Operational Calculus and Related Topics: 10 (Analytical Methods and Special Functions) - Softcover

Book 5 of 7: Analytical Methods and Special Functions

Prudnikov, A. P.; Skórnik, K.A.

 
9780367390495: Operational Calculus and Related Topics: 10 (Analytical Methods and Special Functions)
Softcover
ISBN 10: 0367390493 ISBN 13: 9780367390495
Publisher: Chapman and Hall/CRC, 2019

Synopsis

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.

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About the Author

A. P. Prudnikov, K.A. Skórnik

"About this title" may belong to another edition of this title.

Publisher
Chapman and Hall/CRC
Publication date
2019
Language
English
ISBN 10 
0367390493
ISBN 13 
9780367390495
Binding
Paperback
Edition number
1
Number of pages
420

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9781584886495: Operational Calculus and Related Topics: 10 (Analytical Methods and Special Functions)

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ISBN 10:  1584886498 ISBN 13:  9781584886495
Publisher: Chapman and Hall/CRC, 2019
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