Generalized Classical Mechanics and Field Theory ：A Geometrical Approach of Lagrangian and Hamiltonian Formalisms Involving Higher Order Derivatives ( Volume 112 )

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

Publication series ：Volume 112

Author： León   M. de;Rodrigues   P. R.  

Publisher： Elsevier Science‎

Publication year： 2011

E-ISBN: 9780080872230

P-ISBN(Paperback): 9780444877536

P-ISBN(Hardback):  9780444877536

Subject： O412.3 field theory

Language： ENG

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Description

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.

Chapter

Front Cover

pp.：  1 – 4

Generalized Classical Mechanics and Field Theory

pp.：  4 – 5

Copyright Page

pp.：  5 – 14

Foreword

pp.：  10 – 18

Table of Contents

pp.：  14 – 10

CHAPTER I. The Differential Geometry of Higher Order Jets and Tangent Bundles

pp.：  18 – 90

CHAPTER II. Generalized Classical Mechanics

pp.：  90 – 144

CHAPTER III. Generalized Field Theory

pp.：  144 – 284

References

pp.：  284 – 302

Subject Index

pp.：  302 – 308

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