Lectures on the Fourier transform and its applications

著者

    • Osgood, Brad G.

書誌事項

Lectures on the Fourier transform and its applications

Brad G. Osgood

(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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