Solved Problems in Classical Mechanics: Analytical and Numerical Solutions with Comments

Paperback | June 12, 2010

byOwen L. de Lange, John Pierrus

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Apart from an introductory chapter giving a brief summary of Newtonian and Lagrangian mechanics, this book consists entirely of questions and solutions on topics in classical mechanics that will be encountered in undergraduate and graduate courses. These include one-, two-, and three-dimensional motion; linear and nonlinear oscillations; energy, potentials, momentum, and angular momentum; spherically symmetric potentials; multi-particle systems; rigid bodies; translation and rotation of the reference frame; the relativity principle and some of its consequences. The solutions arefollowed by a set of comments intended to stimulate inductive reasoning and provide additional information of interest. Both analytical and numerical (computer) techniques are used obtain and analyze solutions. The computer calculations use Mathematica (version 7), and the relevant code is given inthe text. It includes use of the interactive Manipulate function which enables one to observe simulated motion on a computer screen, and to study the effects of changing parameters.The book will be useful to students and lecturers in undergraduate and graduate courses on classical mechanics, and students and lecturers in courses in computational physics.

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From the Publisher

Apart from an introductory chapter giving a brief summary of Newtonian and Lagrangian mechanics, this book consists entirely of questions and solutions on topics in classical mechanics that will be encountered in undergraduate and graduate courses. These include one-, two-, and three-dimensional motion; linear and nonlinear oscillation...

Owen de Lange is a professor of physics at the University of KwaZulu-Natal. His research interests include: electromagnetic theory, molecular physics, dislocation interactions, superconductivity and educational physics. He is co-author of two monographs: Operator methods in quantum mechanics, and Multipole theory in electromagnetism. ...

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Format:PaperbackDimensions:608 pages, 9.69 × 6.73 × 0.07 inPublished:June 12, 2010Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199582513

ISBN - 13:9780199582518

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Table of Contents

1. Introduction2. Miscellanea3. One-dimensional motion4. Linear oscillations5. Energy and potentials6. Momentum and angular momentum7. Motion in two and three dimensions8. Spherically symmetric potentials9. The Coulomb and oscillator problems10. Two-body problems11. Multi-particle systems12. Rigid bodies13. Nonlinear oscillations14. Translation and Rotation of the reference frame15. The relativity principle and some of its consequences

Editorial Reviews

"The writing is succinct and clear and the comments often bring out the relevance of the problem to a phenomenon of current interest as well as points of historical importance. The problems are varied and well chosen." --A.D. Buckingham, Cambridge University