Capecchi V., Buscema M., Contucci P., D'Amore B. (editors) Applications of Mathematics in Models, Artificial Neural Networks and Arts: Mathematics and Society

Springer, 2010. - 617 pages.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.Vittorio Capecchi
Mathematics and Sociology
Mathematics and Models
Pierluigi Contucci, Ignacio Gallo, and Stefano Ghirlanda
Equilibria of Culture Contact Derived from In-Group and Out-Group Attitudes
Oscar Bolina
Society from the Statistical Mechanics Perspective
Anna M. Borghi, Daniele Caligiore, and Claudia Scorolli
Objects, Words and Actions: Some Reasons Why Embodied Models are Badly Needed in Cognitive Psychology
Luca De Sanctis and Stefano Ghirlanda
Shared Culture Needs Large Social Networks
Claudio Gallo
Mathematical Models of Financial Markets
Federico Gallo, Pierluigi Contucci, Adam Coutts, and Ignacio Gallo
Tackling Climate Change Through Energy Efficiency: Mathematical Models to Offer Evidence-Based Recommendations for Public Policy
Simone Sarti and Marco Terraneo
An Application of the Multilevel Regression Technique to Validate a Social Stratification Scale
Robert B. Smith
The Academic Mind Revisited: Contextual Analysis via Multilevel Modeling
Mathematics and Neural Networks
Massimo Buscema
The General Philosophy of the Artificial Adaptive Systems
Massimo Buscema and Pier L. Sacco
Auto-contractive Maps, the H Function, and the Maximally Regular Graph (MRG): A New Methodology for Data Mining
Massimo Buscema and Pier L. Sacco
An Artificial Intelligent Systems Approach to Unscrambling Power Networks in Italy’s Business Environment
Giulia Massini
Multi–Meta-SOM
Massimo Buscema
How to Perform Data Mining: The “Persons Arrested” Dataset
Enzo Grossi
Medicine and Mathematics of Complex Systems: An Emerging Revolution
Massimo Buscema and Enzo Grossi
J-Net System: A New Paradigm for Artificial Neural Networks Applied to Diagnostic Imaging
Sabina Tangaro, Roberto Bellotti, Francesco De Carlo, and Gianfranco Gargano
Digital Image Processing in Medical Applications, April 22, 2008
Mathematics and Art
Giorgio T. Bagni
Mathematics, Art, and Interpretation: A Hermeneutic Perspective
Giorgio Bolondi
Point, Line and Surface, Following Hilbert and Kandinsky
Bruno D’Amore
Figurative Arts and Mathematics: Pipes, Horses, Triangles and Meanings
Michele Emmer
The Idea of Space in Art, Technology, and Mathematics
Raffaele Mascella, Franco Eugeni, and Ezio Sciarra
Mathematical Structures and Sense of Beauty
Monica Idà and Cécile Ellia
Visual Impact and Mathematical Learning
Mel Bochner, Roman Opalka, and other Philarithmics
Art by Numbers
Aldo Spizzichino
My Way of Playing with the Computer: Suggestions for a Personal Experience in Vector Graphics
Gian M. Todesco
Four-Dimensional Ideas
Paola Vighi and Igino Aschieri
From Art to Mathematics in the Paintings of Theo van Doesburg