Sturm-Liouville theory and its applications
Author(s)
Bibliographic Information
Sturm-Liouville theory and its applications
（Springer undergraduate mathematics series）
Springer, c2008
- : pbk.
Available at / 24 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
: pbk./AL 382080165216
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Note
Includes bibliographical references and index
Description and Table of Contents
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.
Table of Contents
Inner Product Space.- The Sturm-Liouville Theory.- Fourier Series.- Orthogonal Polynomials.- Bessel Functions.- The Fourier Transformation.- The Laplace Transformation.
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