Grobner Bases by Thomas Becker
This book provides a comprehensive treatment of Gr bner bases theory embedded in an introduction to commutative algebra from a computational point of view. The centerpiece of Gr bner bases theory is the Buchberger algorithm, which provides a common generalization of the Euclidean algorithm and the Gaussian elimination algorithm to multivariate polynomial rings. The book explains how the Buchberger algorithm and the theory surrounding it are eminently important both for the mathematical theory and for computational applications. A number of results such as optimized version of the Buchberger algorithm are presented in textbook format for the first time. This book requires no prerequisites other than the mathematical maturity of an advanced undergraduate and is therefore well suited for use as a textbook. At the same time, the comprehensive treatment makes it a valuable source of reference on Gr bner bases theory for mathematicians, computer scientists, and others. Placing a strong emphasis on algorithms and their verification, while making no sacrifices in mathematical rigor, the book spans a bridge between mathematics and computer science.-
Algebraic Geometry
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Introduction to Riemannian Manifolds
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Algebra
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The Arithmetic of Elliptic Curves
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Brownian Motion and Stochastic Calculus
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Applications of Lie Groups to Differential Equations
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Representation Theory
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Advanced Linear Algebra
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Groups and Representations
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Modular Functions and Dirichlet Series in Number Theory
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Categories for the Working Mathematician
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Quaternion Algebras
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Measure, Integration & Real Analysis
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Differential Forms in Algebraic Topology
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Complex Analysis
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Modern Graph Theory
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Problems in Analytic Number Theory
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Fermat's Last Theorem
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Holomorphic Functions and Integral Representations in Several Complex Variables
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Elements of Homotopy Theory
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Graph Theory
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Probability Theory I
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Algebraic Number Theory
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Topology and Geometry
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Foundations of Differentiable Manifolds and Lie Groups
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Abstract Algebra
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Introduction to Topological Manifolds
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Linear Representations of Finite Groups
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A Classical Introduction to Modern Number Theory
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Introduction to Smooth Manifolds
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Brownian Motion, Martingales, and Stochastic Calculus
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Lie Groups, Lie Algebras, and Representations
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Functions of One Complex Variable I
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A First Course in Modular Forms
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Commutative Algebra
| SKU | Unavailable |
| ISBN 13 | |
| ISBN 10 | |
| Title | Grobner Bases |
| Author | Thomas Becker |
| Series | |
| Condition | Unavailable |
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| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
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