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Elements of Newtonian Mechanics

Including Nonlinear Dynamics

  • Textbook
  • © 2000
  • Latest edition

Overview

  • 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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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.

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Table of contents (16 chapters)

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

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