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Lectures on Mechanics -

Lectures on Mechanics (ISBN10: 0521428440; ISBN13: 9780521428446)
ISBN13: 978-0521428446
ISBN10: 0521428440

Summary: The use of geometric methods in classical mechanics has proven fruitful, with wide applications in physics and engineering. In this book, Professor Marsden concentrates on these geometric aspects, 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 ...show more 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. ...show less

Cover: Paperback
Publisher: Cambridge University Press
Published: 05/28/1992
International: No



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1992 Paperback NEAR FINE Paperback, 268pp., This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. *****PLEASE NOTE: This item is shippin ...show moreg from an authorized seller in Europe. In the event that a return is necessary, you will be able to return your item within the US. To learn more about our European sellers and policies see the BookQuest FAQ section***** ...show less
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