Boundary Value Problems And Fourier Expansions
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Boundary Value Problems And Fourier Expansions
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Author : Charles R. MacCluer
language : en
Publisher: Courier Corporation
Release Date : 2013-01-18
Boundary Value Problems And Fourier Expansions written by Charles R. MacCluer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-18 with Mathematics categories.
Based on modern Sobolev methods, this text integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. 2004 edition. Includes 64 figures. Exercises.
Boundary Value Problems And Orthogonal Expansions
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Author : C. R. MacCluer
language : en
Publisher: Institute of Electrical & Electronics Engineers(IEEE)
Release Date : 1994
Boundary Value Problems And Orthogonal Expansions written by C. R. MacCluer and has been published by Institute of Electrical & Electronics Engineers(IEEE) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
For a first course in the topic using the modern, norm-based Sobolev techniques not currently available in published format. Major concepts are presented with minimal possible detail and details are pushed into the exercises, omitted, or postponed until later sections. Includes worked examples of pr
Partial Differential Equations With Fourier Series And Boundary Value Problems
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Author : Nakhlé H. Asmar
language : en
Publisher: Prentice Hall
Release Date : 2005
Partial Differential Equations With Fourier Series And Boundary Value Problems written by Nakhlé H. Asmar and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Boundary value problems categories.
This example-rich reference fosters a smooth transition from elementary ordinary differential equations to more advanced concepts. Asmar's relaxed style and emphasis on applications make the material accessible even to readers with limited exposure to topics beyond calculus. Encourages computer for illustrating results and applications, but is also suitable for use without computer access. Contains more engineering and physics applications, and more mathematical proofs and theory of partial differential equations, than the first edition. Offers a large number of exercises per section. Provides marginal comments and remarks throughout with insightful remarks, keys to following the material, and formulas recalled for the reader's convenience. Offers Mathematica files available for download from the author's website. A useful reference for engineers or anyone who needs to brush up on partial differential equations.
Fourier Series And Boundary Value Problems
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Author : Ruel V. Churchill
language : en
Publisher:
Release Date : 1969
Fourier Series And Boundary Value Problems written by Ruel V. Churchill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Expansions In Eigenfunctions Of Selfadjoint Operators
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Author : I͡Uriĭ Makarovich Berezanskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 1968
Expansions In Eigenfunctions Of Selfadjoint Operators written by I͡Uriĭ Makarovich Berezanskiĭ 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 1968 with Boundary value problems categories.
Partial Differential Equations With Fourier Series And Boundary Value Problems
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Author : Nakhle H. Asmar
language : en
Publisher: Courier Dover Publications
Release Date : 2017-03-23
Partial Differential Equations With Fourier Series And Boundary Value Problems written by Nakhle H. Asmar and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-23 with Mathematics categories.
Rich in proofs, examples, and exercises, this widely adopted text emphasizes physics and engineering applications. The Student Solutions Manual can be downloaded free from Dover's site; the Instructor Solutions Manual is available upon request. 2004 edition, with minor revisions.
Elementary Boundary Value Problems
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Author : Theodore A. Bick
language : en
Publisher: CRC Press
Release Date : 1993-02-17
Elementary Boundary Value Problems written by Theodore A. Bick and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-17 with Mathematics categories.
This textbook elucidates the role of BVPs as models of scientific phenomena, describes traditional methods of solution and summarizes the ideas that come from the solution techniques, centering on the concept of orthonormal sets of functions as generalizations of the trigonometric functions. To reinforce important concepts, the book contains exercises that range in difficulty from routine applications of the material just covered to extensions of that material.;Emphasizing the unifying nature of the material, this book: constructs physical models for both bounded and unbounded domains using rectangular and other co-ordinate systems; develops methods of characteristics, eigenfunction expansions, and transform procedures using the traditional fourier series, D'Alembert's method , and fourier integral transforms; makes explicit connections with linear algebra, analysis, complex variables, set theory, and topology in response to the need to solve BVP's employing Sturm-Liouville ststems as the primary vehicle; and presents illustrative examples in science and engineering, such as versions of the wave, diffusion equations and Laplace's equations.;Providing fundamental definitions for students with no prior experience in this topic other than differential equations, this text is intended as a resource for upper-level undergraduates in mathematics, physics and engineering, and students on courses on boundary value problems.
Fourier Series And Boundary Value Problems
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Author : James Ward Brown
language : en
Publisher: McGraw-Hill Science, Engineering & Mathematics
Release Date : 2001
Fourier Series And Boundary Value Problems written by James Ward Brown and has been published by McGraw-Hill Science, Engineering & Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Juvenile Nonfiction categories.
Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations.
Fourier Methods In Science And Engineering
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Author : Wen Li
language : en
Publisher: CRC Press
Release Date : 2022-11-21
Fourier Methods In Science And Engineering written by Wen Li and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-21 with Technology & Engineering categories.
This innovative book discusses and applies the generalized Fourier Series to a variety of problems commonly encountered within science and engineering, equipping the readers with a clear pathway through which to use the Fourier methods as a solution technique for a wide range of differential equations and boundary value problems. Beginning with an overview of the conventional Fourier series theory, this book introduces the generalized Fourier series (GFS), emphasizing its notable rate of convergence when compared to the conventional Fourier series expansions. After systematically presenting the GFS as a powerful and unified solution method for ordinary differential equations and partial differential equations, this book expands on some representative boundary value problems, diving into their multiscale characteristics. This book will provide readers with the comprehensive foundation necessary for solving a wide spectrum of mathematical problems key to practical applications. It will also be of interest to researchers, engineers, and college students in various science, engineering, and mathematics fields.
Boundary Value Problems
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Author : David L. Powers
language : en
Publisher:
Release Date : 1999
Boundary Value Problems written by David L. Powers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Boundary Value Problems, Fourth Edition, continues to be the leading text on boundary value problems and Fourier series. The author, David Powers, has written a thorough, theoretical overview of solving partial differential equations by the methods of separation of variables. The text is comprised of five comprehensive parts which include: a prerequisite summary of ordinary differential equations, Fourier series, and solving linear partial differential equations by separation of variable methods, by Laplace transform methods, and by numerical methods. Professors and students agree that the author is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering problems.