Sturm-Liouville Theory and its Applications

✍ Scribed by M. A. Al-Gwaiz

Publisher: Springer
Year: 2008
Tongue: English
Leaves: 270
Series: Springer Undergraduate Mathematics Series
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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