Mathematics in Science and Engineering

Volume 199

By: Enrique Castillo, Andres Iglesias, Reyes Ruiz-Cobo

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Hardcover | 15 February 2007

At a Glance

Hardcover
408 Pages

Dimensions(cm)
23.39 x 15.6 x 2.39

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$498.75

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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.

Industry Reviews

"...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

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Applied Mathematics Computing & I.T.Computer Science Artificial Intelligence Neural Networks & Fuzzy Systems

Preface
Functional Equations
Introduction and motivation
Some methods for solving functional equations
Equations for one function of one variable
Equations with several functions in one variable
Equation for one function of several variables
Equations with functions of several variables
Functional equations and differential equations
Vector and matrix equations
Applications of Functional Equations
Functional Networks
Applications to Science and Engineering
Applications to Geometry and CAGD
Applications to Economics
Applications to Probability and Statistics
Table of Contents provided by Publisher. All Rights Reserved.

Mathematics in Science and Engineering

Volume 199

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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