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Titlebook: Functions, Spaces, and Expansions; Mathematical Tools i Ole Christensen Textbook 2010 Springer Science+Business Media, LLC 2010 Analysis.Fo

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書目名稱Functions, Spaces, and Expansions
副標題Mathematical Tools i
編輯Ole Christensen
視頻videohttp://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Titlebook: Functions, Spaces, and Expansions; Mathematical Tools i Ole Christensen Textbook 2010 Springer Science+Business Media, LLC 2010 Analysis.Fo
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(guān)鍵詞Analysis; Fourier transform; Hilbert space; Wavelet; discrete Fourier transform; linear algebra; linear op
版次1
doihttps://doi.org/10.1007/978-0-8176-4980-7
isbn_ebook978-0-8176-4980-7Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightSpringer Science+Business Media, LLC 2010
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