Functional Equations To Applied Sciences - Couverture rigide

Castillo, Enrique; Iglesias, Andres; Ruiz-Cobo, Reyes

Couverture rigide

ISBN 10 : 044451788X ISBN 13 : 9780444517883

Editeur : Elsevier Science Ltd, 2004

Synopsis

The book provides the reader with the different types of functional equations that s/he can find in practice, showing, step by step, how they can be solved.
A general methodology for solving functional equations is provided in Chapter 2. The different types of functional equations are described and solved in Chapters 3 to 8. Many examples, coming from different fields, as geometry, science, engineering, economics, probability, statistics, etc, help the reader to change his/her mind in order to state problems as functional equations as an alternative to differential equations, and to state new problems in terms of functional equations or systems.
An interesting feature of the book is that it deals with functional networks, a powerful generalization of neural networks that allows solving many practical problems. The second part of the book, Chapters 9 to 13, is devoted to the applications of this important paradigm.
The book contains many examples and end of chapter exercises, that facilitates the understanding of the concepts and applications.

A propos du livre

Présentation de l'éditeur

The book provides the reader with the different types of functional equations that s/he can find in practice, showing, step by step, how they can be solved.
A general methodology for solving functional equations is provided in Chapter 2. The different types of functional equations are described and solved in Chapters 3 to 8. Many examples, coming from different fields, as geometry, science, engineering, economics, probability, statistics, etc, help the reader to change his/her mind in order to state problems as functional equations as an alternative to differential equations, and to state new problems in terms of functional equations or systems.
An interesting feature of the book is that it deals with functional networks, a powerful generalization of neural networks that allows solving many practical problems. The second part of the book, Chapters 9 to 13, is devoted to the applications of this important paradigm.
The book contains many examples and end of chapter exercises, that facilitates the understanding of the concepts and applications.

· A general methodology for solving functional equations is provided in Chapter 2.
· It deals with functional networks, a powerful generalization of neural networks.
· Many examples, coming from different fields, as geometry, science, engineering, economics, probability, statistics, etc, illustrate the concept of functional equation.
· Functional equations are presented as a powerful alternative to differential equations.
· The book contains end of chapter exercises.

Revue de presse

"...the main strengths of this book are (a)its collection of solution methods for standard FE and (b)a substantial number of examples and applications that help make FE more accessible to people who are comfortable with standard methods of analysis (real, complex, differential equations, difference equations) but with little or no background in FE."
-MATHEMATICAL REVIEWS

Détails de l'édition

• Éditeur: Elsevier Science Ltd
• Date d'édition: 2004
• Langue: anglais
• ISBN 10: 044451788X
• ISBN 13: 9780444517883
• Reliure: Relié
• Nombre de pages: 408
• Coordonnées du fabricant: non disponible
• Personne responsable: Barbara Criscuolo; b.criscuolo@lswr.it; ; Via Spadolini, 7; Milano; 20141; Italie