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Functional equations in applied sciences

紀錄類型:	書目-電子資源 : 單行本
正題名/作者:	Functional equations in applied sciences/ Enrique Castillo, Andr�es Iglesias, Reyes Ru�iz-Cobo.
作者:	Castillo, Enrique,
其他作者:	Ruiz-Cobo, Maria Reyes,
出版者:	Amsterdam ;Elsevier, : 2005.,
面頁冊數:	xiii, 391 p. :ill. ; : 24 cm.;
叢書名:	Mathematics in science and engineering,
標題:	Functional equations. -
電子資源:	An electronic book accessible through the World Wide Web; click for information
ISBN:	9780444517883

Functional equations in applied sciences
Castillo, Enrique,1946-

Functional equations in applied sciences[electronic resource] /Enrique Castillo, Andr�es Iglesias, Reyes Ru�iz-Cobo. - 1st ed. - Amsterdam ;Elsevier,2005. - xiii, 391 p. :ill. ;24 cm. - Mathematics in science and engineering,v. 1990076-5392 ;.

Includes bibliographical references (p. 377-386) and index.

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.

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.

Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2007.

Mode of access: World Wide Web.

ISBN: 9780444517883

Source: 110298:110347Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

134444
Functional equations.
Index Terms--Genre/Form:

96803
Electronic books.

LC Class. No.: QA431 / .C38 2005eb

Dewey Class. No.: 515/.75

Functional equations in applied sciences
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300 $a xiii, 391 p. : $b ill. ; $c 24 cm.
440 0 $a Mathematics in science and engineering, $x 0076-5392 ; $v v. 199
504 $a Includes bibliographical references (p. 377-386) and index.
505 0 $a 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.
520 $a 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.
533 $a Electronic reproduction. $b Amsterdam : $c Elsevier Science & Technology, $d 2007. $n Mode of access: World Wide Web. $n System requirements: Web browser. $n Title from title screen (viewed on July 25, 2007). $n Access may be restricted to users at subscribing institutions.
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