| 書目名稱 | Fourier Analysis and Its Applications | | 編輯 | Anders Vretblad,S. Axler,F. W. Gehring,K. A. Ribet | | 視頻video | http://file.papertrans.cn/348/347239/347239.mp4 | | 概述 | Includes supplementary material: | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | 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. | | 出版日期 | Textbook 2003 | | 關鍵詞 | Fourier series; Fourier transform; calculus; differential equation; discrete Fourier transform | | 版次 | 1 | | doi | https://doi.org/10.1007/b97452 | | isbn_softcover | 978-1-4419-1841-3 | | isbn_ebook | 978-0-387-21723-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 2003 |
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