This book starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems.
The next chapter describes algorithms in invariant theory including many examples and time tables. These techniques are applied in the chapters on symmetric bifurcation theory and equivariant dynamics.
This combination of different areas of mathematics will be interesting to researchers in computational algebra and/or dynamics.

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Bibliographic Information

Book Title: Computer Algebra Methods for Equivariant Dynamical Systems
Editors: Karin Gatermann
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0104059
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2000
Softcover ISBN: 978-3-540-67161-9Published: 27 March 2000
eBook ISBN: 978-3-540-46519-5Published: 06 May 2007
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVIII, 162
Topics: Algebra, Mathematics of Computing, Computational Science and Engineering, Math Applications in Computer Science, Analysis, Global Analysis and Analysis on Manifolds

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Table of contents (4 chapters)

Front Matter

Gröbner bases

Algorithms for the computation of invariants and equivariants

Symmetric bifurcation theory

Orbit space reduction

Back Matter

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