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<図書>
Functional equations in applied sciences

責任表示 Enrique Castillo, Andrés Iglesias, Reyes Ruíz-Cobo
シリーズ Mathematics in science and engineering : a series of monographs and textbooks ; v. 199
データ種別 図書
出版情報 Amsterdam ; Boston : Elsevier , 2005
本文言語 英語
大きさ xiii, 391 p. : ill. ; 24 cm
概要 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 functiona... 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. 続きを見る

所蔵情報



理系図1F 開架 413/C 25 2005
027212006000276

書誌詳細

著者標目 *Castillo, Enrique, 1946-
Iglesias, Ignacio
Ruiz-Cobo, Maria Reyes, 1966-
件 名 LCSH:Functional equations
分 類 LCC:QA431
DC22:515/.75
書誌ID 1001277002
ISBN 044451788X
NCID BA7033031X
巻冊次 ISBN:044451788X
登録日 2009.09.18
更新日 2017.02.18

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