Software for Algebraic Geometry

• Corporate Author: SpringerLink (Online service)
• Other Authors: Stillman, Michael (Editor), Verschelde, Jan (Editor), Takayama, Nobuki (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2008.
• Series: The IMA Volumes in Mathematics and its Applications, 148
• Subjects: Mathematics.; Algebraic geometry.; Computer mathematics.; Numerical analysis.; Algebraic Geometry.; Computational Science and Engineering.; Numerical Analysis.

Algorithms in algebraic geometry go hand in hand with software packages that implement them. Together they have established the modern field of computational algebraic geometry which has come to play a major role in both theoretical advances and applications. Over the past fifteen years, several exc...

Table of Contents:

• Software for Numerical Algebraic Geometry: A Paradigm and Progress Towards its Implementation
• PHClab: A MATLAB/Octave Interface to PHCpack
• Computing Gröbner Fans and Tropical Varieties in Gfan
• On a Conjecture for the Dimension of the Space of the Multiple Zeta Values
• DEMiCs: A Software Package for Computing the Mixed Volume Via Dynamic Enumeration of all Mixed Cells
• SYNAPS: A Library for Dedicated Applications in Symbolic Numeric Computing
• Tropical Implicitization and Mixed Fiber Polytopes
• Towards a Black-Box Solver for Finite Games: Computing All Equilibria With Gambit and PHCpack
• ApaTools: A Software Toolbox for Approximate Polynomial Algebra.