Singular Tutorial
==================

Victor Levandovskyy

Abstract

Our aim is to show the flexibility and the performance of the
specialized computer algebra system Singular (www.singular.uni-kl.de).
The system is developed for polynomial computations with special
emphasis on the needs of commutative algebra, algebraic geometry,
and singularity theory. Indeed, Singular has one of the fastest
implementations of Groebner bases and of algorithms, which use
Groebner bases. Singular is very rich in functionality, especially
in commutative algebra. There are also non-commutative subsystems
of Singular, which will be shortly presented by means of solving
concrete problems, say from D-module theory.