An Introduction to Fourier Analysis and Generalised...

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An Introduction to Fourier Analysis and Generalised Functions

M. J. Lighthill
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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.
Yıl:
1964
Yayımcı:
Cambridge University Press
Dil:
english
Sayfalar:
88
Seriler:
Cambridge Monographs on Mechanics
Dosya:
DJVU, 1.01 MB
IPFS:
CID , CID Blake2b
english, 1964
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