Introduction to Mechanics and Symmetry

A Basic Exposition of Classical Mechanical Systems

  • Jerrold E. Marsden
  • Tudor S. Ratiu

Part of the Texts in Applied Mathematics book series (TAM, volume 17)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 1-60
  3. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 61-103
  4. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 105-120
  5. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 121-146
  6. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 147-164
  7. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 165-180
  8. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 181-218
  9. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 219-264
  10. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 265-326
  11. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 327-364
  12. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 365-382
  13. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 383-414
  14. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 415-442
  15. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 443-479
  16. Jerrold E. Marsden, Tudor S. Ratiu
    Pages 481-517
  17. Back Matter
    Pages 519-582

About this book

Introduction

Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of the book is to develop the basic theory and applications of mechanics with an emphasis on the role of symmetry. In recent times, the interest in mechanics, and in symmetry techniques in particular, has accelerated because of developments in dynamical systems, the use of geometric methods and new applications to integrable and chaotic systems, control systems, stability and bifurcation, and the study of specific rigid, fluid, plasma and elastic systems. Introduction to Mechanics and Symmetry lays the basic foundation for these topics and includes numerous specific applications, making it beneficial to physicists and engineers. This text has specific examples and applications showing how the theory works, and up-to-date techniques, all of which makes it accessible to a wide variety of readers, expecially senior undergraduate and graduate students in mathematics, physics and engineering. For this second edition, the text has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available on-line.

Keywords

Lagrangian mechanics Rigid body bifurcation dynamical systems lie group manifold mathematics mechanics stability

Authors and affiliations

  • Jerrold E. Marsden
    • 1
  • Tudor S. Ratiu
    • 2
  1. 1.California Institute of TechnologyControl and Dynamical Systems, 107-81PasadenaUSA
  2. 2.Département de mathématiquesEcole polytechnique fédérale de LausanneLausanneSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-21792-5
  • Copyright Information Springer-Verlag New York 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3143-6
  • Online ISBN 978-0-387-21792-5
  • Series Print ISSN 0939-2475
  • About this book