Computing in Algebraic Geometry A Quick Start using SINGULAR /

• Main Authors: Decker, Wolfram (Author), Lossen, Christoph (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Algorithms and Computation in Mathematics, 16
• Subjects: Mathematics.; Computer science > Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Computer mathematics.; Algorithms.; Computer software.; Algebraic Geometry.; Mathematical Software.; Commutative Rings and Algebras.; Symbolic and Algebraic Manipulation.; Computational Mathematics and Numerical Analysis.

Table of Contents:

• Introductory Remarks on Computer Algebra
• Basic Notations and Ideas: A Historical Account
• Basic Computational Problems and Their Solution
• An Introduction to SINGULAR
• Practical Session I
• Practical Session II
• Constructive Module Theory and Homological Algebra I
• Homological Algebra II
• Practical Session III
• Solving Systems of Polynomial Equations
• Primary Decomposition and Normalization
• Practical Session IV
• Algorithms for Invariant Theory
• Computing in Local Rings
• Practical Session V.