Functional Equations in Applied Sciences
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.
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Functional Equations in Applied Sciences
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.
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Functional Equations in Applied Sciences

Functional Equations in Applied Sciences

Functional Equations in Applied Sciences

Functional Equations in Applied Sciences

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Overview

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.

Product Details

ISBN-13: 9780444517883
Publisher: Elsevier Science
Publication date: 12/13/2004
Series: Mathematics in Science and Engineering , #199
Pages: 408
Product dimensions: 6.00(w) x 9.00(h) x (d)

Table of Contents

Preface.

I. Functional Equations.

1. Introduction and motivation
2. Some methods for solving functional equations.
3. Equations for one function of one variable.
4. Equations with several functions in one variable.
5. Equation for one function of several variables.
6. Equations with functions of several variables.
7. Functional equations and differential equations.
8. Vector and matrix equations.

II. Applications of Functional Equations.

9. Functional Networks.
10. Applications to Science and Engineering.
11. Applications to Geometry and CAGD.
12. Applications to Economics.
13. Applications to Probability and Statistics.

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The continuation of the Mathematics in Science and Engineering MISE, "red series" under the editorship of Prof. Charles Chui, Stanford, USA.

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