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Sturm-Liouville Theory and its Applications

Sturm-Liouville Theory and its Applications PDF Author: Mohammed Al-Gwaiz
Publisher: Springer Science & Business Media
ISBN: 1846289718
Category : Mathematics
Languages : en
Pages : 270

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Book Description
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.