Calculus of variations
I. M. Gelfand, S. V. Fomin.
Rev. English ed. / translated and edited by Richard A. Silverman.
Englewood Cliffs, N.J. : Prentice-Hall, ©1963.
vii, 232 págs. : diagrs. ; 24 cm.
Serie: Selected Russian publications in the mathematical sciences
"Based on lectures given by I.M. Gelfand in the Mechanics and Mathematics Department of Moscow State University."
Bibliografía: p. 227.
Reseña: MathSciNet, 28 #3353
Contenido
- 1. Elements of the theory
- 2. Further generalizations
- 3. The general variation of a functional
- 4. The canonical form of the Euler equations and related topics
- 5. The second variation. Sufficient conditions for a weak extremum
- 6. Fields. Sufficient conditions for a strong extremum
- 7. Variational problems involving multiple integrals
- 8. Direct methods in the calculus of variations.