Lectures on Mechanics (London Mathematical Society Lecture - download pdf or read online

By Jerrold E. Marsden

using geometric tools in classical mechanics has confirmed to be a fruitful workout, with the consequences being of huge program to physics and engineering. right here Professor Marsden concentrates on those geometric features, and particularly on symmetry recommendations. the details he covers are: the soundness of relative equilibria, that's analyzed utilizing the block diagonalization process; geometric stages, studied utilizing the relief and reconstruction method; and bifurcation of relative equilibria and chaos in mechanical platforms. A unifying subject for those issues is supplied via relief conception, the linked mechanical connection and strategies from dynamical structures. those equipment could be utilized to many regulate and stabilization occasions, and this can be illustrated utilizing inflexible our bodies with inner rotors, and using geometric levels in mechanical structures. to demonstrate the above rules and the facility of geometric arguments, the writer stories numerous particular structures, together with the double round pendulum and the classical rotating water molecule. This ebook, in keeping with the 1991 LMS Invited Lectures, should be valued through natural and utilized mathematicians, physicists and engineers who paintings in geometry, nonlinear dynamics, mechanics, and robotics.

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Lectures on Mechanics (London Mathematical Society Lecture Note Series) by Jerrold E. Marsden

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