Applications of functional analysis in engineering
J. L. Nowinski.
New York : Plenum Press, ©1981.
xv, 304 págs. : ilustraciones ; 24 cm.
Serie: Mathematical concepts and methods in science and engineering ; 22
ISBN: 0306406934
Incluye referencias bibliográficas (p. 295-299) e índice.
Reseña: MathSciNet, 85e:46001
Contenido
- 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.