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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
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 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.
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 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.
Classical electromagnetism - one of the fundamental pillars of physics - is an important topic for all types of physicists from the theoretical to the applied. The subject is widely recognized to be one of the most challenging areas of the physics curriculum, both for students to learn and for lecturers to teach. Although textbooks on electromagnetism are plentiful, hardly any are written in the question-and-answer style format adopted in this book. It contains nearly 300 worked questions and solutions in classical electromagnetism, and is based on material usually encountered during the course of a standard university physics degree. Topics covered include some of the background mathematical techniques, electrostatics, magnetostatics, elementary circuit theory, electrodynamics, electromagnetic waves and electromagnetic radiation. For the most part the book deals with the microscopic theory, although we also introduce the important subject of macroscopic electromagnetism as well. Nearly all questions end with a series of comments whose purpose is to stimulate inductive reasoning and reach various important conclusions arising from the problem. Occasionally, points of historical interest are also mentioned. Both analytical and numerical techniques are used in obtaining and analyzing solutions. All computer calculations are performed with MathematicaCO (R) and the relevant code is provided in a notebook; either in the solution or the comments.
Classical electromagnetism - one of the fundamental pillars of physics - is an important topic for all types of physicists from the theoretical to the applied. The subject is widely recognized to be one of the most challenging areas of the physics curriculum, both for students to learn and for lecturers to teach. Although textbooks on electromagnetism are plentiful, hardly any are written in the question-and-answer style format adopted in this book. It contains nearly 300 worked questions and solutions in classical electromagnetism, and is based on material usually encountered during the course of a standard university physics degree. Topics covered include some of the background mathematical techniques, electrostatics, magnetostatics, elementary circuit theory, electrodynamics, electromagnetic waves and electromagnetic radiation. For the most part the book deals with the microscopic theory, although we also introduce the important subject of macroscopic electromagnetism as well. Nearly all questions end with a series of comments whose purpose is to stimulate inductive reasoning and reach various important conclusions arising from the problem. Occasionally, points of historical interest are also mentioned. Both analytical and numerical techniques are used in obtaining and analyzing solutions. All computer calculations are performed with MathematicaCO (R) and the relevant code is provided in a notebook; either in the solution or the comments.
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