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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Lectures on Mechanics

Lectures on Mechanics

Marsden, Jerrold E.
Cassels, J. W. S.
Hitchin, N. J.

Paperback

Series: London Mathematical Society Lecture Note, Book 174

General MathematicsPhysics

ISBN10: 0521428440
ISBN13: 9780521428446
Publisher: Cambridge University Press
Published: Apr 30 1992
Pages: 268
Weight: 0.91
Height: 0.71 Width: 6.12 Depth: 9.02
Language: English
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 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.

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