Sturm-Liouville theory and its applications
著者
書誌事項
Sturm-Liouville theory and its applications
（Springer undergraduate mathematics series）
Springer, c2008
- : pbk.
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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 L2. The text's presentation follows a clear, rigorous mathematical style that is highly readable. The author first establishes the basic results of Sturm-Liouville theory and then provides examples and applications to illustrate the theory. The final two chapters, on Fourier and Laplace transformations, demonstrate the use of the Fourier series method for representing functions to integral representations.
目次
Inner Product Space.- The Sturm-Liouville Theory.- Fourier Series.- Orthogonal Polynomials.- Bessel Functions.- The Fourier Transformation.- The Laplace Transformation.
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