An Introduction To Fourier Methods And The Laplace Transformation
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An Introduction To Fourier Methods And The Laplace Transformation
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Author : Philip Franklin
language : en
Publisher:
Release Date : 1958
An Introduction To Fourier Methods And The Laplace Transformation written by Philip Franklin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Fourier series categories.
An Introduction To Fourier Methods And The Laplace Transformation
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Author : Sir N. F. (Nevill Francis) Mott
language : en
Publisher:
Release Date : 1958
An Introduction To Fourier Methods And The Laplace Transformation written by Sir N. F. (Nevill Francis) Mott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with categories.
An Introduction To Laplace Transforms And Fourier Series
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Author : Phil Dyke
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-03-24
An Introduction To Laplace Transforms And Fourier Series written by Phil Dyke 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 2014-03-24 with Mathematics categories.
In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets. Only knowledge of elementary trigonometry and calculus are required as prerequisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.
An Introduction To Laplace Transforms And Fourier Series
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Author : P.P.G. Dyke
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Laplace Transforms And Fourier Series written by P.P.G. Dyke 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 2012-12-06 with Mathematics categories.
This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.
Fourier And Laplace Transforms
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Author :
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-07
Fourier And Laplace Transforms written by 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 2003-08-07 with Mathematics categories.
This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science.
An Introduction To Fourier Analysis
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Author : Russell L. Herman
language : en
Publisher: CRC Press
Release Date : 2016-09-19
An Introduction To Fourier Analysis written by Russell L. Herman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-19 with Mathematics categories.
This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields of mathematics, science, and engineering. This introductory textbook was written with mathematics, science, and engineering students with a background in calculus and basic linear algebra in mind. It can be used as a textbook for undergraduate courses in Fourier analysis or applied mathematics, which cover Fourier series, orthogonal functions, Fourier and Laplace transforms, and an introduction to complex variables. These topics are tied together by the application of the spectral analysis of analog and discrete signals, and provide an introduction to the discrete Fourier transform. A number of examples and exercises are provided including implementations of Maple, MATLAB, and Python for computing series expansions and transforms. After reading this book, students will be familiar with: • Convergence and summation of infinite series • Representation of functions by infinite series • Trigonometric and Generalized Fourier series • Legendre, Bessel, gamma, and delta functions • Complex numbers and functions • Analytic functions and integration in the complex plane • Fourier and Laplace transforms. • The relationship between analog and digital signals Dr. Russell L. Herman is a professor of Mathematics and Professor of Physics at the University of North Carolina Wilmington. A recipient of several teaching awards, he has taught introductory through graduate courses in several areas including applied mathematics, partial differential equations, mathematical physics, quantum theory, optics, cosmology, and general relativity. His research interests include topics in nonlinear wave equations, soliton perturbation theory, fluid dynamics, relativity, chaos and dynamical systems.
An Introduction To Fourier Methods And The Laplace Transformations
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Author : P. Franklin
language : en
Publisher:
Release Date : 1958
An Introduction To Fourier Methods And The Laplace Transformations written by P. Franklin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with categories.
An Introduction To Fast Fourier Transform Methods For Partial Differential Equations With Applications
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Author : Morgan Pickering
language : en
Publisher: John Wiley & Sons
Release Date : 1986-11-28
An Introduction To Fast Fourier Transform Methods For Partial Differential Equations With Applications written by Morgan Pickering 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 1986-11-28 with Mathematics categories.
Fast Fourier transform (FFT) methods are well established for solving certain types of partial differential equations (PDE). This book is written at an introductory level with the non-specialist user in mind. It first deals with basic ideas and algorithms which may be used to solve problems using simple geometries--the fast Fourier transform is employed and thorough details of the computations are given for a number of illustrative problems. The text proceeds to problems with irregular boundaries, using the capacity matrix approach, and also to more advanced PDE, for which fast solvers may be used as the basis for iterative methods. The use of a numerical Laplace transform technique for certain time-dependent problems is also covered. Throughout the book, the approach is designed to illustrate the essential ideas of the methods employed. References are given for further reading of more advanced or specialized topics.
An Introduction To The Laplace Transformation With Engineering Applications
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Author : John Conrad Jaeger
language : en
Publisher:
Release Date : 1970
An Introduction To The Laplace Transformation With Engineering Applications written by John Conrad Jaeger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Laplace transformation categories.
Fourier Series And Integral Transforms
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Author : Allan Pinkus
language : en
Publisher: Cambridge University Press
Release Date : 1997-07-10
Fourier Series And Integral Transforms written by Allan Pinkus 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 1997-07-10 with Mathematics categories.
Textbook covering the basics of Fourier series, Fourier transforms and Laplace transforms.