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Mechanics

From Newton’s Laws to Deterministic Chaos

  • Florian A. Scheck

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Florian A. Scheck
    Pages 1-76
  3. Florian A. Scheck
    Pages 77-163
  4. Florian A. Scheck
    Pages 165-206
  5. Florian A. Scheck
    Pages 207-250
  6. Florian A. Scheck
    Pages 251-315
  7. Florian A. Scheck
    Pages 317-379
  8. Florian A. Scheck
    Pages 381-393
  9. Back Matter
    Pages 395-431

About this book

Introduction

A course in mechanics is of primary importance in any physics teaching program. Scheck's book integrates the various aspects of classical mechanics, relativistic mechanics, and modern topics such as deterministic chaos. Both the physical approach to mechanics and its mathematical foundations are emphasised. With elementary Newtonian mechanics as a starting point, the principles of canonical mechanics in Hamiltonian and Lagrangian formulations are outlined. Rigid bodies are treated in detail, and the basic concepts of special relativity are given. Particular emphasis is put on the geometrical aspects of mechanics, such as geometrical objects on manifolds. A chapter on stability and chaos concludes the book, introducing topics such as the long-time behavior of dynamical flows, deterministic chaos, and chaotic motion in celestial mechanics.

Keywords

Hamilton-Jacobische Mechanik Hamiltonian Hamiltonian mechanics Lagrangesche Mechanik Mechanik Newtonian mechanics chaos classical mechanics mechanics relativity rigid bodies special relativity stability theory of relativity

Authors and affiliations

  • Florian A. Scheck
    • 1
  1. 1.Institut für Physik, Fachbereich PhysikJohannes Gutenberg-UniversitätMainz 1Fed. Rep. of Germany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-02630-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-52715-2
  • Online ISBN 978-3-662-02630-4
  • Buy this book on publisher's site