An Introduction to Fourier Analysis and Generalised Functions PDF Download
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Author: Sir M. J. Lighthill
Publisher: Cambridge University Press
ISBN: 9780521091282
Category : Mathematics
Languages : en
Pages : 112
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Book Description
"Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof...." Science Progress
Author: Sir M. J. Lighthill
Publisher: Cambridge University Press
ISBN: 9780521091282
Category : Mathematics
Languages : en
Pages : 112
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Book Description
"Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof...." Science Progress
Author: Sir M. J. Lighthill
Publisher:
ISBN:
Category : Fourier analysis
Languages : en
Pages : 96
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Book Description
Author: David W. Kammler
Publisher: Cambridge University Press
ISBN: 0521883407
Category : Mathematics
Languages : en
Pages : 863
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Book Description
This book introduces applied mathematics through Fourier analysis, with applications to studying sampling theory, PDEs, probability, diffraction, musical tones, and wavelets.
Author: M. J. Lighthill
Publisher:
ISBN:
Category :
Languages : en
Pages : 79
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Book Description
Author: M. J. Lighthill
Publisher:
ISBN:
Category :
Languages : en
Pages : 79
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Book Description
Author: Sir M J Lighthill
Publisher: Hassell Street Press
ISBN: 9781013715624
Category :
Languages : en
Pages : 92
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Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Russell L. Herman
Publisher: CRC Press
ISBN: 1498773710
Category : Mathematics
Languages : en
Pages : 402
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Book Description
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.
Author: Rupert Lasser
Publisher: CRC Press
ISBN: 100010527X
Category : Mathematics
Languages : en
Pages : 300
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Book Description
This work addresses all of the major topics in Fourier series, emphasizing the concept of approximate identities and presenting applications, particularly in time series analysis. It stresses throughout the idea of homogenous Banach spaces and provides recent results. Techniques from functional analysis and measure theory are utilized.;College and university bookstores may order five or more copies at a special student price, available on request from Marcel Dekker, Inc.
Author: Robert D. Stuart
Publisher:
ISBN:
Category : Fourier analysis
Languages : en
Pages : 132
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Book Description
Author: Robert T. Seeley
Publisher: Courier Corporation
ISBN: 0486151794
Category : Mathematics
Languages : en
Pages : 116
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Book Description
A compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley focuses on results of greatest significance to modern readers. Starting with a physical problem, Dr. Seeley sets up and analyzes the mathematical modes, establishes the principal properties, and then proceeds to apply these results and methods to new situations. The chapter on Fourier transforms derives analogs of the results obtained for Fourier series, which the author applies to the analysis of a problem of heat conduction. Numerous computational and theoretical problems appear throughout the text.
