| 書目名稱 | Functions, Spaces, and Expansions | | 副標題 | Mathematical Tools i | | 編輯 | Ole Christensen | | 視頻video | http://file.papertrans.cn/350/349912/349912.mp4 | | 概述 | Collected topics represent a wide foundation of applied mathematical tools not often found together in one book.Interdisciplinary approach provides students the mathematical tools required for studyin | | 叢書名稱 | Applied and Numerical Harmonic Analysis | | 圖書封面 |  | | 描述 | .This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. A central theme of the book is the structure of various vector spaces—most importantly, Hilbert spaces—and expansions of elements in these spaces in terms of bases..Key topics and features include:.* More than 150 exercises.* Abstract and normed vector spaces.* Approximation in normed vector spaces.* Hilbert and Banach spaces.* General bases and orthonormal bases.* Linear operators on various normed spaces.* The Fourier transform, including the discrete Fourier transform.* Wavelets and multiresolution analysis.* B-splines.* Sturm–Liouville problems.As a textbook that provides a deep understanding of central issues in mathematical analysis, .Functions, Spaces, and Expansion | | 出版日期 | Textbook 2010 | | 關鍵詞 | Analysis; Fourier transform; Hilbert space; Wavelet; discrete Fourier transform; linear algebra; linear op | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-4980-7 | | isbn_ebook | 978-0-8176-4980-7Series ISSN 2296-5009 Series E-ISSN 2296-5017 | | issn_series | 2296-5009 | | copyright | Springer Science+Business Media, LLC 2010 |
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書目名稱Functions, Spaces, and Expansions被引頻次
書目名稱Functions, Spaces, and Expansions被引頻次學科排名
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