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Reduction, Symmetry, and Phases in Mechanics

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Electronic ISBN: 978-1-4704-0859-6
Product Code: MEMO/88/436.E
List Price: $25.00 MAA Member Price:$22.50
AMS Member Price: $15.00 Click above image for expanded view Reduction, Symmetry, and Phases in Mechanics Available Formats:  Electronic ISBN: 978-1-4704-0859-6 Product Code: MEMO/88/436.E  List Price:$25.00 MAA Member Price: $22.50 AMS Member Price:$15.00
• Book Details

Memoirs of the American Mathematical Society
Volume: 881990; 110 pp
MSC: Primary 58; 70; Secondary 81;

• Chapters
• 1. Some examples
• 2. Reconstruction of dynamics for Hamiltonian systems
• 3. Reconstruction of dynamics for Lagrangian systems
• 4. Ehresmann connections and holonomy
• 5. Reconstruction phases
• 6. Averaging connections
• 7. Existence, uniqueness and curvature of the Hannay-Berry connections
• 8. The Hannay-Berry connection in the presence of additional symmetry
• 9. The Hannay-Berry connection on level sets of the momentum map
• 10. Case I: Bundles of symplectic manifolds with the canonical connection; integrable systems
• 11. Case II: Cartan connections; moving systems
• 12. The Cartan angles; the ball in the hoop and the Foucault pendulum
• 13. Induced connections on the tower of bundles
• 14. The Hannay-Berry connection for general systems
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 881990; 110 pp
MSC: Primary 58; 70; Secondary 81;
• Chapters
• 1. Some examples
• 2. Reconstruction of dynamics for Hamiltonian systems
• 3. Reconstruction of dynamics for Lagrangian systems
• 4. Ehresmann connections and holonomy
• 5. Reconstruction phases
• 6. Averaging connections
• 7. Existence, uniqueness and curvature of the Hannay-Berry connections
• 8. The Hannay-Berry connection in the presence of additional symmetry
• 9. The Hannay-Berry connection on level sets of the momentum map
• 10. Case I: Bundles of symplectic manifolds with the canonical connection; integrable systems
• 11. Case II: Cartan connections; moving systems
• 12. The Cartan angles; the ball in the hoop and the Foucault pendulum
• 13. Induced connections on the tower of bundles
• 14. The Hannay-Berry connection for general systems
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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