返回Google圖書搜尋

Lectures on the Fourier Transform and Its Applications

出版	American Mathematical Society, 2019
ISBN	14704497659781470449766
URL	http://books.google.com.hk/books?id=37QOyAEACAAJ&hl=&source=gbs_api

註釋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. A thoroughly enjoyable yet careful mathematical perspective of the underlying concepts and many applications of modern signal analysis. --Les Atlas, University of Washington Osgood leads his readers from the basics to the more sophisticated parts of applicable Fourier analysis with a lively style, a light touch on the technicalities, and an eye toward communications engineering. This book should be a great resource for students of mathematics, physics, and engineering alike. --Gerald B. Folland, University of Washington Fourier analysis with a swing in its step. --Tom Körner, University of Cambridge