Calculus of VariationsCourier Corporation, 26 avr. 2012 - 240 pages 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. |
Table des matières
The Fixed End Point | |
THE GENERAL VARIATION OF A FUNCTIONAL | |
THE CANONICAL FORM OF THE EULER EQUATIONS | |
THE SECOND VARIATION SUFFICIENT CONDITIONS | |
FIELDS SUFFICIENT CONDITIONS FOR A STRONG | |
VARIATIONAL PROBLEMS INVOLVING MULTIPLE | |
DIRECT METHODS IN THE CALCULUS | |
PROPAGATION OF DISTURBANCES | |
VARIATIONAL METHODS IN PROBLEMS | |
Autres éditions - Tout afficher
Calculus of Variations Izrailʹ Moiseevich Gelʹfand,Sergeĭ Vasilʹevich Fomin Affichage d'extraits - 1963 |