An Introduction to Fourier Analysis and Generalised Functions (Cambridge Monographs on Mechanics) - Hardcover

Lighthill, M. J.

Hardcover

ISBN 10: 0521055563 ISBN 13: 9780521055567

Publisher: Cambridge University Press, 1958

Synopsis

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.

About this title

Review

'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 mathematics. It 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

Book Description

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1958
• ISBN 10: 0521055563
• ISBN 13: 9780521055567
• Binding: Hardcover
• Language: English
• Number of pages: 88