Classical Mechanics

Including an Introduction to the Theory of Elasticity

  • Reinhard Hentschke

Part of the Undergraduate Lecture Notes in Physics book series (ULNP)

Table of contents

  1. Front Matter
    Pages i-x
  2. Reinhard Hentschke
    Pages 1-38
  3. Reinhard Hentschke
    Pages 39-68
  4. Reinhard Hentschke
    Pages 69-87
  5. Reinhard Hentschke
    Pages 89-122
  6. Reinhard Hentschke
    Pages 123-153
  7. Reinhard Hentschke
    Pages 155-187
  8. Reinhard Hentschke
    Pages 189-231
  9. Reinhard Hentschke
    Pages 233-252
  10. Reinhard Hentschke
    Pages 253-289
  11. Back Matter
    Pages 365-380

About this book

Introduction

This textbook teaches classical mechanics as one of the foundations of physics. It describes the mechanical stability and motion in physical systems ranging from the molecular to the galactic scale. Aside from the standard topics of mechanics in the physics curriculum, this book includes an introduction to the theory of elasticity and its use in selected modern engineering applications, e.g. dynamic mechanical analysis of viscoelastic materials. The text also covers many aspects of numerical mechanics, ranging from the solution of ordinary differential equations, including molecular dynamics simulation of many particle systems, to the finite element method. Attendant Mathematica programs or parts thereof are provided in conjunction with selected examples. Numerous links allow the reader to connect to related subjects and research topics. Among others this includes statistical mechanics (separate chapter), quantum mechanics, space flight, galactic dynamics, friction, and vibration spectroscopy. An introductory chapter compiles all essential mathematical tools, ranging from coordinates to complex numbers. Completely solved problems and examples facilitate a thorough understanding of the material.

Keywords

Normal Mode Analysis Stability Analysis Molecular Dynamics Simulation Rotation Curve Sling-Shot Effect Mechanics textbook Elasticity Theory Finite Element Method Dynamic Mechanical Analysis Storage Modulus Laws of Mechanics Equations of Motion Canonical Mechanics Many-Particle Mechanics

Authors and affiliations

  • Reinhard Hentschke
    • 1
  1. 1.School of Mathematics and Natural SciencesBergische UniversitätWuppertalGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-48710-6
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-48709-0
  • Online ISBN 978-3-319-48710-6
  • Series Print ISSN 2192-4791
  • Series Online ISSN 2192-4805
  • About this book
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