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  • © 2000

Elements of Newtonian Mechanics

Including Nonlinear Dynamics

  • Best-selling approach to Newtonian Mechanics
  • New section about Spin-Orbit locking
  • Problems with solutions
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advanced Texts in Physics (ADTP)

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-XIX
  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 193-218
  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 237-277
  13. The Laws of Motion

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 279-312
  14. The General Motion of a Rigid Body

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 313-344
  15. The Motion of the Planets

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 345-388
  16. Harmonic Oscillators

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 389-409
  17. Remarks on Nonlinearity and Chaos

    • Jens M. Knudsen, Poul G. Hjorth
    Pages 411-432
  18. Back Matter

    Pages 433-451

About this book

In the third edition a number of minor misprints that appeared in the second edition have have been corrected. Furthermore, 17 new problems have been added, at the end of chapters 6, 8, 9, 11, 12, 13, and 14. The answers to these 17 problems have not been listed in the 'Answers' section at the end of the book. This will permit the problems to be used as hand-in problems or perhaps in mid-term exams. JMK €9 PGH Copenhagen May 2000 Preface to the Second Edition 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.

Reviews

This book provides an excellent introduction to Newtonian mechanics at an undergraduate level, it is used at University of Copenhague. All the classical topics are presented in a very clear way an discussed with many physicaI examples. The book is divided in 16 chapters and contains more than 100 problerns, of various difficulties, with solutions. It's pedagogical conception is absolutely remarkable, all concepts are carefully introduced and physically discussed with mamy details. Foundation of classical mechanics is first introduced and commented on many problems like acceleration of gravity, circular motion or conmunication satellite. Next chapter is devoted to Newton's laws of motion, more than 30 pages of the book contains examples, on direct applications of these law, from: various fields of physics. Gravitational and inertial mass are discussed in the next chapter and is followed by the concept of Galilei transformation. The next three chapters examine the problem of motion respectively of the Earth, in accelerated reference frames and at the kinematic and dynamic point of view. Energy, Center-of Mass and angular momentum theorem are analysed with some details in chapters 8-10. The problem of rigid body including the motion of the planets and the Kepler Iaws are presented and discussed with great attention. The book ends with the important problem of harmonic oscillators and some remarks on non-linear dynamics. In conclusion I warmly recommend this book to everyone interesting in Newtonian mechanics.
S. Metens. Physicalia, 2001/XXXVII/4

 

"The book presents an excellant description of basic principles of classical mechanics....This book can be useful not only to students, but also to specialists who teach the powerful methods of Newtonian mechanics and the imaginary Newton's world governed by laws of classical mechanics."-Zentralblatt MATH

Authors and Affiliations

  • Ørsted Laboratory, Niels Bohr Institute, Copenhagen, Denmark

    Jens M. Knudsen

  • Mathematical Institute, B303, Technical University of Denmark, Lyngby, Denmark

    Poul G. Hjorth

Bibliographic Information

  • Book Title: Elements of Newtonian Mechanics

  • Book Subtitle: Including Nonlinear Dynamics

  • Authors: Jens M. Knudsen, Poul G. Hjorth

  • Series Title: Advanced Texts in Physics

  • DOI: https://doi.org/10.1007/978-3-642-57234-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Softcover ISBN: 978-3-540-67652-2Published: 21 June 2000

  • eBook ISBN: 978-3-642-57234-0Published: 06 December 2012

  • Series ISSN: 1439-2674

  • Edition Number: 3

  • Number of Pages: XX, 452

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Classical Mechanics, Astronomy, Astrophysics and Cosmology

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access