Functional equations in applied sciences [electronic resource] / Enrique Castillo, Andr
- 作者： Castillo, Enrique 1946-
- 其他作者：
- 其他題名：
- Mathematics in science and engineering ;
- 出版： Amsterdam ;Boston : Elsevier 2005.
- 叢書名： Mathematics in science and engineering ,v. 199
- 主題： Functional equations. , Electronic books , Functies (wiskunde)
- 版本：1st ed.
- ISBN： 044451788X 、 9780444517883
- URL：
An electronic book accessible through the World Wide Web; click for information
- 一般註：Electronic reproduction. Amsterdam : Elsevier Science & Technology, 2007.
- 書目註：Includes bibliographical references (p. 377-386) and index.
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讀者標籤：
- 系統號： 005163891 | 機讀編目格式
館藏資訊
摘要註
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.
內容註
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.