Calculus of variations /
Gelʹfand, I. M.
Calculus of variations / I.M. Gelfand, S.V. Fomin ; translated and edited by Richard A. Silverman. - First Edition - vii, 232 pages : illustrations ; 22 cm.
Originally published: Englewood Cliffs, N.J. : Prentice-Hall, 1963.
Elements of the theory -- Further generalizations -- The general variation of a functional -- The canonical form of the euler equations and related topics -- The second variation : sufficient conditions for a weak extremum -- Fields : sufficient conditions for a strong extremum -- Variational problems involving multiple integrals -- Direct methods in the calculus of variations.
Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws.
0486414485
00057099
Calculus of variations.
Cálculo de variaciones.
QA315 / .G41713 2000
515.64
Calculus of variations / I.M. Gelfand, S.V. Fomin ; translated and edited by Richard A. Silverman. - First Edition - vii, 232 pages : illustrations ; 22 cm.
Originally published: Englewood Cliffs, N.J. : Prentice-Hall, 1963.
Elements of the theory -- Further generalizations -- The general variation of a functional -- The canonical form of the euler equations and related topics -- The second variation : sufficient conditions for a weak extremum -- Fields : sufficient conditions for a strong extremum -- Variational problems involving multiple integrals -- Direct methods in the calculus of variations.
Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws.
0486414485
00057099
Calculus of variations.
Cálculo de variaciones.
QA315 / .G41713 2000
515.64