Functional Equations in Applied Sciences 1st Edition by Enrique Castillo, Andrés Iglesias, Reyes Ruíz-Cobo 1423742074 9781423742074

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Product details:

ISBN 10: 1423742074 

ISBN 13: 9781423742074

Author:   Enrique Castillo, Andrés Iglesias, Reyes Ruíz-Cobo 

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.

Functional Equations in Applied Sciences 1st Table of contents:

1. Introduction and Motivation
2. Functional Networks
3. Some Methods for Solving Functional Equations
4. Applications to Science and Engineering
5. Equations for One Function of One Variable
6. 35 Applications to Geometry and CAGD
7. Equations with Several Functions in One Variable
8. 57 Applications to Economics
9. Equation for One Function of Several Variables
10. Applications to Probability and Statistics
11. Equations with Functions of Several Variables
12. Bibliography
13. Functional Equations and Differential Equations
14. Mathematics in Science and Engineering
15. Vector and Matrix Equations
16. Applications of Functional Equations
17. Functional Networks
18. Applications to Science and Engineering
19. Applications to Geometry and CAGD
20. Applications to Economics
21. Applications to Probability and Statistics
22. Bibliography
23. Index

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Tags: Functional Equations, Applied Sciences, Enrique Castillo, Andrés Iglesias, Reyes Ruíz Cobo