Lectures on the Fourier transform and its applications
著者
書誌事項
Lectures on the Fourier transform and its applications
（The Sally series, . Pure and applied undergraduate texts ; 33）
American Mathematical Society, c2019
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注記
Includes index
内容説明・目次
内容説明
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.
目次
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.
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