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Elements of Newtonian Mechanics

  • Textbook
  • © 1995

Overview

Authors:
  1. Jens M. Knudsen

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

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  2. Poul G. Hjorth

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

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XVI
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  2. The Foundation of Classical Mechanics

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 1-26

  3. Newton’s Five Laws

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 27-72

  4. Gravitational and Inertial Mass

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 73-81

  5. The Galilei Transformation

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 83-93

  6. The Motion of the Earth

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 95-100

  7. Motion in Accelerated Reference Frames

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 101-152

  8. The Problem of Motion

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 153-165

  9. Energy

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 167-192

  10. The Center-of-Mass Theorem

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 193-217

  11. The Angular Momentum Theorem

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 219-235

  12. Rotation of a Rigid Body

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 237-271

  13. The Laws of Motion

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 273-300

  14. The General Motion of a Rigid Body

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 301-332

  15. The Motion of the Planets

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 333-371

  16. Harmonic Oscillators

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 373-393

  17. Back Matter

    Pages 395-413
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Keywords

About this book

This book is intended as a textbook for an entry-level university course in Newtonian mechanics for students of physics, astronomy, and the engineering sciences. The material has been used as a first-semester text for first-year undergraduates at the Niels Bohr Institute, which is part of the University of Copenhagen. Our way of presenting Newtonian mechanics is influenced by the writings of the late Max Born. Also, the Feynman Lectures on Physics have been an important source of inspiration. In fact, the idea for the book came when we read Section 16.1 of Volume 1 of the Feynman Lectures. Ideas from the well-known Berkeley Physics Course may also be traced in the text. All of the books quoted in the literature list have, in one way or another, served as a source for our lectures for undergraduates. It is assumed that the students already have a rudimentary knowledge of Newtonian mechanics, say at the high-school level. Some background in vectors and elementary calculus is also required, i.e., the students should know how to add vectors as well as how to differentiate and integrate elementary functions. The Appendix contains the required background for the use of vectors in Newtonian mechanics.

Reviews

"The presentation of this book is excellent. half of it consists of worked examples...a useful reference for second year students studying mechanics" Australian and New Zealand Physicist

Authors and Affiliations

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

    Jens M. Knudsen

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

    Poul G. Hjorth

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