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Mechanics

From Newton's Laws to Deterministic Chaos

  • Florian Scheck

Part of the Graduate Texts in Physics book series (GTP)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Florian Scheck
    Pages 1-87
  3. Florian Scheck
    Pages 89-186
  4. Florian Scheck
    Pages 187-240
  5. Florian Scheck
    Pages 241-284
  6. Florian Scheck
    Pages 285-356
  7. Florian Scheck
    Pages 357-419
  8. Florian Scheck
    Pages 421-438
  9. Back Matter
    Pages 439-555

About this book

Introduction

This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks to include dynamical systems and deterministic chaos in due detail. As compared to the previous editions the present fifth edition is updated and revised with more explanations, additional examples and sections on Noether's theorem.

Symmetries and invariance principles, the basic geometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equations of motion follow, to understand the importance of canonical mechanics and of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches of physics.

The book contains more than 120 problems with complete solutions, as well as some practical examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook to accompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics.

Keywords

Canonical Mechanics Hamiltonian Mechanics Newton Law Noether Theorem Relativistic Mechanics Rigid body Stability and Chaos Text Textbook Classical Mechanics chaos continuum mechanics deterministic chaos mechanics nonlinear dynamics stability

Authors and affiliations

  • Florian Scheck
    • 1
  1. 1.Institut für PhysikUniversität MainzMainzGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-05370-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-05369-6
  • Online ISBN 978-3-642-05370-2
  • Series Print ISSN 1868-4513
  • Series Online ISSN 1868-4521
  • Buy this book on publisher's site
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