Geometric Mechanics

  • Authors
  • Waldyr Muniz Oliva

Part of the Lecture Notes in Mathematics book series (LNM, volume 1798)

Table of contents

  1. Front Matter
    Pages N2-XI
  2. Waldyr Muniz Oliva
    Pages 1-2
  3. Waldyr Muniz Oliva
    Pages 3-12
  4. Waldyr Muniz Oliva
    Pages 23-53
  5. Waldyr Muniz Oliva
    Pages 55-60
  6. Waldyr Muniz Oliva
    Pages 61-110
  7. Waldyr Muniz Oliva
    Pages 111-126
  8. Waldyr Muniz Oliva
    Pages 145-163
  9. Waldyr Muniz Oliva
    Pages 165-181
  10. Waldyr Muniz Oliva
    Pages 183-193
  11. Waldyr Muniz Oliva
    Pages 195-221
  12. Waldyr Muniz Oliva
    Pages 223-244
  13. Waldyr Muniz Oliva
    Pages 245-257
  14. Waldyr Muniz Oliva
    Pages 259-261
  15. Waldyr Muniz Oliva
    Pages 263-270
  16. Back Matter
    Pages 271-276

About this book

Introduction

Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanics while the last two ones as well as two of the four appendices describe the foundations and some aspects of Special and General Relativity. All the material has a coordinate free presentation but, for the sake of motivation, many examples and exercises are included in order to exhibit the desirable flavor of physical applications.

Keywords

dynamical Systems general relativity geometric mechanics holonomic and non-holonomic systems manifold special relativity

Bibliographic information

  • DOI https://doi.org/10.1007/b84214
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-44242-4
  • Online ISBN 978-3-540-45795-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book