Operational Calculus and Related Topics - Brossura

Prudnikov, A. P.; Skórnik, K.A.

Brossura

ISBN 10: 0367390493 ISBN 13: 9780367390495

Casa editrice: Chapman and Hall/CRC, 2019

Riassunto

Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advances in the field.

Combining the best features of a textbook and a monograph, this volume presents an introduction to operational calculus, integral transforms, and generalized functions, the backbones of pure and applied mathematics. The text examines both the analytical and algebraic aspects of operational calculus and includes a comprehensive survey of classical results while stressing new developments in the field. Among the historical methods considered are Oliver Heaviside’s algebraic operational calculus and Paul Dirac’s delta function. Other discussions deal with the conditions for the existence of integral transforms, Jan Mikusiński’s theory of convolution quotients, operator functions, and the sequential approach to the theory of generalized functions.

Benefits…

· Discusses theory and applications of integral transforms

· Gives inversion, complex-inversion, and Dirac’s delta distribution formulas, among others

· Offers a short survey of actual results of finite integral transforms, in particular convolution theorems

Because Operational Calculus and Related Topics provides examples and illustrates the applications to various disciplines, it is an ideal reference for mathematicians, physicists, scientists, engineers, and students.

Su questo libro

Informazioni sull'autore

A. P. Prudnikov, K.A. Skórnik

Dalla quarta di copertina

Integral transforms, operational calculus, and generalized functions are the backbone of many branches of pure and applied mathematics. Combining the best features of a textbook and a monograph, Operational Calculus and Related Topics provides an introduction to these subjects. The book includes a comprehensive survey of classical results and highlights recent advances in the field. Including applications to various disciplines, this text considers both the analytical as well as the algebraic aspects of operational calculus, making it ideal for mathematicians, physicists, students, scientists, and engineers applying such mathematical methods and performing research in a wide range of areas.

Dettagli dell'edizione

• Editore: Chapman and Hall/CRC
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 0367390493
• ISBN 13: 9780367390495
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 420
• Contatto del produttore: Taylor and Francis, GPSR Taylor and Francis; gpsr@taylorandfrancis.com; ; Taylor & Francis Verlag GmbH, Kaufingerstraße 24; München; 80331; Germania