Operational Calculus and Related Topics

A. P. Prudnikov, K.A. Skórnik, K.A. Skornik

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English

Chapman & Hall/CRC
15 August 2006

Calculus

Series: Analytical Methods and Special Functions

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 Mikusi ski's theory of convolution quotients, operator functions, and the sequential approach to the theory of generalized functions. Benefits!
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Discusses theory and applications of integral transforms
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Gives inversion, complex-inversion, and Dirac's delta distribution formulas, among others
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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.

By: A. P. Prudnikov, K.A. Skórnik, K.A. Skornik
Imprint: Chapman & Hall/CRC
Country of Publication: United States
Volume: v. 10
Dimensions: Height: 254mm, Width: 178mm, Spine: 28mm
Weight: 907g
ISBN: 9781584886495
ISBN 10: 1584886498
Series: Analytical Methods and Special Functions
Pages: 420
Publication Date: 15 August 2006
Audience: College/higher education , A / AS level
Format: Hardback
Publisher's Status: Active

Prudnikov, A. P.; Skórnik, K.A.