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Algebra, Geometry and Software Systems

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Michael Joswig

    1. Institut für Mathematik, MA 6-2, Technische Universität Berlin, Berlin, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Nobuki Takayama

    1. Department of Mathematics, Kobe University, Rokko, Kobe, Japan

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    You can also search for this editor in PubMed   Google Scholar

  • latest stuff on mathematical software
  • Includes supplementary material: sn.pub/extras

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Table of contents (17 papers)

  1. Front Matter

    Pages I-XIII
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  2. Beneath-and-Beyond Revisited

    • Michael Joswig
    Pages 1-21

  3. Some Algorithmic Problems in Polytope Theory

    • Volker Kaibel, Marc E. Pfetsch
    Pages 23-47

  4. Computing Triangulations Using Oriented Matroids

    • Julian Pfeifle, Jörg Rambau
    Pages 49-75

  5. Discrete Geometry for Algebraic Elimination

    • Ioannis Z. Emiris
    Pages 77-91

  6. Sparse Resultant Perturbations

    • Carlos D’ Andrea, Ioannis Z. Emiris
    Pages 93-107

  7. Numerical Irreducible Decomposition Using PHCpack

    • Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
    Pages 109-129

  8. Generating Kummer Type Formulas for Hypergeometric Functions

    • Nobuki Takayama
    Pages 131-145

  9. A Computer Algebra System: Risa/Asir

    • Masayuki Noro
    Pages 147-162

  10. Singular in a Framework for Polynomial Computations

    • Hans Schönemann
    Pages 163-176

  11. Computing Simplicial Homology Based on Efficient Smith Normal Form Algorithms

    • Jean-Guillaume Dumas, Frank Heckenbach, David Saunders, Volkmar Welker
    Pages 177-206

  12. The Geometry of ℂn is Important for the Algebra of Elementary Functions

    • James H. Davenport
    Pages 207-224

  13. A Visual Introduction to Cubic Surfaces Using the Computer Software Spicy

    • Duco van Straten, Oliver Labs
    Pages 225-238

  14. A Client-Server System for the Visualisation of Algebraic Surfaces on the Web

    • Richard Morris
    Pages 239-253

  15. Visualizing Maple Plots with JavaViewLib

    • Steven Peter Dugaro, Konrad Polthier
    Pages 255-275

  16. Automated Generation of Diagrams with Maple and Java

    • Dongming Wang
    Pages 277-287

  17. Interactive Mathematical Documents on the Web

    • Arjeh M. Cohen, Hans Cuypers, Ernesto Reinaldo Barreiro, Hans Sterk
    Pages 289-307

  18. Distributed Computing for Conglomerate Mathematical Systems

    • Andrew Solomon
    Pages 309-325

  19. Back Matter

    Pages 327-331
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Keywords

About this book

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, 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. 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.

Editors and Affiliations

  • Institut für Mathematik, MA 6-2, Technische Universität Berlin, Berlin, Germany

    Michael Joswig

  • Department of Mathematics, Kobe University, Rokko, Kobe, Japan

    Nobuki Takayama

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