Author(s): M. J. Lighthill; J. Ockendon (Contribution by); P. J. Olver (Contribution by); G. K. Batchelor (Contribution by); S. Davis (Contribution by); L. B. Freud (Contribution by); S. Leibovich (Contribution by); V. Tvergaard (Contribution by); M. J. Ablowitz (Contribution by); E. J. Hinch (Contribution by); A. Iserles (Contribution by)

Science

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.