Algebra, geometry, and software systems

著者

書誌事項

Algebra, geometry, and software systems

Michael Joswig, Nobuki Takayama (eds.)

Springer, c2003

大学図書館所蔵 件 / 全17件

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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, Groebner 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.

目次

Beneath-and-Beyond Revisited.- Some Algorithmic Problems in Polytope Theory.- Computing Triangulations Using Oriented Matroids.- Discrete Geometry for Algebraic Elimination.- Sparse Resultant Perturbations.- Numerical Irreducible Decomposition Using PHCpack.- Generating Kummer Type Formulas for Hypergeometric Functions.- A Computer Algebra System: Risa / Asir.- Singular in a Framework for Polynomial Computations.- Computing Simplicial Homology Based on Efficient Smith Normal Form Algorithms.- The Geometry of ?n is Important for the Algebra of Elementary Functions.- A Visual Introduction to Cubic Surfaces Using the Computer Software Spicy.- A Client-Server System for the Visualisation of Algebraic Surfaces on the Web.- Visualizing Maple Plots with JavaViewLib.- Automated Generation of Diagrams with Maple and Java.- Interactive Mathematical Documents on the Web.- Distributed Computing for Conglomerate Mathematical Systems.- Software Systems.

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