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Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
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Lectures on Mechanics (Paperback)
Loot Price: R1,956
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Lectures on Mechanics (Paperback)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 12 - 17 working days
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The use of geometric methods in classical mechanics has proven to
be a fruitful exercise, with the results being of wide application
to physics and engineering. Here Professor Marsden concentrates on
these geometric aspects, and especially on symmetry techniques. The
main points he covers are: the stability of relative equilibria,
which is analyzed using the block diagonalization technique;
geometric phases, studied using the reduction and reconstruction
technique; and bifurcation of relative equilibria and chaos in
mechanical systems. A unifying theme for these points is provided
by reduction theory, the associated mechanical connection and
techniques from dynamical systems. These methods can be applied to
many control and stabilization situations, and this is illustrated
using rigid bodies with internal rotors, and the use of geometric
phases in mechanical systems. To illustrate the above ideas and the
power of geometric arguments, the author studies a variety of
specific systems, including the double spherical pendulum and the
classical rotating water molecule. This book, based on the 1991 LMS
Invited Lectures, will be valued by pure and applied
mathematicians, physicists and engineers who work in geometry,
nonlinear dynamics, mechanics, and robotics.
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