By
Enrique Castillo, Universidad de Santander, Spain
Andres Iglesias, Universidad de Cantabrian, Santander, Spain
Reyes Ruiz-Cobo, Universidad de Cantabria, Santander, Spain
Description
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.
Included in series
Mathematics in Science and Engineering
Mathematics in Science and Technology
Audience:
Undergraduate honors students in mathematics, and engineering as well as graduate students in artificial Intelligence, engineering and
statistics. In addition, students in Economics programs will also be interested in this book as many of the applications illustrated
are from economics fields.
