Integral Transforms And Engineering

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Integral Transforms in Science and Engineering

Author : K. Wolf
Publisher : Springer Science & Business Media
ISBN 13 : 1475708726
Total Pages : 495 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Integral Transforms in Science and Engineering by : K. Wolf

Download or read book Integral Transforms in Science and Engineering written by K. Wolf and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral transforms are among the main mathematical methods for the solution of equations describing physical systems, because, quite generally, the coupling between the elements which constitute such a system-these can be the mass points in a finite spring lattice or the continuum of a diffusive or elastic medium-prevents a straightforward "single-particle" solution. By describing the same system in an appropriate reference frame, one can often bring about a mathematical uncoupling of the equations in such a way that the solution becomes that of noninteracting constituents. The "tilt" in the reference frame is a finite or integral transform, according to whether the system has a finite or infinite number of elements. The types of coupling which yield to the integral transform method include diffusive and elastic interactions in "classical" systems as well as the more common quantum-mechanical potentials. The purpose of this volume is to present an orderly exposition of the theory and some of the applications of the finite and integral transforms associated with the names of Fourier, Bessel, Laplace, Hankel, Gauss, Bargmann, and several others in the same vein. The volume is divided into four parts dealing, respectively, with finite, series, integral, and canonical transforms. They are intended to serve as independent units. The reader is assumed to have greater mathematical sophistication in the later parts, though.

Integral Transforms for Engineers

Author : Larry C. Andrews
Publisher : SPIE Press
ISBN 13 : 9780819432322
Total Pages : 368 pages
Book Rating : 4.4/5 (323 download)

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Book Synopsis Integral Transforms for Engineers by : Larry C. Andrews

Download or read book Integral Transforms for Engineers written by Larry C. Andrews and published by SPIE Press. This book was released on 1999 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral transform methods provide effective ways to solve a variety of problems arising in the engineering, optical, and physical sciences. Suitable as a self-study for practicing engineers and applied mathematicians and as a textbook in graduate-level courses in optics, engineering sciences, physics, and mathematics.

Integral Transforms for Engineers and Applied Mathematicians

Author : Larry C. Andrews
Publisher : MacMillan Publishing Company
ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Integral Transforms for Engineers and Applied Mathematicians by : Larry C. Andrews

Download or read book Integral Transforms for Engineers and Applied Mathematicians written by Larry C. Andrews and published by MacMillan Publishing Company. This book was released on 1988 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very Good,No Highlights or Markup,all pages are intact.

Integral Transforms and Engineering

Author : Abdon Atangana
Publisher : CRC Press
ISBN 13 : 1000867072
Total Pages : 2951 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Integral Transforms and Engineering by : Abdon Atangana

Download or read book Integral Transforms and Engineering written by Abdon Atangana and published by CRC Press. This book was released on 2023-04-19 with total page 2951 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the aim to better understand nature, mathematical tools are being used nowadays in many different fields. The concept of integral transforms, in particular, has been found to be a useful mathematical tool for solving a variety of problems not only in mathematics, but also in various other branches of science, engineering, and technology. Integral Transforms and Engineering: Theory, Methods, and Applications presents a mathematical analysis of integral transforms and their applications. The book illustrates the possibility of obtaining transfer functions using different integral transforms, especially when mapping any function into the frequency domain. Various differential operators, models, and applications are included such as classical derivative, Caputo derivative, Caputo-Fabrizio derivative, and Atangana-Baleanu derivative. This book is a useful reference for practitioners, engineers, researchers, and graduate students in mathematics, applied sciences, engineering, and technology fields.

Integral Transforms and Their Applications

Author : Lokenath Debnath
Publisher : CRC Press
ISBN 13 : 1420010913
Total Pages : 723 pages
Book Rating : 4.4/5 (2 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.

Integral Transforms and Applications

Author : Nita H. Shah
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110792850
Total Pages : 282 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Integral Transforms and Applications by : Nita H. Shah

Download or read book Integral Transforms and Applications written by Nita H. Shah and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-10-03 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents the guiding principles of Integral Transforms needed for many applications when solving engineering and science problems. As a modern approach to Laplace Transform, Fourier series and Z-Transforms it is a valuable reference for professionals and students alike.

Integral Transforms in Applied Mathematics

Author : John W. Miles
Publisher : Cambridge University Press
ISBN 13 : 9780521090681
Total Pages : 0 pages
Book Rating : 4.0/5 (96 download)

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Book Synopsis Integral Transforms in Applied Mathematics by : John W. Miles

Download or read book Integral Transforms in Applied Mathematics written by John W. Miles and published by Cambridge University Press. This book was released on 2008-11-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intermediate-level text on the use of integral transforms in applied mathematics and engineering. Existing works either cover the subject in more elementary form or are advanced treatises. In a very lucid style the author deals with the use of this important mathematical tool to solve ordinary and partial differential equations in problems in electrical circuits, mechanical vibration and wave motion, heat conduction, and fluid mechanics. The book is divided into five parts covering integral transform pairs, the Laplace transform, Fourier transforms, Hankel transforms, and finite Fourier transforms. A basic knowledge of complex variables and elementary differential equations is assumed. There are many exercises and examples drawn from the above fields, tables of the transform pairs needed in the text, and a glossary of terms with which the student may be unfamiliar. For the student who seeks further background on the subject, an annotated bibliography is provided.

Transforms and Applications Primer for Engineers with Examples and MATLAB®

Author : Alexander D. Poularikas
Publisher : CRC Press
ISBN 13 : 1420089323
Total Pages : 567 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Transforms and Applications Primer for Engineers with Examples and MATLAB® by : Alexander D. Poularikas

Download or read book Transforms and Applications Primer for Engineers with Examples and MATLAB® written by Alexander D. Poularikas and published by CRC Press. This book was released on 2018-09-03 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transforms and Applications Primer for Engineers with Examples and MATLAB® is required reading for engineering and science students, professionals, and anyone working on problems involving transforms. This invaluable primer contains the most essential integral transforms that both practicing engineers and students need to understand. It provides a large number of examples to explain the use of transforms in different areas, including circuit analysis, differential equations, signals and systems, and mechanical vibrations. Includes an appendix with suggestions and explanations to help you optimize your use of MATLAB Laplace and Fourier transforms are by far the most widely used and most useful of all integral transforms, so they are given a more extensive treatment in this book, compared to other texts that include them. Offering numerous MATLAB functions created by the author, this comprehensive book contains several appendices to complement the main subjects. Perhaps the most important feature is the extensive tables of transforms, which are provided to supplement the learning process. This book presents advanced material in a format that makes it easier to understand, further enhancing its immense value as a teaching tool for engineers and research scientists in academia and industry, as well as students in science and engineering.

Fourier Series and Integral Transforms

Author : Allan Pinkus
Publisher : Cambridge University Press
ISBN 13 : 9780521597715
Total Pages : 204 pages
Book Rating : 4.5/5 (977 download)

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Book Synopsis Fourier Series and Integral Transforms by : Allan Pinkus

Download or read book Fourier Series and Integral Transforms written by Allan Pinkus and published by Cambridge University Press. This book was released on 1997-07-10 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Textbook covering the basics of Fourier series, Fourier transforms and Laplace transforms.

Integral Transforms and Their Applications

Author : Brian Davies
Publisher : Springer Science & Business Media
ISBN 13 : 9780387953144
Total Pages : 398 pages
Book Rating : 4.9/5 (531 download)

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Book Synopsis Integral Transforms and Their Applications by : Brian Davies

Download or read book Integral Transforms and Their Applications written by Brian Davies and published by Springer Science & Business Media. This book was released on 2002-01-02 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Generalized Integral Transforms In Mathematical Finance

Author : Andrey Itkin
Publisher : World Scientific
ISBN 13 : 9811231753
Total Pages : 508 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Generalized Integral Transforms In Mathematical Finance by : Andrey Itkin

Download or read book Generalized Integral Transforms In Mathematical Finance written by Andrey Itkin and published by World Scientific. This book was released on 2021-10-12 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes several techniques, first invented in physics for solving problems of heat and mass transfer, and applies them to various problems of mathematical finance defined in domains with moving boundaries. These problems include: (a) semi-closed form pricing of options in the one-factor models with time-dependent barriers (Bachelier, Hull-White, CIR, CEV); (b) analyzing an interconnected banking system in the structural credit risk model with default contagion; (c) finding first hitting time density for a reducible diffusion process; (d) describing the exercise boundary of American options; (e) calculating default boundary for the structured default problem; (f) deriving a semi-closed form solution for optimal mean-reverting trading strategies; to mention but some.The main methods used in this book are generalized integral transforms and heat potentials. To find a semi-closed form solution, we need to solve a linear or nonlinear Volterra equation of the second kind and then represent the option price as a one-dimensional integral. Our analysis shows that these methods are computationally more efficient than the corresponding finite-difference methods for the backward or forward Kolmogorov PDEs (partial differential equations) while providing better accuracy and stability.We extend a large number of known results by either providing solutions on complementary or extended domains where the solution is not known yet or modifying these techniques and applying them to new types of equations, such as the Bessel process. The book contains several novel results broadly applicable in physics, mathematics, and engineering.

Integral Transforms and their Applications

Author : B. Davies
Publisher : Springer Science & Business Media
ISBN 13 : 1489926917
Total Pages : 427 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Integral Transforms and their Applications by : B. Davies

Download or read book Integral Transforms and their Applications written by B. Davies and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: In preparing this second edition I have restricted myself to making small corrections and changes to the first edition. Two chapters have had extensive changes made. First, the material of Sections 14.1 and 14.2 has been rewritten to make explicit reference to the book of Bleistein and Handelsman, which appeared after the original Chapter 14 had been written. Second, Chapter 21, on numerical methods, has been rewritten to take account of comparative work which was done by the author and Brian Martin, and published as a review paper. The material for all of these chapters was in fact, prepared for a transla tion of the book. Considerable thought has been given to a much more com prehensive revision and expansion of the book. In particular, there have been spectacular advances in the solution of some non-linear problems using isospectra1 methods, which may be re garded as a generalization of the Fourier transform. However, the subject is a large one, and even a modest introduction would have added substantially to the book. Moreover, the recent book by Dodd et al. is at a similar level to the present volume. Similarly, I have refrained from expanding the chapter on num erical methods into a complete new part of the book, since a specialized monograph on numerical methods is in preparation in collaboration with a colleague.

Integral Transform Techniques for Green's Function

Author : Kazumi Watanabe
Publisher : Springer
ISBN 13 : 331917455X
Total Pages : 274 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Integral Transform Techniques for Green's Function by : Kazumi Watanabe

Download or read book Integral Transform Techniques for Green's Function written by Kazumi Watanabe and published by Springer. This book was released on 2015-04-20 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes mathematical techniques for integral transforms in a detailed but concise manner. The techniques are subsequently applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. Green’s functions for beams, plates and acoustic media are also shown, along with their mathematical derivations. The Cagniard-de Hoop method for double inversion is described in detail and 2D and 3D elastodynamic problems are treated in full. This new edition explains in detail how to introduce the branch cut for the multi-valued square root function. Further, an exact closed form Green’s function for torsional waves is presented, as well as an application technique of the complex integral, which includes the square root function and an application technique of the complex integral.

Integral Transforms and Engineering

Author : Abdon Atangana
Publisher : CRC Press
ISBN 13 : 1000867056
Total Pages : 472 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Integral Transforms and Engineering by : Abdon Atangana

Download or read book Integral Transforms and Engineering written by Abdon Atangana and published by CRC Press. This book was released on 2023-04-19 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the aim to better understand nature, mathematical tools are being used nowadays in many different fields. The concept of integral transforms, in particular, has been found to be a useful mathematical tool for solving a variety of problems not only in mathematics, but also in various other branches of science, engineering, and technology. Integral Transforms and Engineering: Theory, Methods, and Applications presents a mathematical analysis of integral transforms and their applications. The book illustrates the possibility of obtaining transfer functions using different integral transforms, especially when mapping any function into the frequency domain. Various differential operators, models, and applications are included such as classical derivative, Caputo derivative, Caputo-Fabrizio derivative, and Atangana-Baleanu derivative. This book is a useful reference for practitioners, engineers, researchers, and graduate students in mathematics, applied sciences, engineering, and technology fields.

An Introduction to Integral Transforms and Their Applications

Author : Olga Moreira
Publisher : Arcler Press
ISBN 13 : 9781773615547
Total Pages : 0 pages
Book Rating : 4.6/5 (155 download)

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Book Synopsis An Introduction to Integral Transforms and Their Applications by : Olga Moreira

Download or read book An Introduction to Integral Transforms and Their Applications written by Olga Moreira and published by Arcler Press. This book was released on 2018-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourier, Laplace, Mellin, Hilbert, and Hankel transforms are classic examples of integral equations with numerous applications in several fields of science and engineering, When mapping a function from one domain into another, integral transforms provide an elegant solution for many mathematical problems that are algebraically difficult to solve in their original domain but of simpler solution in the target domain. The Fourier transform, for example, maps an original signal (represented by a function of time) into its coresponding power spectrum in the frequency domain. Therefore, the Fourier transform plays an essential role in data analysis of periodic signals, decomposing the incoming signal into the frequencies that its consists of. The Laplace transform converts a convolution in the original domain into a simple multiplication in the target domain. This transform has extensive applications in the fields of engineering and physics research involving the analysis of time-invariant systems in which the output signal is calculated as the convolution between the impulse response and the input signal. Many applications of probability theory also rely on integral transforms, such as statistics that are based on kernel functions. This book is a collection of contemporary open access articles which highlight the importance of integral transforms and their applications. In particular, three topics are discussed: Analysis of generalized functions for integral transform and their properties; Methods for solving the Cauchy problem (initial value or boundary problems) for space-time partial differential equations; Applications of integral transform, including fractional methods, to solving systems of differential equations in physics, signal processing, quantum mechanics and mechanical engineering. The generalization of global estimates for various integral transforms is discussed by Vindas & Estrada (2006). The properties kernels of Laplace-typed integral transform and q-Laplace transforms were studied by Kim (2017) and Naik & Haubold (2016), respectively. Transform methods for convex polygons are derived by Crowdy (2015); the analysis of singular integral equations (Li, 2017); matrix integral transforms (Yaremko & Yaremko, 2016), Sumudu transforms (Rahman & Ahmad, 2015) are also included in this book. The remaining content of this book focuses on applications of the integral transform as a method for solving various differential equations. This book is mainly addressed to physicists, advanced undergraduate and graduate students in the Natural Sciences and Mechanical Engineering. Book jacket.

An Introduction to Integral Transforms

Author : Baidyanath Patra
Publisher : CRC Press
ISBN 13 : 0429994338
Total Pages : 389 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis An Introduction to Integral Transforms by : Baidyanath Patra

Download or read book An Introduction to Integral Transforms written by Baidyanath Patra and published by CRC Press. This book was released on 2018-02-13 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'An Introduction to Integral Transforms' is meant for students pursuing graduate and post graduate studies in Science and Engineering. It contains discussions on almost all transforms for normal users of the subject. The content of the book is explained from a rudimentary stand point to an advanced level for convenience of its readers. Pre‐requisite for understanding the subject matter of the book is some knowledge on the complex variable techniques. Please note: Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.

Integral Transforms and Their Applications

Author : B. Davies
Publisher : Springer Science & Business Media
ISBN 13 : 1475755120
Total Pages : 427 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Integral Transforms and Their Applications by : B. Davies

Download or read book Integral Transforms and Their Applications written by B. Davies and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems. It has its im mediate origin in lecture notes prepared for senior level courses at the Australian National University, although I owe a great deal to my colleague Barry Ninham, a matter to which I refer below. In preparing the notes for publication as a book, I have added a considerable amount of material ad- tional to the lecture notes, with the intention of making the book more useful, particularly to the graduate student - volved in the solution of mathematical problems in the physi cal, chemical, engineering and related sciences. Any book is necessarily a statement of the author's viewpoint, and involves a number of compromises. My prime consideration has been to produce a work whose scope is selective rather than encyclopedic; consequently there are many facets of the subject which have been omitted--in not a few cases after a preliminary draft was written--because I v believe that their inclusion would make the book too long.