Information geometry provides the mathematical sciences with a new framework
for analysis. This framework is relevant to a wide variety of domains, and it
has already been usefully applied to several of these, providing them with a
new perspective from which to view the structure of the systems which they
investigate. Nevertheless, the development of the field of information geometry
can only be said to have just begun.
Information geometry began as an investigation of the natural differential
geometric structure possessed by families of probability distributions. As a
rather simple example, consider the set S of normal distributions with mean /z
and variance a2: