Integral Transforms and Operational Calculus [by] V.A. Ditkin and A.P. Prudnikov PDF Download

Author: Vitaliǐ Arsen'evich Ditkin
Publisher:
ISBN:
Category : Calculus, Operational
Languages : en
Pages : 529

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Author: Vitaliĭ Arsenʹevich Ditkin
Publisher: Pergamon
ISBN:
Category : Mathematics
Languages : en
Pages : 568

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Book Description
Fourier transforms -- Laplace transforms -- Bessel transforms -- Other integral transforms -- Operational calculus -- Summary of notation for special functions and certain constraints -- Fourier cosine transforms -- Fourier sine transforms -- Laplace-Carson transforms -- Mellin transforms -- Bessel transforms -- Other integral transforms.

Author: Vitalii Arsen'evich Ditkin
Publisher:
ISBN:
Category :
Languages : en
Pages : 529

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Author: V. A. Ditkin
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description

Author: Vitaliĭ Arsenʹevich Ditkin
Publisher: Pergamon
ISBN:
Category : Mathematics
Languages : en
Pages : 604

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Book Description
Fourier transforms -- Laplace transforms -- Bessel transforms -- Other integral transforms -- Operational calculus -- Summary of notation for special functions and certain constraints -- Fourier cosine transforms -- Fourier sine transforms -- Laplace-Carson transforms -- Mellin transforms -- Bessel transforms -- Other integral transforms.

Author: A. P. Prudnikov
Publisher: CRC Press
ISBN: 1420011499
Category : Mathematics
Languages : en
Pages : 420

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Book 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 advan

Author: R.G. Buschman
Publisher: Springer Science & Business Media
ISBN: 1461312833
Category : Mathematics
Languages : en
Pages : 248

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Book Description
It is not the object of the author to present comprehensive cov erage of any particular integral transformation or of any particular development of generalized functions, for there are books available in which this is done. Rather, this consists more of an introductory survey in which various ideas are explored. The Laplace transforma tion is taken as the model type of an integral transformation and a number of its properties are developed; later, the Fourier transfor mation is introduced. The operational calculus of Mikusinski is pre sented as a method of introducing generalized functions associated with the Laplace transformation. The construction is analogous to the construction of the rational numbers from the integers. Further on, generalized functions associated with the problem of extension of the Fourier transformation are introduced. This construction is anal ogous to the construction of the reals from the rationals by means of Cauchy sequences. A chapter with sections on a variety of trans formations is adjoined. Necessary levels of sophistication start low in the first chapter, but they grow considerably in some sections of later chapters. Background needs are stated at the beginnings of each chapter. Many theorems are given without proofs, which seems appro priate for the goals in mind. A selection of references is included. Without showing many of the details of rigor it is hoped that a strong indication is given that a firm mathematical foundation does actu ally exist for such entities as the "Dirac delta-function".

Author: V.A. Ditkin
Publisher: Courier Dover Publications
ISBN: 0486818497
Category : Mathematics
Languages : en
Pages : 177

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Book Description
Concise treatment of fundamental theory explores two-dimensional Laplace transform and basic definitions, theorems, applications of operational calculus in two variables. Includes tables of formulae for various categories of functions. 1962 edition.

Author: Brian Davies
Publisher: Springer Science & Business Media
ISBN: 1468492837
Category : Mathematics
Languages : en
Pages : 380

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Book Description
This is a substantially updated, extended and reorganized third edition of an introductory text on the use of integral transforms. Chapter I is largely new, covering introductory aspects of complex variable theory. Emphasis is on the development of techniques and the connection between properties of transforms and the kind of problems for which they provide tools. Around 400 problems are accompanied in the text. It will be useful for graduate students and researchers working in mathematics and physics.

Author: H. M. Srivastava
Publisher: MDPI
ISBN: 303921618X
Category : Technology & Engineering
Languages : en
Pages : 510

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Book Description
Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. This Special Issue contains a total of 36 carefully-selected and peer-reviewed articles which are authored by established researchers from many countries. Included in this Special Issue are review, expository and original research articles dealing with the recent advances on the topics of integral transforms and operational calculus as well as their multidisciplinary applications