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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
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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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 88; 1990; 110 ppMSC: Primary 58; 70; Secondary 81;
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Table of Contents
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Chapters
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1. Some examples
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2. Reconstruction of dynamics for Hamiltonian systems
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3. Reconstruction of dynamics for Lagrangian systems
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4. Ehresmann connections and holonomy
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5. Reconstruction phases
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6. Averaging connections
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7. Existence, uniqueness and curvature of the Hannay-Berry connections
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8. The Hannay-Berry connection in the presence of additional symmetry
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9. The Hannay-Berry connection on level sets of the momentum map
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10. Case I: Bundles of symplectic manifolds with the canonical connection; integrable systems
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11. Case II: Cartan connections; moving systems
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12. The Cartan angles; the ball in the hoop and the Foucault pendulum
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13. Induced connections on the tower of bundles
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14. The Hannay-Berry connection for general systems
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- Book Details
- Table of Contents
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- Request Review Copy
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Volume: 88; 1990; 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
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