Global Aspects of Classical Integrable Systems (Hardcover)

~ (Author), Larry M. Bates (Author) "Physically, the harmonic oscillator in the plane is described by a particle of unit mass acted upon by two linear springs of unit spring constant:..." (more)
Key Phrases: Kepler Hamiltonian, Hamiltonian Hopf

Editorial Reviews

Review

"Ideal for someone who needs a thorough global understanding of one of these systems [and] who would like to learn some of the tools and language of modern geometric mechanics. The exercises at the end of each chapter are excellent. The book could serve as a good supplementary text for a graduate course in geometric mechanics." --SIAM Review

Product Description

This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in the spherical pendulum and the Lagrange top. Also the monodromy obstruction to the existence of global action angle coordinates is calculated for the spherical pendulum and the Lagrange top. The book addresses professional mathematicians and graduate students and can be used as a textbook on advanced classical mechanics or global analysis.

Product Details

• Hardcover: 460 pages
• Publisher: Birkhäuser Basel; 1 edition (February 4, 2004)
• Language: English
• ISBN-10: 3764354852
• ISBN-13: 978-3764354855
• Product Dimensions: 9.3 x 6.7 x 1.1 inches
• Shipping Weight: 2.1 pounds (View shipping rates and policies)
• Average Customer Review: No customer reviews yet. Be the first.
• Amazon.com Sales Rank: #1,451,585 in Books (See Bestsellers in Books)