This paper is meant for the reader who knows something about continued
fractions,
and wishes to know more about the theory of
chaotic dynamical
systems;
it is also useful for the person who knows something
about chaotic dynamical systems but wishes to see clearly what the effects
of numerical simulation of such a system are.
This paper is not purely
introductory, however: there are new dynamical systems results presented here
and also in the companion paper [6], which
contains some discussion of dynamical
reconstruction techniques and dimension
estimates.