Introduction to Fourier Analysis and Generalised Functions.
Lighthill, M. J., Sir.
Introduction to Fourier Analysis and Generalised Functions. - 79 p. illus. 22 cm. - Cambridge monographs on mechanics and applied mathematics. .
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.
58014674
GB58-3952
Fourier series.
Functions.
QA404 / .L72 1980
517.35 517.2*
Introduction to Fourier Analysis and Generalised Functions. - 79 p. illus. 22 cm. - Cambridge monographs on mechanics and applied mathematics. .
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.
58014674
GB58-3952
Fourier series.
Functions.
QA404 / .L72 1980
517.35 517.2*