TY - BOOK
AU - Stillman,Michael
AU - Verschelde,Jan
AU - Takayama,Nobuki
ED - SpringerLink (Online service)
TI - Software for Algebraic Geometry
T2 - The IMA Volumes in Mathematics and its Applications,
SN - 9780387781334
AV - QA564-609
U1 - 516.35 23
PY - 2008///
CY - New York, NY
PB - Springer New York
KW - Mathematics
KW - Algebraic geometry
KW - Computer mathematics
KW - Numerical analysis
KW - Algebraic Geometry
KW - Computational Science and Engineering
KW - Numerical Analysis
N1 - Software for Numerical Algebraic Geometry: A Paradigm and Progress Towards its Implementation -- PHClab: A MATLAB/Octave Interface to PHCpack -- Computing GrÃ¶bner 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
N2 - 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 excellent general purpose packages for computations in algebraic geometry have been developed, such as, CoCoA, Singular and Macaulay 2. While these packages evolve continuously, incorporating new mathematical advances, they both motivate and demand the creation of new mathematics and smarter algorithms. This volume reflects the workshop "Software for Algebraic Geometry" held in the week from 23 to 27 October 2006, as the second workshop in the thematic year on Applications of Algebraic Geometry at the IMA. The papers in this volume describe the software packages Bertini, PHClab, Gfan, DEMiCs, SYNAPS, TrIm, Gambit, ApaTools, and the application of Risa/Asir to a conjecture on multiple zeta values. They offer the reader a broad view of current trends in computational algebraic geometry through software development and applications
UR - http://dx.doi.org/10.1007/978-0-387-78133-4
ER -