Integral Transformations, Operational Calculus and Their Applications

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Publisher : MDPI
ISBN 13 : 3039368826
Total Pages : 220 pages
Book Rating : 4.22/5 ( download)

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Book Synopsis Integral Transformations, Operational Calculus and Their Applications by : Hari Mohan Srivastava

Download or read book Integral Transformations, Operational Calculus and Their Applications written by Hari Mohan Srivastava and published by MDPI. This book was released on 2021-01-20 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.

Integral Transformations, Operational Calculus and Their Applications

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Publisher :
ISBN 13 : 9783039368839
Total Pages : 220 pages
Book Rating : 4.34/5 ( download)

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Book Synopsis Integral Transformations, Operational Calculus and Their Applications by : Hari Mohan Srivastava

Download or read book Integral Transformations, Operational Calculus and Their Applications written by Hari Mohan Srivastava and published by . This book was released on 2020 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.

Integral Transforms and Operational Calculus

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Publisher : MDPI
ISBN 13 : 303921618X
Total Pages : 510 pages
Book Rating : 4.85/5 ( download)

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Book Synopsis Integral Transforms and Operational Calculus by : H. M. Srivastava

Download or read book Integral Transforms and Operational Calculus written by H. M. Srivastava and published by MDPI. This book was released on 2019-11-20 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Integral Transformation, Operational Calculus and Their Applications

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Author :
Publisher : Mdpi AG
ISBN 13 : 9783036554815
Total Pages : 0 pages
Book Rating : 4.15/5 ( download)

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Book Synopsis Integral Transformation, Operational Calculus and Their Applications by : Hari Mohan Srivastava

Download or read book Integral Transformation, Operational Calculus and Their Applications written by Hari Mohan Srivastava and published by Mdpi AG. This book was released on 2022-11-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance and usefulness of subjects and topics involving integral transformations and operational calculus are becoming widely recognized, not only in the mathematical sciences but also in the physical, biological, engineering and statistical sciences. This book contains invited reviews and expository and original research articles dealing with and presenting state-of-the-art accounts of the recent advances in these important and potentially useful subjects.

Integral Transforms and Their Applications

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Author :
Publisher : CRC Press
ISBN 13 : 1420010913
Total Pages : 723 pages
Book Rating : 4.16/5 ( download)

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Book Synopsis Integral Transforms and Their Applications by : Lokenath Debnath

Download or read book Integral Transforms and Their Applications written by Lokenath Debnath and published by CRC Press. This book was released on 2016-04-19 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keeping the style, content, and focus that made the first edition a bestseller, Integral Transforms and their Applications, Second Edition stresses the development of analytical skills rather than the importance of more abstract formulation. The authors provide a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. The second edition includes many new applications, exercises, comments, and observations with some sections entirely rewritten. It contains more than 500 worked examples and exercises with answers as well as hints to selected exercises. The most significant changes in the second edition include: New chapters on fractional calculus and its applications to ordinary and partial differential equations, wavelets and wavelet transformations, and Radon transform Revised chapter on Fourier transforms, including new sections on Fourier transforms of generalized functions, Poissons summation formula, Gibbs phenomenon, and Heisenbergs uncertainty principle A wide variety of applications has been selected from areas of ordinary and partial differential equations, integral equations, fluid mechanics and elasticity, mathematical statistics, fractional ordinary and partial differential equations, and special functions A broad spectrum of exercises at the end of each chapter further develops analytical skills in the theory and applications of transform methods and a deeper insight into the subject A systematic mathematical treatment of the theory and method of integral transforms, the book provides a clear understanding of the subject and its varied applications in mathematics, applied mathematics, physical sciences, and engineering.

Theory and Applications of Integral Transformations and Operational Calculus

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Author :
Publisher : Willford Press
ISBN 13 : 9781647285319
Total Pages : 0 pages
Book Rating : 4.13/5 ( download)

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Book Synopsis Theory and Applications of Integral Transformations and Operational Calculus by : Jocelyn Cole

Download or read book Theory and Applications of Integral Transformations and Operational Calculus written by Jocelyn Cole and published by Willford Press. This book was released on 2023-09-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integral transform maps a function from its original function space onto another function space by integration in which some of the features of the original function could be easier to manipulate and characterize than in the original function space. The function which is transformed can be traced back to the original function generally, through the inverse transform. An integral transform traces an equation from the original domain in the other domain; where solving and manipulating the equation is much easier as compared to the original domain. Operational calculus is a method which transforms differential equations into algebraic problems. The theory of integral transformations and related operational calculus has applications in a variety of fields including physical sciences, engineering, mathematical sciences, statistics and chemical sciences. This book explores all the important aspects of integral transformations and operational calculus. It is meant for students who are looking for an elaborate reference text on the theory and applications of integral transformations and operational calculus.

Integral Transforms and Their Applications, Third Edition

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Publisher : CRC Press
ISBN 13 : 1482223570
Total Pages : 820 pages
Book Rating : 4.76/5 ( download)

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Book Synopsis Integral Transforms and Their Applications, Third Edition by : Lokenath Debnath

Download or read book Integral Transforms and Their Applications, Third Edition written by Lokenath Debnath and published by CRC Press. This book was released on 2014-11-07 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral Transforms and Their Applications, Third Edition covers advanced mathematical methods for many applications in science and engineering. The book is suitable as a textbook for senior undergraduate and first-year graduate students and as a reference for professionals in mathematics, engineering, and applied sciences. It presents a systematic development of the underlying theory as well as a modern approach to Fourier, Laplace, Hankel, Mellin, Radon, Gabor, wavelet, and Z transforms and their applications. New to the Third Edition New material on the historical development of classical and modern integral transforms New sections on Fourier transforms of generalized functions, the Poisson summation formula, the Gibbs phenomenon, and the Heisenberg uncertainty principle Revised material on Laplace transforms and double Laplace transforms and their applications New examples of applications in mechanical vibrations, electrical networks, quantum mechanics, integral and functional equations, fluid mechanics, mathematical statistics, special functions, and more New figures that facilitate a clear understanding of physical explanations Updated exercises with solutions, tables of integral transforms, and bibliography Through numerous examples and end-of-chapter exercises, this book develops readers’ analytical and computational skills in the theory and applications of transform methods. It provides accessible working knowledge of the analytical methods and proofs required in pure and applied mathematics, physics, and engineering, preparing readers for subsequent advanced courses and research in these areas.

Operational Calculus and Related Topics

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Publisher : CRC Press
ISBN 13 : 1420011499
Total Pages : 420 pages
Book Rating : 4.94/5 ( download)

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Book Synopsis Operational Calculus and Related Topics by : A. P. Prudnikov

Download or read book Operational Calculus and Related Topics written by A. P. Prudnikov and published by CRC Press. This book was released on 2006-08-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Integral Transformations, Operational Calculus, and Generalized Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 1461312833
Total Pages : 248 pages
Book Rating : 4.33/5 ( download)

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Book Synopsis Integral Transformations, Operational Calculus, and Generalized Functions by : R.G. Buschman

Download or read book Integral Transformations, Operational Calculus, and Generalized Functions written by R.G. Buschman and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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".

Multidimensional Integral Transformations

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Publisher : CRC Press
ISBN 13 : 9782881248399
Total Pages : 404 pages
Book Rating : 4.9X/5 ( download)

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Book Synopsis Multidimensional Integral Transformations by :

Download or read book Multidimensional Integral Transformations written by and published by CRC Press. This book was released on 1992 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cross between a textbook and a monograph, this extensive introduction discusses all of the most important transformations, compiling information otherwise scattered throughout the literature. Attention is concentrated on the operational calculus of the major integral transformations and some of its applications, with an investigation of transforms in spaces of functions and of distributions. Annotation copyrighted by Book News, Inc., Portland, OR