Transform Calculus
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A Laplace Transform Calculus For Partial Differential Operators
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Author : Thomas Donaldson
language : en
Publisher: American Mathematical Soc.
Release Date : 1974
A Laplace Transform Calculus For Partial Differential Operators written by Thomas Donaldson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Boundary value problems categories.
This monograph is concerned with the properties of rational functions with coefficients which are partial differential operators; the Laplace transform calculus will follow from these properties in a standard way once the properties themselves have been established. A general existence theory for a class of hypoelliptic linear partial differential boundary problems is also developed.
Complex Variable Theory And Transform Calculus
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Author : M. W. McLachlan
language : en
Publisher: Cambridge University Press
Release Date : 2012-01-26
Complex Variable Theory And Transform Calculus written by M. W. McLachlan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-26 with Mathematics categories.
This book, first published in 1939, updated in 1953, explores the applications to mathematical problems in various branches of technology.
Transform Calculus
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Author : Edward Joseph Scott
language : en
Publisher:
Release Date : 1955
Transform Calculus written by Edward Joseph Scott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Functions of complex variables categories.
Integral Transforms And Their Applications
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Author : Lokenath Debnath
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Integral Transforms And Their Applications written by Lokenath Debnath and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
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.
Advanced Calculus
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Author : Edward Walsh
language : en
Publisher: Trafford on Demand Pub
Release Date : 2006-01
Advanced Calculus written by Edward Walsh and has been published by Trafford on Demand Pub this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01 with Mathematics categories.
The Laplace Transform is used to solve initial value problems involving differential equations. All steps included. Conventional methods are also discussed.
Integral Transforms And Their Applications Third Edition
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Author : Lokenath Debnath
language : en
Publisher: CRC Press
Release Date : 2014-11-07
Integral Transforms And Their Applications Third Edition written by Lokenath Debnath and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-07 with Mathematics categories.
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.
Integral Transforms And Operational Calculus
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Author : H. M. Srivastava
language : en
Publisher: MDPI
Release Date : 2019-11-20
Integral Transforms And Operational Calculus written by H. M. Srivastava and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-20 with Technology & Engineering categories.
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 Transforms And Operational Calculus
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Author : Vitaliĭ Arsenʹevich Ditkin
language : en
Publisher: Pergamon
Release Date : 1965
Integral Transforms And Operational Calculus written by Vitaliĭ Arsenʹevich Ditkin and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Mathematics categories.
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.
Complex Variables And Transform Calculus
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Author : Matiur Rahman
language : en
Publisher: Southhampton, UK : Computational Mechanics Publications
Release Date : 1997
Complex Variables And Transform Calculus written by Matiur Rahman and has been published by Southhampton, UK : Computational Mechanics Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Based on a series of lectures given by the author this text is designed for undergraduate students with an understanding of vector calculus, solution techniques of ordinary and partial differential equations and elementary knowledge of integral transforms. It will also be an invaluable reference to scientists and engineers who need to know the basic mathematical development of the theory of complex variables in order to solve field problems. The theorems given are well illustrated with examples.
Laplace Transforms And Their Applications To Differential Equations
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Author : N.W. McLachlan
language : en
Publisher: Courier Corporation
Release Date : 2014-11-19
Laplace Transforms And Their Applications To Differential Equations written by N.W. McLachlan and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-19 with Mathematics categories.
This introduction to modern operational calculus offers a classic exposition of Laplace transform theory and its application to the solution of ordinary and partial differential equations. The treatment is addressed to graduate students in engineering, physics, and applied mathematics and may be used as a primary text or supplementary reading. Chief topics include the theorems or rules of the operational calculus, evaluation of integrals and establishment of mathematical relationships, derivation of Laplace transforms of various functions, the Laplace transform for a finite interval, and other subjects. Many problems and illustrative examples appear throughout the book, which is further augmented by helpful Appendixes. Dover (2014) republication of the 1962 (Dover) revised edition of Modern Operational Calculus with Applications in Technical Mathematics, Macmillan, London, 1948. See every Dover book in print at www.doverpublications.com