Skip to main content
SpringerLink
Log in
Book cover

Elements of Newtonian Mechanics

Including Nonlinear Dynamics

  • Textbook
  • © 1996

Overview

Authors:
  1. Jens Martin Knudsen

    1. Orsted Laboratory, Niels Bohr Institute, Copenhagen O, Denmark

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Poul Georg Hjorth

    1. Mathematical Institute, Technical University of Denmark, Lyngby, Denmark

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (16 chapters)

  1. Front Matter

    Pages N2-XVII
    Download chapter PDF

  2. The Foundation of Classical Mechanics

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 1-26

  3. Newton’s Five Laws

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 27-72

  4. Gravitational and Inertial Mass

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 73-81

  5. The Galilei Transformation

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 83-93

  6. The Motion of the Earth

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 95-100

  7. Motion in Accelerated Reference Frames

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 101-151

  8. The Problem of Motion

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 153-165

  9. Energy

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 167-192

  10. The Center-of-Mass Theorem

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 193-217

  11. The Angular Momentum Theorem

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 219-234

  12. Rotation of a Rigid Body

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 237-271

  13. The Laws of Motion

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 273-300

  14. The General Motion of a Rigid Body

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 301-332

  15. The Motion of the Planets

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 333-371

  16. Harmonic Oscillators

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 373-393

  17. Remarks on Nonlinearity and Chaos

    • Jens Martin Knudsen, Poul Georg Hjorth
    Pages 395-416

  18. Back Matter

    Pages 417-439
    Download chapter PDF
Back to top

Keywords

About this book

In the second edition, a number of misprints that appeared in the first edition have been corrected. In addition to this, we have made improvements based on the experience gathered in the use of the first English edition of the book in the introductory course in physics at the University of Copenhagen. A chapter introducing nonlinear dynamics has been added. The purpose of this chapter is to provide supplementary reading for the students who are interested in this area of active research, where Newtonian mechanics plays an essential role. The students who wish to dig deeper, should consult texts dedicated to the study of nonlinear dynamical systems and chaos. The literature list at the end of this book contains several references for the topic. The book still contains a one-semester (15 weeks) first university course on Newtonian mechanics. This necessarily introduces some constraints on the choice of topics and the level of mathematical sophistication expected from the reader. If one looks for discussions of technical issues, such as the physics behind various manifestations of friction, or the tensorial nature of the rotation vector, one will look in vain. The book contains what we feel are the essential aspects of Newtonian Mechanics. It is a pleasure again to thank Springer-Verlag and in particular Dr. H. J. KOisch and the staff at the Heidelberg office for helpfulness and professional collaboration.

Authors and Affiliations

  • Orsted Laboratory, Niels Bohr Institute, Copenhagen O, Denmark

    Jens Martin Knudsen

  • Mathematical Institute, Technical University of Denmark, Lyngby, Denmark

    Poul Georg Hjorth

Bibliographic Information

  • Book Title: Elements of Newtonian Mechanics

  • Book Subtitle: Including Nonlinear Dynamics

  • Authors: Jens Martin Knudsen, Poul Georg Hjorth

  • DOI: https://doi.org/10.1007/978-3-642-97673-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-60841-7Due: 03 September 1996

  • eBook ISBN: 978-3-642-97673-5Published: 06 December 2012

  • Edition Number: 2

  • Number of Pages: XVII, 437

  • Topics: Quantum Physics, Classical Mechanics, Quantum Information Technology, Spintronics

Publish with us

Policies and ethics

Back to top

Search

Navigation