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Titlebook: Sturm-Liouville Theory and its Applications; M. A. Al-Gwaiz Textbook 2008 Springer-Verlag London 2008 Fourier analysis.Fourier integral.Fo

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發(fā)表于 2025-3-21 18:26:19 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Sturm-Liouville Theory and its Applications
編輯M. A. Al-Gwaiz
視頻videohttp://file.papertrans.cn/882/881135/881135.mp4
概述Provides a rigorous introduction to the theory at a level suitable for undergraduates.Includes plenty of clearly-worked examples and exercises with solutions thereby making the book well-suited for se
叢書名稱Springer Undergraduate Mathematics Series
圖書封面Titlebook: Sturm-Liouville Theory and its Applications;  M. A. Al-Gwaiz Textbook 2008 Springer-Verlag London 2008 Fourier analysis.Fourier integral.Fo
描述.Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L.2.. The treatment relies heavily on the convergence properties of sequences and series of numbers as well as functions, and assumes a solid background in advanced calculus and an acquaintance with ordinary differential equations and linear algebra. Familiarity with the relevant theorems of real analysis, such as the Ascoli–Arzelà theorem, is also useful for following the proofs...The presentation follows a clear and rigorous mathematical style that is both readable and well motivated, with many examples and applications used to illustrate the theory. Although addressed primarily to undergraduate students of mathematics, the book will also be of interest to students in related disciplines, such as physics and engineering, where Fourier analysis and special functions are used extensively for solving linear differential equations..
出版日期Textbook 2008
關(guān)鍵詞Fourier analysis; Fourier integral; Fourier series; Fourier transform; Mathematical methods; Special func
版次1
doihttps://doi.org/10.1007/978-1-84628-972-9
isbn_softcover978-1-84628-971-2
isbn_ebook978-1-84628-972-9Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightSpringer-Verlag London 2008
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沙發(fā)
發(fā)表于 2025-3-21 20:45:12 | 只看該作者
978-1-84628-971-2Springer-Verlag London 2008
板凳
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地板
發(fā)表于 2025-3-22 04:33:31 | 只看該作者
Inner Product Space,An inner product space is the natural generalization of the Euclidean space R., with its well-known topological and geometric properties. It constitutes the framework, or setting, for much of our work in this book, as it provides the appropriate mathematical structure that we need.
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發(fā)表于 2025-3-22 11:32:24 | 只看該作者
Orthogonal Polynomials,In this chapter we consider three typical examples of singular SL problems whose eigenfunctions are real polynomials.
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發(fā)表于 2025-3-22 21:02:48 | 只看該作者
M. A. Al-GwaizProvides a rigorous introduction to the theory at a level suitable for undergraduates.Includes plenty of clearly-worked examples and exercises with solutions thereby making the book well-suited for se
8#
發(fā)表于 2025-3-23 00:50:41 | 只看該作者
Springer Undergraduate Mathematics Serieshttp://image.papertrans.cn/t/image/881135.jpg
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https://doi.org/10.1007/978-1-84628-972-9Fourier analysis; Fourier integral; Fourier series; Fourier transform; Mathematical methods; Special func
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發(fā)表于 2025-3-23 05:44:59 | 只看該作者
1615-2085 rest to students in related disciplines, such as physics and engineering, where Fourier analysis and special functions are used extensively for solving linear differential equations..978-1-84628-971-2978-1-84628-972-9Series ISSN 1615-2085 Series E-ISSN 2197-4144
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