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Multivariate Approximation (Cambridge Monographs on Applied and Computational Mathematic, Vol. 32) '18
Temlyakov, V.
著
発行年月 |
2018年07月 |
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出版国 |
イギリス |
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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 |
550 p., 12 b/w illus. |
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ジャンル |
洋書/理工学/数学/解析学 |
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ISBN |
9781108428750 |
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商品コード |
1026207284 |
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本の性格 |
学術書 |
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新刊案内掲載月 |
2018年01月 |
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商品URL
| https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1026207284 |
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内容
This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is directly related to deep problems in other areas of mathematics. For example, numerical integration of these classes is closely related to discrepancy theory and to nonlinear approximation with respect to special redundant dictionaries, and estimates of the entropy numbers of classes with mixed smoothness are closely related to (in some cases equivalent to) the Small Ball Problem from probability theory. The useful background material included in the book makes it accessible to graduate students. Researchers will find that the many open problems in the theory outlined in the book provide helpful directions and guidance for their own research in this exciting and active area.