Calculus of VariationsCourier Corporation, 1 de gen. 2000 - 232 pàgines 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. |
Continguts
ELEMENTS OF THE THEORY | 1 |
FURTHER GENERALIZAT1ONS | 34 |
THE GENERAL VARIATION OF A FUNCTIONAL | 54 |
THE CANONICAL FORM OF THE EULER EQUATIONS AND RELATED TOPICS | 67 |
THE SECOND VARIATION SUFFICIENT CONDITIONS FOR A WEAK EXTREMUM | 97 |
FIELDS SUFFICIENT CONDITIONS FOR A STRONG EXTREMUM | 131 |
VARIATIONAL PROBLEMS INVOLVING MULTIPLE INTEGRALS | 152 |
DIRECT METHODS IN THE CALCULUS OF VARIATIONS | 192 |
Altres edicions - Mostra-ho tot
Calculus of Variations Izrailʹ Moiseevich Gelʹfand,Sergeĭ Vasilʹevich Fomin Visualització de fragments - 1963 |
Frases i termes més freqüents
Referències a aquest llibre
Density-Functional Theory of Atoms and Molecules Robert G. Parr,Yang Weitao Previsualització limitada - 1994 |
Nonlinear Programming: Sequential Unconstrained Minimization Techniques Anthony V. Fiacco,Garth P. McCormick Previsualització no disponible - 1990 |