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Lectures in Classical Mechanics - With Solved Problems and Exercises (Paperback, 1st ed. 2020)
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Lectures in Classical Mechanics - With Solved Problems and Exercises (Paperback, 1st ed. 2020)
Series: Undergraduate Lecture Notes in Physics
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This exceptionally well-organized book uses solved problems and
exercises to help readers understand the underlying concepts of
classical mechanics; accordingly, many of the exercises included
are of a conceptual rather than practical nature. A minimum of
necessary background theory is presented, before readers are asked
to solve the theoretical exercises. In this way, readers are
effectively invited to discover concepts on their own. While more
practical exercises are also included, they are always designed to
introduce readers to something conceptually new. Special emphasis
is placed on important but often-neglected concepts such as
symmetries and invariance, especially when introducing vector
analysis in Cartesian and curvilinear coordinates. More difficult
concepts, including non-inertial reference frames, rigid body
motion, variable mass systems, basic tensorial algebra, and
calculus, are covered in detail. The equations of motion in
non-inertial reference systems are derived in two independent ways,
and alternative deductions of the equations of motion for variable
mass problems are presented. Lagrangian and Hamiltonian
formulations of mechanics are studied for non-relativistic cases,
and further concepts such as inertial reference frames and the
equivalence principle are introduced and elaborated on.
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