
Operational Calculus and Related Topics
Chapman & Hall/CRC (Publisher)
1st Edition
Published on 15. August 2006
Book
Hardback
420 pages
978-1-58488-649-5 (ISBN)
Description
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 Mikusinski'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.
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 Mikusinski'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.
More details
Series
Language
English
Place of publication
Oxford
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Mathematicians, physicists, engineers, and students.
Dimensions
Height: 260 mm
Width: 183 mm
Thickness: 27 mm
Weight
981 gr
ISBN-13
978-1-58488-649-5 (9781584886495)
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Schweitzer Classification
Other editions
Additional editions

A. P. Prudnikov | K.A. Skornik
Operational Calculus and Related Topics
Book
09/2019
1st Edition
Chapman & Hall/CRC
€94.10
Shipment within 15-20 days

A. P. Prudnikov | K.A. Skornik
Operational Calculus and Related Topics
E-Book
08/2006
Chapman & Hall/CRC
€89.99
Available for download

A. P. Prudnikov | K.A. Skornik
Operational Calculus and Related Topics
E-Book
08/2006
Chapman and Hall
€89.99
Available for download
Persons
Prudnikov, A. P.; Skornik, K.A.
Content
Integral Transforms. Operational Calculus. Generalized Functions.