Approximation Theory and Applications: Piecewise Linear and Generalized Functions - Brossura

Aliukov, Sergei

Brossura

ISBN 10: 0443291411 ISBN 13: 9780443291418

Casa editrice: Academic Pr, 2025

Riassunto

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.

Su questo libro

Informazioni sull?autore

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.

Dettagli dell'edizione

• Editore: Academic Pr
• Data di pubblicazione: 2025
• Lingua: Inglese
• ISBN 10: 0443291411
• ISBN 13: 9780443291418
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 304
• Contatto del produttore: Academic Press; https://shop.elsevier.com/; ; 230 PARK AVENUE, SUITE 800; NY; NY; 10169; U.S.A.
• Persona responsabile: non disponibile