The main aim of these lectures is to tri gger the interest of the
restless under- graduate student of physical, mathematical, engineering,
or biological sciences in the new and exciting multidisciplinary area of
the evolution of "large-scale" dynamical systems. This text grew out of
a synthesis of rather heterogeneous mate- rial that I presented on
various occasions and in different contexts. For example, from lectures
given since 1972 to first- and final-year undergraduate and first- year
graduate students at the School of Engineering of the University of
Patras and from informal seminars offered to an international group of
graduate and post- doctoral students and faculty members at the
University of Stuttgart in the aca- demic year 1982-1983. Those who
search for rigor or even formality in this book are bound to be rather
disappointed. My intention is to start from "scratch" if possible,
keeping the rea- soning heuristic and tied as closely as possible to
physical intuition; I assume as prerequisites just basic knowledge of
(classical) physics (at the level of the Berkeley series or the Feynman
lectures), calculus, and some elements of probabil- ity theory. This
does not mean that I intended to write an easy book, but rather to
eliminate any difficulty for an eager reader who, in spite of incomplete
for- malistic training, would like to become acquainted with the
physical ideas and con- cepts underlying the evolution and dynamics of
complex systems.