Gel´fand, I. M. (Izrail´ Moiseevich)
[Variatsionnoe ischislenie. Inglés]
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, c1963. vii, 232 p. : diagrs. ; 24 cm. — (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.
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.
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