Lectures on the Fourier Transform and Its Applications

This book is derived from lecture notes for a course on Fourier analysis for engineering and science students at the advanced undergraduate or beginning graduate level.

Beyond teaching specific topics and techniques--all of which are important in many areas of engineering and science--the author's goal is to help engineering and science students cultivate more advanced mathematical know-how and increase confidence in learning and using mathematics, as well as appreciate the coherence of the subject.

He promises the readers a little magic on every page. The section headings are all recognizable to mathematicians, but the arrangement and emphasis are directed toward students from other disciplines.

The material also serves as a foundation for advanced courses in signal processing and imaging.

There are over 200 problems, many of which are oriented to applications, and a number use standard software.

An unusual feature for courses meant for engineers is a more detailed and accessible treatment of distributions and the generalized Fourier transform.

There is also more coverage of higher-dimensional phenomena than is found in most books at this level.