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.
Author(s): Vittorio Capecchi (auth.), Vittorio Capecchi, Massimo Buscema, Pierluigi Contucci, Bruno D'Amore (eds.)
Edition: 1
Publisher: Springer Netherlands
Year: 2010
Language: English
Pages: 617
Tags: Methodology of the Social Sciences; Applications of Mathematics; Quality of Life Research
Front Matter....Pages i-xv
Front Matter....Pages 79-79
Mathematics and Sociology....Pages 1-78
Equilibria of Culture Contact Derived from In-Group and Out-Group Attitudes....Pages 81-88
Society from the Statistical Mechanics Perspective....Pages 89-98
Objects, Words and Actions: Some Reasons Why Embodied Models are Badly Needed in Cognitive Psychology....Pages 99-112
Shared Culture Needs Large Social Networks....Pages 113-122
Mathematical Models of Financial Markets....Pages 123-130
Tackling Climate Change Through Energy Efficiency: Mathematical Models to Offer Evidence-Based Recommendations for Public Policy....Pages 131-146
An Application of the Multilevel Regression Technique to Validate a Social Stratification Scale....Pages 147-161
The Academic Mind Revisited: Contextual Analysis via Multilevel Modeling....Pages 163-193
Front Matter....Pages 195-195
The General Philosophy of the Artificial Adaptive Systems....Pages 197-226
Auto-contractive Maps, the H Function, and the Maximally Regular Graph (MRG): A New Methodology for Data Mining....Pages 227-275
An Artificial Intelligent Systems Approach to Unscrambling Power Networks in Italy’s Business Environment....Pages 277-311
Multi–Meta-SOM....Pages 313-347
How to Perform Data Mining: The “Persons Arrested” Dataset....Pages 349-414
Medicine and Mathematics of Complex Systems: An Emerging Revolution....Pages 415-430
J-Net System: A New Paradigm for Artificial Neural Networks Applied to Diagnostic Imaging....Pages 431-455
Digital Image Processing in Medical Applications, April 22, 2008....Pages 457-473
Front Matter....Pages 475-475
Mathematics, Art, and Interpretation: A Hermeneutic Perspective....Pages 477-484
Point, Line and Surface, Following Hilbert and Kandinsky....Pages 485-489
Figurative Arts and Mathematics: Pipes, Horses, Triangles and Meanings....Pages 491-503
Front Matter....Pages 475-475
The Idea of Space in Art, Technology, and Mathematics....Pages 505-518
Mathematical Structures and Sense of Beauty....Pages 519-535
Visual Impact and Mathematical Learning....Pages 537-545
Art by Numbers....Pages 547-553
My Way of Playing with the Computer: Suggestions for a Personal Experience in Vector Graphics....Pages 555-586
Four-Dimensional Ideas....Pages 587-599
From Art to Mathematics in the Paintings of Theo van Doesburg....Pages 601-610
Erratum to: Art by Numbers....Pages E1-E1
Back Matter....Pages 611-617
