Fourier Series and Orthogonal Polynomials
Nonfiction, Science & Nature, Mathematics, Functional Analysis
| Author: | Dunham Jackson | ISBN: | 9780486154503 |
| Publisher: | Dover Publications | Publication: | April 27, 2012 |
| Imprint: | Dover Publications | Language: | English |
| Author: | Dunham Jackson |
| ISBN: | 9780486154503 |
| Publisher: | Dover Publications |
| Publication: | April 27, 2012 |
| Imprint: | Dover Publications |
| Language: | English |
This text for undergraduate and graduate students illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Starting with a definition and explanation of the elements of Fourier series, the text follows with examinations of Legendre polynomials and Bessel functions. Boundary value problems consider Fourier series in conjunction with Laplace's equation in an infinite strip and in a rectangle, with a vibrating string, in three dimensions, in a sphere, and in other circumstances. An overview of Pearson frequency functions is followed by chapters on orthogonal, Jacobi, Hermite, and Laguerre polynomials, and the text concludes with a chapter on convergence. 1941 edition.
This text for undergraduate and graduate students illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Starting with a definition and explanation of the elements of Fourier series, the text follows with examinations of Legendre polynomials and Bessel functions. Boundary value problems consider Fourier series in conjunction with Laplace's equation in an infinite strip and in a rectangle, with a vibrating string, in three dimensions, in a sphere, and in other circumstances. An overview of Pearson frequency functions is followed by chapters on orthogonal, Jacobi, Hermite, and Laguerre polynomials, and the text concludes with a chapter on convergence. 1941 edition.
