Sturm-Liouville Theory and its Applications
Produktnummer:
18406a0e23dc974688ab34459f2ce926c0
| Autor: | Al-Gwaiz, Mohammed |
|---|---|
| Themengebiete: | Fourier analysis Fourier integral Fourier series Fourier transform Mathematical methods Special functions Sturm-Liouville theory Sturm–Liouville theory Transformation calculus |
| Veröffentlichungsdatum: | 15.01.2008 |
| EAN: | 9781846289712 |
| Sprache: | Englisch |
| Seitenzahl: | 264 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer London |
Produktinformationen "Sturm-Liouville Theory and its Applications"
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 treatment relies heavily on the convergence properties of sequences and series of numbers as well as on function. The text’s presentation follows a clear, rigorous mathematical style that is highly readable and easy to follow. Coverage begins with a description of the mathematical tools for building the Sturm-Liouville theory. Next, the author develops the theory and then presents the fruits of the theory. In addition, the book covers Fourier transforms and extends Fourier series to non-periodic functions. The many worked examples and exercises with solutions make the book suitable for self-study as well as accessible to undergraduate students in mathematics, physics, engineering, and related fields.
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