of Calculus of Variations II The Hamiltonian Formalism.- 7. Legendre Transformation, Hamiltonian Systems, Convexity, Field Theories.- 8. Parametric Variational Integrals.- 9. Hamilton-Jacobi Theory and Canonical Transformations.- 10. Partial Differential Equations of First Order and Contact Transformations.- A List of Examples.- A Glimpse at the Literature.

This book by two of the foremost researchers and writers in the field is the first part of a treatise that covers the subject in breadth and depth, paying special attention to the historical origins of the theory. Both individually and collectively these volumes have already become standard references.