Generalized Classical Mechanics and Field Theory

Manuel Deleón and Paulo R. Rodrigues (Eds.)9780444877536, 0444877533

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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Table of contents :
Content:
Editor
Page ii

Edited by
Page iii

Copyright page
Page iv

Dedication
Pages v-vi

Generalized Classical Mechanics and Field Theory: Foreword
Pages ix-xii

Chapter I The Differential Geometry of Higher Order Jets and Tangent Bundles
Pages 1-72

Chapter II Generalized Classical Mechanics
Pages 73-125

Chapter III Generalized Field Theory
Pages 127-233

Appendix A Vector Bundles
Pages 235-242

Appendix B Constrained Systems
Pages 243-265

References
Pages 267-283

Subject Index
Pages 285-289