Integral Transforms In Science And Engineering
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Integral Transforms In Science And Engineering
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Author : K. Wolf
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21
Integral Transforms In Science And Engineering written by K. Wolf and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Social Science categories.
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
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Author : Larry C. Andrews
language : en
Publisher: SPIE Press
Release Date : 1999
Integral Transforms For Engineers written by Larry C. Andrews and has been published by SPIE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
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.
An Introduction To Integral Transforms And Their Applications
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Author : Olga Moreira
language : en
Publisher: Arcler Press
Release Date : 2018-12
An Introduction To Integral Transforms And Their Applications written by Olga Moreira and has been published by Arcler Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12 with Mathematics categories.
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.
Introduction To Partial Differential Equations For Scientists And Engineers Using Mathematica
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Author : Kuzman Adzievski
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Introduction To Partial Differential Equations For Scientists And Engineers Using Mathematica written by Kuzman Adzievski 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.
With special emphasis on engineering and science applications, this textbook provides a mathematical introduction to the field of partial differential equations (PDEs). The text represents a new approach to PDEs at the undergraduate level by presenting computation as an integral part of the study of differential equations. The authors use the computer software Mathematica (R) along with graphics to improve understanding and interpretation of concepts. The book also presents solutions to selected examples as well as exercises in each chapter. Topics include Laplace and Fourier transforms as well as Sturm-Liuville Boundary Value Problems.
An Introduction To Integral Transforms
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Author : Baidyanath Patra
language : en
Publisher: CRC Press
Release Date : 2018-02-13
An Introduction To Integral Transforms written by Baidyanath Patra and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-13 with Mathematics categories.
'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 Transform Methods Science Engin
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Author : S. K. PUNDIR
language : en
Publisher:
Release Date : 2017
Integral Transform Methods Science Engin written by S. K. PUNDIR and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
Linear Partial Differential Equations For Scientists And Engineers
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Author : Tyn Myint-U
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-05
Linear Partial Differential Equations For Scientists And Engineers written by Tyn Myint-U and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-05 with Mathematics categories.
This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.
Essential Mathematical Methods For Physicists Ise
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Author : Hans J. Weber
language : en
Publisher: Academic Press
Release Date : 2004
Essential Mathematical Methods For Physicists Ise written by Hans J. Weber and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This new adaptation of Arfken and Weber's best-selling Mathematical Methods for Physicists, fifth edition, is the most modern collection of mathematical principles for solving physics problems.
Mathematical Methods For Physicists International Student Edition
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Author : George B. Arfken
language : en
Publisher: Elsevier
Release Date : 2005-07-05
Mathematical Methods For Physicists International Student Edition written by George B. Arfken and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-05 with Mathematics categories.
This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. - Updates the leading graduate-level text in mathematical physics - Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering - Focuses on problem-solving skills and offers a vast array of exercises - Clearly illustrates and proves mathematical relations New in the Sixth Edition: - Updated content throughout, based on users' feedback - More advanced sections, including differential forms and the elegant forms of Maxwell's equations - A new chapter on probability and statistics - More elementary sections have been deleted
Essentials Of Mathematical Methods In Science And Engineering
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Author : Selcuk S. Bayin
language : en
Publisher: John Wiley & Sons
Release Date : 2019-11-27
Essentials Of Mathematical Methods In Science And Engineering written by Selcuk S. Bayin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-27 with Mathematics categories.
A comprehensive introduction to the multidisciplinary applications of mathematical methods, revised and updated The second edition of Essentials of Mathematical Methods in Science and Engineering offers an introduction to the key mathematical concepts of advanced calculus, differential equations, complex analysis, and introductory mathematical physics for students in engineering and physics research. The book’s approachable style is designed in a modular format with each chapter covering a subject thoroughly and thus can be read independently. This updated second edition includes two new and extensive chapters that cover practical linear algebra and applications of linear algebra as well as a computer file that includes Matlab codes. To enhance understanding of the material presented, the text contains a collection of exercises at the end of each chapter. The author offers a coherent treatment of the topics with a style that makes the essential mathematical skills easily accessible to a multidisciplinary audience. This important text: • Includes derivations with sufficient detail so that the reader can follow them without searching for results in other parts of the book • Puts the emphasis on the analytic techniques • Contains two new chapters that explore linear algebra and its applications • Includes Matlab codes that the readers can use to practice with the methods introduced in the book Written for students in science and engineering, this new edition of Essentials of Mathematical Methods in Science and Engineering maintains all the successful features of the first edition and includes new information.