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

Author:   O.L. de Lange (School of Physics, University of KwaZulu-Natal, South Africa) ,  J. Pierrus (School of Physics, University of KwaZulu-Natal, South Africa)
Publisher:   Oxford University Press
ISBN:  

9780199582518


Pages:   608
Publication Date:   06 May 2010
Format:   Paperback
Availability:   To order   Availability explained
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Solved Problems in Classical Mechanics: Analytical and Numerical Solutions with Comments


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Overview

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 are followed by a set of comments intended to stimulate inductive reasoning and provide additional information of interest. Both analytical and numerical (computer) techniques are used to obtain and analyze solutions. The computer calculations use Mathematica (version 7), and the relevant code is given in the 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.

Full Product Details

Author:   O.L. de Lange (School of Physics, University of KwaZulu-Natal, South Africa) ,  J. Pierrus (School of Physics, University of KwaZulu-Natal, South Africa)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 17.10cm , Height: 2.80cm , Length: 24.60cm
Weight:   1.202kg
ISBN:  

9780199582518


ISBN 10:   0199582513
Pages:   608
Publication Date:   06 May 2010
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

1: Introduction 2: Miscellanea 3: One-dimensional motion 4: Linear oscillations 5: Energy and potentials 6: Momentum and angular momentum 7: Motion in two and three dimensions 8: Spherically symmetric potentials 9: The Coulomb and oscillator problems 10: Two-body problems 11: Multi-particle systems 12: Rigid bodies 13: Nonlinear oscillations 14: Translation and Rotation of the reference frame 15: The relativity principle and some of its consequences

Reviews

The book is enormously pedagogical and useful. It is a very good resource for teaching standard theoretical and computational classical mechanics. S. Afr. J. Sci. 2012


The authors make significant contributions to classical mechanics by considering more complex and hence more realistic problems, many of which are only tractable on the computer ... The book is enormously pedagogical and useful. It is a very good resource for teaching standard theoretical and computational classical mechanics. The range of topics within the book is impressive. South African Journal of Science


Author Information

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. The former book was awarded the University of Natal book prize (1994) and the Bill Venter/Altron award (1995) for research published in book form. John Pierrus is a senior lecturer in the school of physics at the University of KwaZulu-Natal. He has published research in the fields of chemical kinetics, solid state physics, molecular physics, gas dynamics and educational physics. His teaching interests include electromagnetic theory and classical mechanics at both the undergraduate and postgraduate level.

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