Fourier Analysis and Its Applications
Vretblad, Anders
| Autor: | Vretblad, Anders |
|---|---|
| Veröffentlichungsdatum: | 29.11.2010 |
| EAN: | 9781441918413 |
| Sprache: | Englisch |
| Seitenzahl: | 288 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer New York Springer US Springer US, New York, N.Y. |
Produktinformationen "Fourier Analysis and Its Applications"
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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