Sturm-Liouville theory and its applications / M.A. Al-Gwaiz
Tipo de material:
TextoSeries Springer undergraduate mathematics seriesDetalles de publicación: London : Springer, 2008 Descripción: X, 264 p. : gráf. ; 24 cmISBN: 978-1-84628-971-2Tema(s): Ecuaciones diferenciales -- Problemas, ejercicios, etcResumen: 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 functions, and assumes a solid background in advanced calculus and an acquaintance with ordinary differential equations and linear algebra. Familiarity with the relevant theorems of real analysis, such as the AscoliئArzelà theorem, is also useful for following the proofs. 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. Provides a rigorous introduction to the theory at a level suitable for undergraduatesResumen: Índice: Inner product space.- The Sturm-Liouville theory.- Fourier series.- Orthogonal polynomials.- Bessel functions.- The Fourier transformation.- The Laplace transformation.- Solutions to selected exercises.- References.- Notation.- Index.
| Tipo de ítem | Biblioteca de origen | Signatura | URL | Estado | Fecha de vencimiento | Código de barras | Reserva de ítems |
|---|---|---|---|---|---|---|---|
| Manuales | 02. BIBLIOTECA CAMPUS PUERTO REAL | 517.954/ALG/stu (Navegar estantería(Abre debajo)) | Texto completo | Disponible Ubicación en estantería | Bibliomaps® | 3742652621 | ||
| Manuales | 02. BIBLIOTECA CAMPUS PUERTO REAL | 517.954/ALG/stu (Navegar estantería(Abre debajo)) | Texto completo | Disponible Ubicación en estantería | Bibliomaps® | 374265256X |
Índice
Bibliografía: p. [259]-260
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 functions, and assumes a solid background in advanced calculus and an acquaintance with ordinary differential equations and linear algebra. Familiarity with the relevant theorems of real analysis, such as the AscoliئArzelà theorem, is also useful for following the proofs. 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. Provides a rigorous introduction to the theory at a level suitable for undergraduates
Índice: Inner product space.- The Sturm-Liouville theory.- Fourier series.- Orthogonal polynomials.- Bessel functions.- The Fourier transformation.- The Laplace transformation.- Solutions to selected exercises.- References.- Notation.- Index.
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