Integral Transforms in Science and Engineering

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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 and Their Applications, Third Edition

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Publisher : CRC Press
ISBN 13 : 1482223570
Total Pages : 820 pages
Book Rating : 4.4/5 (822 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.

Integral Transforms for Engineers

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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

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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 Their Applications

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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

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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.

An Introduction to Integral Transforms and Their Applications

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Author :
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.

Integral Transforms and Their Applications

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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.

Integral Transform Methods Science Engin

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Publisher :
ISBN 13 : 9789386310910
Total Pages : pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Integral Transform Methods Science Engin by : S. K. PUNDIR

Download or read book Integral Transform Methods Science Engin written by S. K. PUNDIR and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Transforms and Engineering

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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.

Transforms and Applications Primer for Engineers with Examples and MATLAB®

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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.

Distributions in the Physical and Engineering Sciences, Volume 1

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Publisher : Springer
ISBN 13 : 3319979582
Total Pages : 347 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences, Volume 1 by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences, Volume 1 written by Alexander I. Saichev and published by Springer. This book was released on 2018-08-29 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practitioners and researchers. The goal of the book is to give the reader, specialist and non-specialist usable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. The present, softcover reprint is designed to make this classic textbook available to a wider audience.

An Introduction to Integral Transforms

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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.

Fourier Series and Integral Transforms

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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

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Publisher : I K International Pvt Ltd
ISBN 13 : 9390620570
Total Pages : 442 pages
Book Rating : 4.3/5 (96 download)

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Book Synopsis Integral Transforms by : Sanjeev Kumar

Download or read book Integral Transforms written by Sanjeev Kumar and published by I K International Pvt Ltd. This book was released on 2023-06-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral transform plays a vital role in the study of many applied engineering topics. Laplace transform and Fourier transform are basic tools to solve these problems. Fourier transform is only able to retrieve the global frequency content of a signal while the time information is lost. This book covers fundamental concepts of various integral transforms to understand and solve many applications in science and engineering. The book is suitable as a textbook for graduate, postgraduate students of applied science and engineering 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 transform, Laplace transform, Hankel transform, Mellin transform, wavelet, and Z - transforms with their simple problems to solve and apply to develop various biomedical life saving tools.

Application of Integral Transforms in Mathematical Physics and Engineering Book

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Publisher : Shineeks Publishers
ISBN 13 :
Total Pages : 59 pages
Book Rating : 4.8/5 (894 download)

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Book Synopsis Application of Integral Transforms in Mathematical Physics and Engineering Book by : Dr. Sarita Poonia

Download or read book Application of Integral Transforms in Mathematical Physics and Engineering Book written by Dr. Sarita Poonia and published by Shineeks Publishers. This book was released on 2023-04-14 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, readers will explore the fundamental concepts and applications of integral transformations, including Laplace, Fourier, and Mellin transforms, among others. With clear explanations and real-world examples, this book provides a deep understanding of the power and versatility of integral transformations. Whether you’re a student, researcher, or practitioner in the fields of mathematics or engineering physics, this book is an invaluable resource for understanding and applying integral transformations to a wide range of problems.

Applied Laplace Transforms and z-Transforms for Scientists and Engineers

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Publisher : Birkhäuser
ISBN 13 : 303487846X
Total Pages : 501 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Applied Laplace Transforms and z-Transforms for Scientists and Engineers by : Urs Graf

Download or read book Applied Laplace Transforms and z-Transforms for Scientists and Engineers written by Urs Graf and published by Birkhäuser. This book was released on 2012-12-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. Laplace transformation methods provide easy and effective techniques for solving many problems arising in various fields of science and engineering, especially for solving differential equations. What the Laplace transformation does in the field of differential equations, the z-transformation achieves for difference equations. The two theories are parallel and have many analogies. Laplace and z transformations are also referred to as operational calculus, but this notion is also used in a more restricted sense to denote the operational calculus of Mikusinski. This book does not use the operational calculus of Mikusinski, whose approach is based on abstract algebra and is not readily accessible to engineers and scientists. The symbolic computation capability of Mathematica can now be used in favor of the Laplace and z-transformations. The first version of the Mathematica Package LaplaceAndzTransforrns developed by the author appeared ten years ago. The Package computes not only Laplace and z-transforms but also includes many routines from various domains of applications. Upon loading the Package, about one hundred and fifty new commands are added to the built-in commands of Mathematica. The code is placed in front of the already built-in code of Laplace and z-transformations of Mathematica so that built-in functions not covered by the Package remain available. The Package substantially enhances the Laplace and z-transformation facilities of Mathematica. The book is mainly designed for readers working in the field of applications.