Algebra, Geometry and Software Systems

  • Michael Joswig
  • Nobuki Takayama

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Michael Joswig
    Pages 1-21
  3. Volker Kaibel, Marc E. Pfetsch
    Pages 23-47
  4. Julian Pfeifle, Jörg Rambau
    Pages 49-75
  5. Ioannis Z. Emiris
    Pages 77-91
  6. Carlos D’ Andrea, Ioannis Z. Emiris
    Pages 93-107
  7. Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
    Pages 109-129
  8. Masayuki Noro
    Pages 147-162
  9. Jean-Guillaume Dumas, Frank Heckenbach, David Saunders, Volkmar Welker
    Pages 177-206
  10. Steven Peter Dugaro, Konrad Polthier
    Pages 255-275
  11. Arjeh M. Cohen, Hans Cuypers, Ernesto Reinaldo Barreiro, Hans Sterk
    Pages 289-307
  12. Back Matter
    Pages 327-331

About these proceedings

Introduction

The 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, GrÖ"obner 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 volumes 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 frameworks for modular systems.

Keywords

Java Maple Mathematica Volume XML algorithms computer algebra computer algebra system distributed computing mathematical software polytope tar visualization

Editors and affiliations

  • Michael Joswig
    • 1
  • Nobuki Takayama
    • 2
  1. 1.Institut für Mathematik, MA 6-2Technische Universität BerlinBerlinGermany
  2. 2.Department of MathematicsKobe UniversityRokko, KobeJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-05148-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-05539-3
  • Online ISBN 978-3-662-05148-1