Conservation Laws and Symmetry: Applications to Economics and Finance: Applications To Economics And Finance - Couverture souple

Couverture souple

ISBN 10 : 9048157862 ISBN 13 : 9789048157860

Editeur : Springer, 2010

Synopsis

Modem geometric methods combine the intuitiveness of spatial visualization with the rigor of analytical derivation. Classical analysis is shown to provide a foundation for the study of geometry while geometrical ideas lead to analytical concepts of intrinsic beauty. Arching over many subdisciplines of mathematics and branching out in applications to every quantitative science, these methods are, notes the Russian mathematician A.T. Fomenko, in tune with the Renais- sance traditions. Economists and finance theorists are already familiar with some aspects of this synthetic tradition. Bifurcation and catastrophe theo- ries have been used to analyze the instability of economic models. Differential topology provided useful techniques for deriving results in general equilibrium analysis. But they are less aware of the central role that Felix Klein and Sophus Lie gave to group theory in the study of geometrical systems. Lie went on to show that the special methods used in solving differential equations can be classified through the study of the invariance of these equations under a continuous group of transformations. Mathematicians and physicists later recognized the relation between Lie's work on differential equations and symme- try and, combining the visions of Hamilton, Lie, Klein and Noether, embarked on a research program whose vitality is attested by the innumerable books and articles written by them as well as by biolo- gists, chemists and philosophers.

A propos du livre

Présentation de l'éditeur

Many articles and books dealing with Donald Davidson's philosophy are dedicated to the papers and ideas Davidson put forward in the `sixties and `seventies. In the last two decades, however, Davidson has continued to work in many areas of philosophy, offering new contributions, many of which are highly regarded by philosophers working in the fields concerned. For instance, Davidson has considerably developed his ideas about interpretation, theory of meaning, irreducibility of the mental, causation, and action theory; he has proposed an innovative externalist conception of the mental content and a new analysis of the concept of truth; and he has partly modified his theses about event, and the supervenience of the mental on the physical.
In Interpretations and Causes, some of the leading contemporary analytic philosophers discuss Davidson's new ideas in a lively, relevant, useful, and not always entirely sympathetic way. Davidson himself offers and original contribution.

Présentation de l'éditeur

This book contains substantially extended and revised versions of the best papers from the 12th International Conference on Enterprise Information Systems (ICEIS 2010), held in Funchal, Madeira, Portugal, June 8-12, 2010. Two invited papers are presented together with 39 contributions, which were carefully reviewed and selected from 62 full papers presented at the conference (out of 448 submissions). They reflect state-of-the-art research work that is often driven by real-world applications, thus successfully relating the academic with the industrial community. The topics covered are: databases and information systems integration, artificial intelligence and decision support systems, information systems analysis and specification, software agents and internet computing, and human-computer interaction.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 9048157862
• ISBN 13: 9789048157860
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 324
• Éditeur: Sato Ryuzo, Ramachandran Rama V.
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne