The book shows a very original organization addressing in a non
traditional way, but with a systematic approach, to who has an
interest in using mathematics in the social sciences.
The book is divided in four parts: (a) a historical part,
written by Vittorio Capecchi which helps us understand the changes
in the relationship between mathematics and sociology by analyzing
the mathematical models of Paul F. Lazarsfeld, the model of
simulation and artificial societies, models of artificial neural
network and considering all the changes in scientific paradigms
considered; (b) a part coordinated by Pier Luigi Contucci on
mathematical models that consider the relationship between the
mathematical models that come from physics and linguistics to
arrive at the study of society and those which are born within
sociology and economics; (c) a part coordinated by Massimo Buscema
analyzing models of artificial neural networks; (d) a part
coordinated by Bruno D'Amore which considers the relationship
between mathematics and art.
The title of the book "Mathematics and Society" was chosen
because the mathematical applications exposed in the book allow you
to address two major issues: (a) the general theme of technological
innovation and quality of life (among the essays are on display
mathematical applications to the problems of combating pollution
and crime, applications to mathematical problems of immigration,
mathematical applications to the problems of medical diagnosis,
etc.) (b) the general theme of technical innovation and creativity,
for example the art and mathematics section which connects to the
theme of creative cities.
The book is very original because it is not addressed only to
those who are passionate about mathematical applications in social
science but also to those who, in different societies, are: (a)
involved in technological innovation to improve the quality of
life; (b) involved in the wider distribution of technological
innovation in different areas of creativity (as in the project
"Creative Cities Network" of UNESCO).
General
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