
Lectures on the Fourier Transform and Its Applications
Brad G. Osgood(Author)
American Mathematical Society (Publisher)
Published on 30. January 2019
Book
Hardback
702 pages
978-1-4704-4191-3 (ISBN)
Description
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.
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.
Reviews / Votes
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 Korner, University of Cambridge
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
1345 gr
ISBN-13
978-1-4704-4191-3 (9781470441913)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Brad G. Osgood, Stanford University, CA.
Content
Fourier series
Fourier transform
Convolution
Distributions and their Fourier transforms
$\delta$ hard at work
Sampling and interpolation
Discrete Fourier transform
Linear time-invariant systems
$n$-Dimensional Fourier transform
A list of mathematical topics that are fair game
Complex numbers and complex exponentials
Geometric sums
Index.
Fourier transform
Convolution
Distributions and their Fourier transforms
$\delta$ hard at work
Sampling and interpolation
Discrete Fourier transform
Linear time-invariant systems
$n$-Dimensional Fourier transform
A list of mathematical topics that are fair game
Complex numbers and complex exponentials
Geometric sums
Index.