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  • Conference proceedings
  • © 2003

Algebra, Geometry and Software Systems

  • 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
  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. A Computer Algebra System: Risa/Asir

    • Masayuki Noro
    Pages 147-162
  9. Computing Simplicial Homology Based on Efficient Smith Normal Form Algorithms

    • Jean-Guillaume Dumas, Frank Heckenbach, David Saunders, Volkmar Welker
    Pages 177-206
  10. Visualizing Maple Plots with JavaViewLib

    • Steven Peter Dugaro, Konrad Polthier
    Pages 255-275
  11. Interactive Mathematical Documents on the Web

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

    Pages 327-331

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

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access