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 77-165
  4. Florian A. Scheck
    Pages 167-210
  5. Florian A. Scheck
    Pages 211-254
  6. Florian A. Scheck
    Pages 255-319
  7. Florian A. Scheck
    Pages 321-383
  8. Florian A. Scheck
    Pages 385-402
  9. Back Matter
    Pages 403-513

About this book

Introduction

Purpose and Emphasis. Mechanics not only is the oldest branch of physics but was and still is the basis for all of theoretical physics. Quantum mechanics can hardly be understood, perhaps cannot even be formulated, without a good knowledge of general mechanics. Field theories such as electrodynamics borrow their formal framework and many of their building principles from mechanics. In short, throughout the many modem developments of physics where one fre­ quently turns back to the principles of c1assical mechanics its model character is feIt. For this reason it is not surprising that the presentation of mechanics reflects to some extent the development of modem physics and that today this c1assical branch of theoretical physics is taught rather differently than at the time of Arnold Sommerfeld, in the 1920s, or even in the 1950s, when more emphasis was put on the theory and the applications of partial-differential equations. Today, symme­ tries and invariance principles, the structure ofthespace-time continuum, and the geometrical structure of mechanics play an important role. The beginner should realize that mechanics is not primarily the art of describing block-and-tackles, coIIisions of billiard balls, constrained motions of the cylinder in a washing ma­ chine, or bicycle riding.

Keywords

Hamiltonian Hamiltonian Mechanics Hamiltonsche Mechanik Mechanik Newtonian mechanics Nichtlineare Dynamik chaos dynamics mechanics nonlinear dynamics rigid bodies solution stability

Authors and affiliations

  • Florian A. Scheck
    • 1
  1. 1.Institut für Physik, Theoretische ElementarteilchenphysikJohannes Gutenberg-UniversitätMainzGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-02973-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-57475-0
  • Online ISBN 978-3-662-02973-2
  • About this book