Generalized Classical Mechanics and Field Theory

A Geometrical Approach of Lagrangian and Hamiltonian Formalisms Involving Higher Order Derivatives


  • M. de León
  • P.R. Rodrigues

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.
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Book information

  • Published: June 1985
  • Imprint: NORTH-HOLLAND
  • ISBN: 978-0-444-87753-6

Table of Contents

Chapters: I. The Differential Geometry of Higher Order Jets and Tangent Bundles. II. Generalized Classical Mechanics. III. Generalized Field Theory. Appendices.