Algebra, Geometry and Software Systems

By: Michael Joswig (Editor), Nobuki Takayama (Editor)

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Hardcover | 19 March 2003

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Hardcover
348 Pages

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23.5 x 15.88 x 1.91

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In many fields of modern mathematics specialised scientific software becomes increasingly important. Hence, tremendous effort is taken by numerous groups all over the world to develop appropriate solutions.This book contains 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, Grobner 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. Therefore the volume's other focus is on solutions towards the integration of mathematical software systems. This includes low-level and XML based high-level communication channels as well as general framework for modular systems.

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You Can Find This Book In

Non-Fiction Mathematics Algebra Computing & I.T.Business Applications Integrated Software Packages Computer Science Mathematical Theory of Computation Maths for Computer Scientists Computer Programming & Software Development Algorithms & Data Structures Mathematical & Statistical Software

Applied Mathematics Software Engineering Geometry Algebraic Geometry Databases Data Capture & Analysis

Preface	p. V
Detailed Table of Contents	p. IX
Beneath-and-Beyond Revisited	p. 1
Some Algorithmic Problems in Polytope Theory	p. 23
Computing Triangulations Using Oriented Matroids	p. 49
Discrete Geometry for Algebraic Elimination	p. 77
Sparse Resultant Perturbations	p. 93
Numerical Irreducible Decomposition Using PHCpack	p. 109
Generating Kummer Type Formulas for Hypergeometric Functions	p. 131
A Computer Algebra System: Risa/Asir	p. 147
Singular in a Framework for Polynomial Computations	p. 163
Computing Simplicial Homology Based on Efficient Smith Normal Form Algorithms	p. 177
The Geometry of <$>{op C}^n<$> is Important for the Algebra of Elementary Functions	p. 207
A Visual Introduction to Cubic Surfaces Using the Computer Software Spicy	p. 225
A Client-Server System for the Visualisation of Algebraic Surfaces on the Web	p. 239
Visualizing Maple Plots with JavaViewLib	p. 255
Automated Generation of Diagrams with Maple and Java	p. 277
Interactive Mathematical Documents on the Web	p. 289
Distributed Computing for Conglomerate Mathematical Systems	p. 309
Index	p. 327
Software Systems	p. 331
Table of Contents provided by Publisher. All Rights Reserved.

Algebra, Geometry and Software Systems

At a Glance

Hardcover

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