An Introduction to Fourier Analysis and Generalised Functions by M J Lighthill

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An Introduction to Fourier Analysis and Generalised Functions by M J Lighthill

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.
'An extremely lucid and well-written account … a stimulating and valuable addition to the literature of applied mathematics, with a good deal of the charm of eighteenth-century mathematicsIt may well become a minor classic before very long.' George Weiss, Science
'Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof … the book should be well within the compass of an honours student in mathematics or theoretical physics, and they are most strongly urged to buy it and read it.' Science Progess
SKU Unavailable
ISBN 13 9780521091282
ISBN 10 0521091284
Title An Introduction to Fourier Analysis and Generalised Functions
Author M J Lighthill
Series Cambridge Monographs On Mechanics
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 1958-01-01
Number of pages 108
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.