Published 25 Jul 2000. First received 12 Feb 1999.

Computational aspects of classifying singularities

N. P. Kirk

Abstract: A Maple package which performs the symbolic algebra central to problems in local singularity theory is described. This is a generalisation of previous projects, which dealt only with problems in elementary catastrophe theory. Applications to specific problems are described, and a survey given of the powerful techniques from singularity theory that are used by the package. A description of the underlying algorithm is given, and some of the more important computational aspects discussed. The package, user manual and installation instructions are available in the appendices to this article.

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In addition to the paper, the following electronic appendices are available to subscribers :

Appendix A : This appendix contains a README file which gives detailed installation instructions for the packages described in the paper Computational aspects of classifying singularities, as well as a comprehensive user manual in PDF format.
(Note that these files are also available within the tar archives that contain the complete package for Maple V, Releases 1-4 (Appendix B), and Maple V, Release 5 (Appendix C), respectively.)

Appendix B : This appendix contains version 3.1 of the Transversal package described in the paper Computational aspects of classifying singularities,
provided as a tar archive. It runs under Maple V Releases 1-4.

Appendix C : This appendix contains version 3.2 of the Transversal package described in the paper Computational aspects of classifying singularities,
provided as a tar archive. It runs under Maple V Release 5.

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