Using Algebraic Geometry

• Main Authors: Cox, David A. (Author), Little, John (Author), O’shea, Donal (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2005.
• Edition: Second Edition.
• Series: Graduate Texts in Mathematics, 185
• Subjects: Mathematics.; Computer science > Mathematics.; Algebraic geometry.; Algorithms.; Algebraic Geometry.; Symbolic and Algebraic Manipulation.

In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new...

Table of Contents:

• Solving Polynomial Equations
• Resultants
• Computation in Local Rings
• Modules
• Free Resolutions
• Polytopes, Resultants, and Equations
• Polyhedral Regions and Polynomials
• Algebraic Coding Theory
• The Berlekamp-Massey-Sakata Decoding Algorithm.