Buy the inverse problem of the calculus of variations local and global theory atlantis studies in variational geometry on amazoncom free shipping on qualified orders. First systematic contribution to the global inverse problem of the calculus of variations based on modern differential geometry and algebraic topology selected applications of the inverse problem in geometry optimal control theory and modern theoretical physics higher order mechanics and general relativity. Get this from a library the inverse problem of the calculus of variations local and global theory dmitry v zenkov the aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations ie how to recognize whether a system of differential equations can be treated as . The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations ie how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional the euler lagrange equations using contemporary geometric methods