An Introduction to Fourier Analysis and Generalised Functions

By M.J. Lighthill and H. J. Lighthill

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: B00D78RHFS
• ISBN13: 9780521091282
• Release Date: January 2008
• Publisher: Cambridge University Press
• Length: 108 Pages
• Weight: 0.30 lbs.
• Dimensions: 0.3" x 6.2" x 8.7"

Customer Reviews

Great for self study

Nice little book. Concise and clear. In the typical English style, many of the proofs are left to the reader. Lighhill will assume what he finds obvious is also obvious to the reader. This was not always the case for me. He does this alot in the proving theorems so have a pencil ready. It is alot fun to work through the proofs becuase he gives rough sketches and leaves you to fill in the details. He manages this without loss of clarity or rigor. It is good pedagogy for anyone familiar with basic analysis of real variables and some knowledge of complex variables.