Applications of functional analysis in engineering /
Guardado en:
| Autor Principal: | |
|---|---|
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
New York :
Plenum Press,
c1981.
|
| Series: | Mathematical concepts and methods in science and engineering ;
22 |
| Materias: | |
| Etiquetas: |
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Tabla de Contenidos:
- 1. Physical space. Abstract spaces
- 2. Basic vector algebra
- 3. Inner product of vectors. Norm
- 4. Linear independence. Vector components. Space dimension
- 5. Euclidean spaces of many dimensions
- 6. Infinite-dimensional Euclidean spaces
- 7. Abstract spaces. Hilbert space
- 8. Function space
- 9. Some geometry of function space
- 10. Closeness of functions. Approximation in the mean. Fourier expansions
- 11. Bounds and inequalities
- 12. The method of the hypercircle
- 13. The method of orthogonal projections
- 14. The Rayleigh-Ritz and Trefftz methods
- 15. Function space and variational methods
- 16. Distributions. Sobolev spaces.