An Introduction to Fourier Analysis and Generalised Functions
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.
年:
1964
出版商:
Cambridge University Press
語言:
english
頁數:
88
系列:
Cambridge Monographs on Mechanics
文件:
DJVU, 1.01 MB
IPFS:
,
english, 1964