Fourier and Wavelet Analysis 1st ed. 2000. Corr. 2nd printing 2002(Universitext) H IX, 507 p. 02
Bachmann, George,
Narici, Lawrence,
BECKENSTEIN, EDWARD
著
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在庫状況
海外在庫有り
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お届け予定日
1ヶ月
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価格
\24,178(税込)
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発行年月 |
1999年12月 |
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出版社/提供元 |
Springer-Verlag New York |
出版国 |
アメリカ合衆国 |
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言語 |
英語 |
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媒体 |
冊子 |
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装丁 |
hardcover |
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ページ数/巻数 |
IX, 507 p. |
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ジャンル |
洋書/理工学/数学/数学:概論 |
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ISBN |
9780387988993 |
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商品コード |
0209954304 |
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本の性格 |
テキスト |
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書評掲載誌 |
Choice |
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商品URL | https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0209954304 |
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内容
globalized Fejer's theorem; he showed that the Fourier series for any f E Ld-7I", 7I"] converges (C, 1) to f (t) a.e. The desire to do this was part of the reason that Lebesgue invented his integral; the theorem mentioned above was one of the first uses he made of it (Sec. 4.18). Denjoy, with the same motivation, extended the integral even further. Concurrently, the emerging point of view that things could be decom posed into waves and then reconstituted infused not just mathematics but all of science. It is impossible to quantify the role that this perspective played in the development of the physics of the nineteenth and twentieth centuries, but it was certainly great. Imagine physics without it. We develop the standard features of Fourier analysis-Fourier series, Fourier transform, Fourier sine and cosine transforms. We do NOT do it in the most elegant way. Instead, we develop it for the reader who has never seen them before. We cover more recent developments such as the discrete and fast Fourier transforms and wavelets in Chapters 6 and 7. Our treatment of these topics is strictly introductory, for the novice. (Wavelets for idiots?) To do them properly, especially the applications, would take at least a whole book.