buy Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics) $43.96 |
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