Calculus of Variations
Courier Corporation, 2000 - Mathematics - 232 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.
What people are saying - Write a review
great book, but don't get it here
This is a great book, but don't get it here. Google books forces me to read it on their online viewer, and I can't actually download it. This really sucks too because the online book viewer is bad and I need internet to access it.
very good book, explained the things i was looking for with details. its a pity in 12-2 it doesnt speak about lagrange factors though!
ELEMENTS OF THE THEORY
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