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Classical Mechanics

Systems of Particles and Hamiltonian Dynamics

  • Walter Greiner

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Newtonian Mechanics in Moving Coordinate Systems

    1. Front Matter
      Pages 1-1
    2. Walter Greiner
      Pages 9-21
    3. Walter Greiner
      Pages 23-38
  3. Mechanics of Particle Systems

    1. Front Matter
      Pages 39-39
    2. Walter Greiner
      Pages 41-42
    3. Walter Greiner
      Pages 43-64
  4. Vibrating Systems

    1. Front Matter
      Pages 79-79
    2. Walter Greiner
      Pages 81-100
    3. Walter Greiner
      Pages 101-120
    4. Walter Greiner
      Pages 121-131
    5. Walter Greiner
      Pages 133-157
  5. Mechanics of Rigid Bodies

    1. Front Matter
      Pages 159-159
    2. Walter Greiner
      Pages 161-183
    3. Walter Greiner
      Pages 185-207
    4. Walter Greiner
      Pages 209-256
  6. Lagrange Equations

    1. Front Matter
      Pages 257-257
    2. Walter Greiner
      Pages 259-265
    3. Walter Greiner
      Pages 301-310
    4. Walter Greiner
      Pages 311-324
  7. Hamiltonian Theory

    1. Front Matter
      Pages 325-325
    2. Walter Greiner
      Pages 327-364
    3. Walter Greiner
      Pages 365-382
    4. Walter Greiner
      Pages 383-413
    5. Walter Greiner
      Pages 415-453
    6. Walter Greiner
      Pages 455-459
  8. Nonlinear Dynamics

    1. Front Matter
      Pages 461-462
    2. Walter Greiner
      Pages 463-483
    3. Walter Greiner
      Pages 485-493
    4. Walter Greiner
      Pages 495-501
    5. Walter Greiner
      Pages 503-516
    6. Walter Greiner
      Pages 517-551
  9. On the History of Mechanics

    1. Front Matter
      Pages 553-553
  10. Back Matter
    Pages 575-579

About this book

Introduction

This textbook Classical Mechanics provides a complete survey on all aspects of classical mechanics in theoretical physics. An enormous number of worked examples and problems show students how to apply the abstract principles to realistic problems.

The textbook covers Newtonian mechanics in rotating coordinate systems, mechanics of systems of point particles, vibrating systems and mechanics of rigid bodies. It thoroughly introduces and explains the Lagrange and Hamilton equations and the Hamilton-Jacobi theory. A large section on nonlinear dynamics and chaotic behavior of systems takes Classical Mechanics to newest development in physics.

The new edition is completely revised and updated. New exercises and new sections in canonical transformation and Hamiltonian theory have been added.

Keywords

Classical Dynamics Degrees of freedom Hamilton L Hamilton Lagrange Formalism Hamilton Theory Lagrange equation Mass point Mechanics Particle System Newtonian Mechanics Textbook Analytical Mechanics Textbook Classical Mechanics Textbook Mechanics Textbook Physics Mechanics Textbook Theoretical Physics classical mechanics

Authors and affiliations

  • Walter Greiner
    • 1
  1. 1.Frankfurt Inst. Advanced Studies (FIAS)Universität FrankfurtFrankfurtGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-03434-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-03433-6
  • Online ISBN 978-3-642-03434-3
  • Buy this book on publisher's site
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