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Approximation Theory and Applications: Piecewise Linear and Generalized Functions - Couverture souple

Aliukov, Sergei

 
9780443291418: Approximation Theory and Applications: Piecewise Linear and Generalized Functions
Couverture souple
ISBN 10 : 0443291411 ISBN 13 : 9780443291418
Editeur : Academic Press Inc, 2025

Synopsis

Approximation Theory and Applications: Piecewise Linear and Generalized Functions presents the main provisions of approximation theory, and considers existing and new methods for approximating piecewise linear and generalized functions, widely used to solve problems related to mathematical modeling of systems, processes, and phenomena in fields ranging from engineering to economics. The widespread use of piecewise linear and generalized functions is explained by the simplicity of their structure. However, challenges often arise when constructing solutions over the entire domain of these functions, requiring the use special mathematical methods to put theory into practice. This book first offers a first full foundation in approximation theory as it relates to piecewise linear and generalized functions, followed by staged methods to resolve common problems in practice, with applications examined across structural mechanics, medicine, quantum theory, signal theory, semiconductor theory, mechanical engineering, heat engineering, and other fields. Later chapters consider numerical verification of approximation methods, and approximation theory as the basis for new macroeconomic theory with impulse and jump characteristics. Each chapter includes questions for review and sample problems, accompanied by a separate Solutions Manual hosted for instructor access.

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À propos de l'auteur

Sergei Aliukov is a Professor at South Ural State University, Chelyabinsk, Russia. He received his Ph.D. degree in mechanical engineering from South Ural State University in 1983 and the Doctor's degree in the field of mechanical engineering from the South Ural State University in 2005. He has more than 150 publications, and 10 inventions to his name, and his research interests include mathematical modeling processes and applications and non-linear dynamic systems. He is a Guest Editor of the Special Issue of the journal Mathematics.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Academic Press Inc
Date d'édition
2025
Langue
anglais
ISBN 10 
0443291411
ISBN 13 
9780443291418
Reliure
Broché
Nombre de pages
264
Coordonnées du fabricant
Academic Press
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