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An Introduction to Fourier Analysis and Generalised Functions

An Introduction to Fourier Analysis and Generalised Functions

Paperback

Series: Cambridge Monographs on Mechanics

General Mathematics

ISBN10: 0521091284
ISBN13: 9780521091282
Publisher: Cambridge University Press
Published: Jan 1 1958
Pages: 108
Weight: 0.32
Height: 0.29 Width: 6.20 Depth: 8.66
Language: English
This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students, and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple, widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients.

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General Mathematics