Fourier Analysis and Its Applications PDF
by Anders Vretblad
Part of the Graduate Texts in Mathematics series
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TheclassicaltheoryofFourierseriesandintegrals,aswellasLaplacetra- forms, is of great importance for physical and technical applications, and its mathematical beauty makes it an interesting study for pure mathema- cians as well.
I have taught courses on these subjects for decades to civil engineeringstudents,andalsomathematicsmajors,andthepresentvolume can be regarded as my collected experiences from this work.
There is, of course, an unsurpassable book on Fourier analysis, the tr- tise by Katznelson from 1970.
That book is, however, aimed at mathem- ically very mature students and can hardly be used in engineering courses.
Ontheotherendofthescale,thereareanumberofmore-or-lesscookbo- styled books, where the emphasis is almost entirely on applications.
I have felt the need for an alternative in between these extremes: a text for the ambitious and interested student, who on the other hand does not aspire to become an expert in the ?eld.
There do exist a few texts that ful?ll these requirements (see the literature list at the end of the book), but they do not include all the topics I like to cover in my courses, such as Laplace transforms and the simplest facts about distributions.
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- Format:PDF
- Publisher:Springer New York
- Publication Date:18/04/2006
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- ISBN:9780387217239
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Download Now
- Format:PDF
- Publisher:Springer New York
- Publication Date:18/04/2006
- Category:
- ISBN:9780387217239