Momentum Maps and Hamiltonian Reduction

By Tudor S Ratiu and Juan-Pablo Ortega

Book Overview

The use of symmetries and conservation laws in the qualitative description of dynamics has a long history going back to the founders of classical mechanics. The focus of this work is a comprehensive and self-contained presentation of the intimate connection between symmetries, conservation laws, and reduction, treating the singular case in detail. This Ferran Sunyer i Balaguer Prize-winning monograph is the first self-contained and thorough presentation of the theory of Hamiltonian reduction in the presence of singularities. It can serve as a resource for graduate courses and seminars in symplectic and Poisson geometry, mechanics, Lie theory, mathematical physics, and as a comprehensive reference resource for researchers.

• Format: Paperback
• Language: English
• ISBN: 1475738137
• ISBN13: 9781475738131
• Release Date: February 2013
• Publisher: Birkhauser
• Length: 501 Pages
• Weight: 1.64 lbs.
• Dimensions: 1.1" x 6.1" x 9.2"