The IMA Volumes in Mathematics and its Applications

Software for Algebraic Geometry

Editors: Stillman, Michael E., Takayama, Nobuki, Verschelde, Jan (Eds.)

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About this book

Algorithms in algebraic geometry go hand in hand with software packages that implement them. Together they have established the modern field of computational algebraic geometry which has come to play a major role in both theoretical advances and applications. Over the past fifteen years, several excellent general purpose packages for computations in algebraic geometry have been developed, such as, CoCoA, Singular and Macaulay 2. While these packages evolve continuously, incorporating new mathematical advances, they both motivate and demand the creation of new mathematics and smarter algorithms.

This volume reflects the workshop "Software for Algebraic Geometry" held in the week from 23 to 27 October 2006, as the second workshop in the thematic year on Applications of Algebraic Geometry at the IMA. The papers in this volume describe the software packages Bertini, PHClab, Gfan, DEMiCs, SYNAPS, TrIm, Gambit, ApaTools, and the application of Risa/Asir to a conjecture on multiple zeta values. They offer the reader a broad view of current trends in computational algebraic geometry through software development and applications.

Table of contents (9 chapters)

  • Software for Numerical Algebraic Geometry: A Paradigm and Progress Towards its Implementation

    Bates, Daniel J. (et al.)

    Pages 1-14

  • PHClab: A MATLAB/Octave Interface to PHCpack

    Guan, Yun (et al.)

    Pages 15-32

  • Computing Gröbner Fans and Tropical Varieties in Gfan

    Jensen, Anders Nedergaard

    Pages 33-46

  • On a Conjecture for the Dimension of the Space of the Multiple Zeta Values

    Kaneko, Masanobu (et al.)

    Pages 47-58

  • DEMiCs: A Software Package for Computing the Mixed Volume Via Dynamic Enumeration of all Mixed Cells

    Mizutani, Tomohiko (et al.)

    Pages 59-79

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-0-387-78133-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-0-387-78132-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-1-4419-2675-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Software for Algebraic Geometry
Editors
  • Michael E. Stillman
  • Nobuki Takayama
  • Jan Verschelde
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
148
Copyright
2008
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-78133-4
DOI
10.1007/978-0-387-78133-4
Hardcover ISBN
978-0-387-78132-7
Softcover ISBN
978-1-4419-2675-3
Series ISSN
0940-6573
Edition Number
1
Number of Pages
IX, 176
Topics