Algebra, Geometry and Software Systems

Michael Joswig, Nobuki Takayama

344 pages, parution le 27/03/2003

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Résumé

A collection of surveys and research papers on mathematical software and algorithms. The common thread is that the field of mathematical applications lies on the border between algebra and geometry. Topics include polyhedral geometry, elimination theory, algebraic surfaces, Gröbner bases, triangulations of point sets and the mutual relationship. This diversity is accompanied by the abundance of available software systems which often handle only special mathematical aspects. This is why the volume also focuses on solutions to the integration of mathematical software systems. This includes low-level and XML based high-level communication channels as well as general frameworks for modular systems.

Contents

Beneath-and-Beyond Revisited Michael Joswig
Some Algorithmic Problems in Polytope Theory Volker Kaibel, Marc E. Pfetsch
Computing Triangulations Using Oriented Matroids Julian Pfeifle, Jörg Rambau
Discrete Geometry for Algebraic Elimination Ioannis Z. Emiris
Sparse Resultant Perturbations Carlos D' Andrea, Ioannis Z. Emiris
Numerical Irreducible Decomposition
Using PHCpack Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
Generating Kummer Type Formulas for Hypergeometric Functions Nobuki Takayama
A Computer Algebra System: Risa/Asir Masayuki Noro
Singular in a Framework for Polynomial Computations Hans Schönemann
Computing Simplicial Homology Based on Efficient Smith Normal Form Algorithms Jean-Guillaume Dumas, Frank Heckenbach, David Saunders, Volkmar Welker
The Geometry of Cⁿ is Important for the Algebra of Elementary Functions James H. Davenport
A Visual Introduction to Cubic Surfaces Using the Computer Software Spicy Duco van Straten, Oliver Labs
A Client-Server System for the Visualisation of Algebraic Surfaces on the Web Richard Morris
Visualizing Maple Plots with JavaViewLib Steven Peter Dugaro, Konrad Polthier
Automated Generation of Diagrams with Maple and Java Dongming Wang
Interactive Mathematical Documents on the Web Arjeh M. Cohen, Hans Cuypers, Ernesto Reinaldo Barreiro, Hans Sterk
Distributed Computing for Conglomerate Mathematical Systems Andrew Solomon

L'auteur - Michael Joswig

Technische Universität Berlin, Germany

L'auteur - Nobuki Takayama

University of Kobe, Japan (Eds.)

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Michael Joswig, Nobuki Takayama
Parution	27/03/2003
Nb. de pages	344
Format	16 x 24
Couverture	Relié
Poids	640g
Intérieur	Noir et Blanc
EAN13	9783540002567