Springer Applications of Mathematics in Models, Artificial Neural Networks and Arts: Mathematics and Society

This book is focused on using mathematics in the social sciences. Discussion includes history, mathematical models, artificial neural networks, and the relationship between mathematics and art. From the Back Cover This book is set up in a non-traditional way, yet it takes a systematic approach. There are four parts. The first part is historical and deals with the changes that have taken place in recent years in the relationship between mathematics and sociology: an analysis is made of Paul F. Lazarsfeld’s mathematical models, models of simulation and artificial societies, and models of artificial neural networks. The second part compares and contrasts mathematical models that come from physics and linguistics and those that come from sociology and economics. The third part analyzes models of artificial neural networks in detail. The final part examines the relationship between mathematics and the arts. The book will be of interest to everyone involved in the application of mathematics to the social sciences and the use of technological innovations to improve the quality of life, and their distribution among the various creative arts. About the Author VITTORIO CAPECCHI Vittorio Capecchi ha avuto una laurea in economics e una specializzazione in mathematical sociology alla Columbia University con Paul F. Lazarsfeld ed è in seguito a questo incontro che nel 1967 ha fondato ed è diventato editor della rivista "Quality and Quantity". Dopo questa rivista ha fondato ed è diventato editor nel 1971 della rivista "Inchiesta", una rivista di economia e sociologia che ha cercato di diffondere la pratica dell’inchiesta fuori e all’interno dell’università. I suoi interessi vanno in due direzioni. Una prima direzione è quella della metodologia della ricerca e Capecchi ha studiato sia le applicazioni della matematica alla sociologia ma anche i cambiamenti nei paradigmi della ricerca (paradigma della oggettività, paradigma della ricerca azione/co-ricerca, paradigma della feminist methodology). Una seconda direzione è quella dello sviluppo e cambiamento della innovazione tecnologica. PIERLUIGI CONTUCCI Pierluigi Contucci is a Professor at University of Bologna, Department of Mathematics. He has taught and done scientific research at Princeton University and University of California. In 2000 he was been awarded the Schloessman prize from the Max Plank Society. His research interests are in Statistical Mechanics and applications to the social and economical sciences.   MASSIMO BUSCEMA Massimo Buscema (1955). Professor and Computer Scientist, expert in Neural Networks and Adaptive Artificial Systems. Founder and Director of Semeion – Research Centre of Science and Communication (a Scientific Organization Recognized by Italian Ministry of Research in 1991). Professor and Director of the Department of Science of Communications at the University of Charleston (West Virginia-USA 1981-1985) and Professor of "Computers and Linguistics" at the University of Perugia (1984-1985). Member on the Editorial Board of various international journals. He has designed, constructed developed new models and algorithms of Artificial Intelligence. Author of scientific publications on theoretical aspects of Natural Computation, with over 150 scientific articles, essays, and 18 books on the same subject. Inventor of 14 international patents. He programmed over 20 software packages in Artificial Neural Networks and Evolutionary Systems. Scientific Director of research projects on the application of artificial intelligence systems in biomedical field and security field. BRUNO D’AMORE Bruno D’Amore is a graduate in mathematics, philosophy and pedagogy; PhD in Mathematics Education; full professor in Mathematics Education at the Bologna University; co-director of Research Doctoral School at the Distrital University of Bogotà (Colombia). Is investigation field is Mathematics Education. CV complete: www.dm.unibo.it/rsddm