Applications of Mathematics in Models, Artificial Neural Networks and Arts

Mathematics and Society

  • Vittorio Capecchi
  • Massimo Buscema
  • Pierluigi Contucci
  • Bruno D'Amore

Table of contents

  1. Front Matter
    Pages i-xv
  2. Mathematics and Models

    1. Front Matter
      Pages 79-79
    2. Vittorio Capecchi
      Pages 1-78
    3. Pierluigi Contucci, Ignacio Gallo, Stefano Ghirlanda
      Pages 81-88
    4. Luca De Sanctis, Stefano Ghirlanda
      Pages 113-122
    5. Claudio Gallo
      Pages 123-130
  3. Mathematics and Neural Networks

  4. Mathematics and Art

    1. Front Matter
      Pages 475-475
    2. Raffaele Mascella, Franco Eugeni, Ezio Sciarra
      Pages 519-535
    3. Monica Idà, Cécile Ellia
      Pages 537-545
    4. Mel Bochner, Roman Opalka, other Philarithmics
      Pages 547-553
    5. Gian M. Todesco
      Pages 587-599
    6. Paola Vighi, Igino Aschieri
      Pages 601-610
    7. Mel Bochner, Roman Opalka, other Philarithmics
      Pages E1-E1
  5. Back Matter
    Pages 611-617

About this book


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.


Artificial Adaptive Systems Artificial Intelligent Systems Approach Artificial Neural Networks Arts Data Mining Embodied Models Mathematical Models Mathematical Sociology Maxima Multilevel Modeling Multilevel Regression Technique STATISTICA linear optimization

Editors and affiliations

  • Vittorio Capecchi
    • 1
  • Massimo Buscema
    • 2
  • Pierluigi Contucci
    • 3
  • Bruno D'Amore
    • 4
  1. 1.Dipto. Scienze dell'EducazioneUniversita BolognaBolognaItaly
  2. 2.Centro Ricerche di Scienze della, ComunicazioneSemeionRomaItaly
  3. 3.Dipto. MatematicaUniversità di BolognaBolognaItaly
  4. 4.BolognaItaly

Bibliographic information