  The purpose of this article is threefold. First, it provides the reader with
a few useful and efficient tools which should enable her/him to evaluate
nontrivial determinants for the case such a determinant should appear in
her/his research. Second, it lists a number of such determinants that have been
already evaluated, together with explanations which tell in which contexts they
have appeared. Third, it points out references where further such determinant
evaluations can be found.
