Numerous applications are described,
covering fields as disparate as algebraic geometry and financial
markets. To aid a deeper understanding of these applications there are
44 tutorials aimed at illustrating how the theory can be used in these
cases. The computational aspects of the tutorials can be carried out
with the computer algebra system CoCoA, an introduction to which
appears in an appendix. Besides the tutorials there are plenty of
exercises, some of a theoretical nature and others more practical.