Groebner Bases: A Short Introduction for Systems Theorists
Bruno Buchberger
In: Proceedings of EUROCAST 2001 (8th International Conference on Computer Aided
Systems Theory - Formal Methods and Tools for Computer Science), Feb. 19-23,
2001, Las Palmas de Gran Canaria, (R. Moreno-Diaz, B. Buchberger, J.L. Freire eds.),
Lecture Notes in Computer Science 2178, Springer, Berlin - Heidelberg - New York,
2201, pp. 1-19.
(ISSN 0302-9743, ISBN 3-540-42959-X.
Copyright: Springer, Berlin - Heidelberg - New York.)
ABSTRACT:
We give a short introduction to the theory of Groebner bases introduced
and developed by the author since 1965.
We start from a list of problems in systems theory for which the method
of Groebner bases has recently been applied. The style of the presentation
is informal, we concentrate on conveying the intuition behind the basic notions
and results of the theory. Finally, we make a few remarks about the history of
Groebner bases and give suggestions about how to get access to references and
software on the Groebner bases method.