Operational Calculus and Related Topics (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&#324;ski's theory of convolution quotients, operator functions, and the sequential approach to the theory of generalized functions. Benefits... ·nbsp;nbsp;nbsp;nbsp;nbsp;nbsp;nbsp;nbsp; Discusses theory and applications of integral transforms ·nbsp;nbsp;nbsp;nbsp;nbsp;nbsp;nbsp;nbsp; Gives inversion, complex-inversion, and Dirac's delta distribution formulas, among others ·nbsp;nbsp;nbsp;nbsp;nbsp;nbsp;nbsp;nbsp; 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.

Science & Math

Prudnikov, A. P.

Skórnik, K.A.

Mathematics

Chapman and Hall/CRC

A concise monograph by two Russian experts provides an account of the operational calculus in two variables based on the two-dimensional Laplace transform. Suitable for advanced undergraduates and graduate students in mathematics, the treatment requires some familiarity with operational calculus in one variable.Part One of the two-part approach presents the fundamental theory in two chapters, examining the two-dimensional Laplace transform and offering basic definitions and theorems of the operational calculus in two variables and its applications. Part Two presents tables of formulae for various categories of functions, including rational and irrational functions; exponential and logarithmic functions; cylinder, integral, and confluent hypergeometric functions; and other areas.

Operational Calculus in Two Variables and Its Applications (Dover Books on Mathematics)

Ditkin, V.A.

Dover Publications

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.

Integrals and Series: Volume 1: Elementary Functions; Volume 2: Special Functions

CRC-Press

Continuing the ''impressive tabulation of definite and indefinite integrals, as well as partial and total summations of series'' (Choice), the third volume in this series provides a wealth of information on more functins-Struve, Wever, Anger, Laguerre, Bateman and Legendre-to name a few.

Integrals Series: More Special Functions

See the best price to sell, buy, or rent books by Prudnikov, A. P.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Prudnikov, A. P.

See the best price to sell, buy, or rent books by Prudnikov, A. P.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Operational Calculus and Related Topics (Analytical Methods and Special Functions)

Operational Calculus in Two Variables and Its Applications (Dover Books on Mathematics)

Operational Calculus and Related Topics (Analytical Methods and Special Functions)

Integrals and Series: Volume 1: Elementary Functions; Volume 2: Special Functions

Integrals Series: More Special Functions