The aim of this book is to discuss the present situation of Lagrangian and Hamiltonian formalisms involving higher order derivatives. The achievements of differential geometry in formulating a more modern and powerful treatment of these theories is described and an extensive review of the development of these theories in classical language is also given.
Table of Contents
Chapters: I. The Differential Geometry of Higher Order Jets and Tangent Bundles. II. Generalized Classical Mechanics. III. Generalized Field Theory. Appendices.