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  • Textbook
  • Open Access
  • © 2017

Classical Mechanics

Including an Introduction to the Theory of Elasticity

  • Introduces the theory of elasticity and its application in selected modern engineering applications, such as dynamic mechanical analysis of viscoelastic materials

  • Appeals to students of physics and of engineering alike

  • 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 in the context of continuous media

  • Includes an introductory chapter on all essential mathematical tools, ranging from coordinates to complex numbers

  • Features completely solved problems and examples

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

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eBook USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-3-319-48710-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 74.99
Price excludes VAT (USA)

Table of contents (10 chapters)

  1. Front Matter

    Pages i-x
  2. Mathematical Tools

    • Reinhard Hentschke
    Pages 1-38
  3. Laws of Mechanics

    • Reinhard Hentschke
    Pages 39-68
  4. Least Action Principle for One Coordinate

    • Reinhard Hentschke
    Pages 69-87
  5. Principle of Least Action

    • Reinhard Hentschke
    Pages 89-122
  6. Integrating the Equations of Motion

    • Reinhard Hentschke
    Pages 123-153
  7. Small Oscillations

    • Reinhard Hentschke
    Pages 155-187
  8. Rigid Body Motion

    • Reinhard Hentschke
    Pages 189-231
  9. Canonical Mechanics

    • Reinhard Hentschke
    Pages 233-252
  10. Many-Particle Mechanics

    • Reinhard Hentschke
    Pages 253-289
  11. Back Matter

    Pages 365-380

About this book

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

Reviews

“This textbook on classical mechanics is intended for physics students, who encounter the subject as a part of their undergraduate curriculum in theoretical physics. However it could be used in Mechanics courses for Engineering students as well. … I stress that the book is a welcome addition to the textbooks on Classical Mechanics and I strongly recommend it for Physics and Engineering students.” (Teodor Atanacković, zbMATH 1364.70002, 2017)

Authors and Affiliations

  • School of Mathematics and Natural Sciences, Bergische Universität, Wuppertal, Germany

    Reinhard Hentschke

About the author

Reinhard Hentschke studied physics at the University of Osnabrück, Germany. He received his Ph.D. from the University of Maine, USA, with a thesis entitled “Application of Conformal Invariance to the Investigation of Second Order Surface Phase Transitions”. After a stay as a visiting scientist at the Department of Chemistry, Baker Laboratory, Cornell University, he worked as a postdoc at the Department of Chemistry, Brandeis University. Returning to Germany he joined the Max-Planck Institute for Polymer Research as a staff scientist. After obtaining his Habilitation in Physical Chemistry at the Department of Chemistry, Gutenberg University, Mainz, he moved to Wuppertal, where he is a professor in Physics at the Bergische Universität.

His research interests have frequently straddled the boundary between physics and chemis­try. Early work as a Diplom and Ph.D. student has focused on surface physics, dealing with topics in molecule/ion-surface collisions and surface phase transitions. During his postdoctoral years the focus shifted to theoretical physical chemistry of reversible molecular aggrega­tion as found in micellar and protein systems and the attendant liquid crystalline phase be­havior. As a scientist at the Max-Planck Institute for Polymer Research he has concen­trated on computer modelling of polymers.

Subsequent work has been a synthesis of these earlier fields. His group has concentrated on (a) the theoretical investigation of sorption in polymer networks, using computer simulation methods and lattice theory; (b) reversible self-assembly and phase behavior of equilibrium polymers, using again a combi­nation of computer simulation and analytical theory; (c) dielectric properties in conjunc­tion with the structural phase behavior of dipolar fluids; (d) the development of computer algorithms for molecular modelling. Recently he has become interested in theoretical problems encountered in elastomer technology.

Bibliographic Information

Buying options

eBook USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-3-319-48710-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 74.99
Price excludes VAT (USA)