An Introduction to Fourier Analysis and Generalised Functions (Paperback) (ISBN-13: 9780521091282)

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.

Author: M. J. Lighthill
ISBN-10: 0521091284
ISBN-13: 9780521091282
Publisher: Cambridge University Press
Language: English
Published: 01/01/1958
Pages: 108
Format: Paperback
Weight: 0.32lbs
Size: 8.66h x 6.20w x 0.29d