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The presentation follows a clear and rigorous mathematical style that is both readable and well motivated, with many examples and applications used to illustrate the theory. Although addressed primarily to undergraduate students of mathematics, the book will also be of interest to students in related disciplines, such as physics and engineering, where Fourier analysis and special functions are used extensively for solving linear differential equations.
The presentation follows a clear and rigorous mathematical style that is both readable and well motivated, with many examples and applications used to illustrate the theory. Although addressed primarily to undergraduate students of mathematics, the book will also be of interest to students in related disciplines, such as physics and engineering, where Fourier analysis and special functions are used extensively for solving linear differential equations.
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.
| Erscheinungsjahr: | 2008 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
x
264 S. |
| ISBN-13: | 9781846289712 |
| ISBN-10: | 1846289718 |
| Sprache: | Englisch |
| Herstellernummer: | 12032945 |
| Einband: | Kartoniert / Broschiert |
| Autor: | Al-Gwaiz, Mohammed |
| Hersteller: | Springer London |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 178 x 16 mm |
| Von/Mit: | Mohammed Al-Gwaiz |
| Erscheinungsdatum: | 15.01.2008 |
| Gewicht: | 0,486 kg |
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.
| Erscheinungsjahr: | 2008 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
x
264 S. |
| ISBN-13: | 9781846289712 |
| ISBN-10: | 1846289718 |
| Sprache: | Englisch |
| Herstellernummer: | 12032945 |
| Einband: | Kartoniert / Broschiert |
| Autor: | Al-Gwaiz, Mohammed |
| Hersteller: | Springer London |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 178 x 16 mm |
| Von/Mit: | Mohammed Al-Gwaiz |
| Erscheinungsdatum: | 15.01.2008 |
| Gewicht: | 0,486 kg |
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