Screen LibraryGeometric mechanics, and symmetry：from finite to infinite dimensions/
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| Main Authors: | |
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| Group Author: | ; |
| Published: |
Oxford University Press,
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| Publisher Address: | New York |
| Publication Dates: | 2009. |
| Literature type: | Book |
| Language: | English |
| Series: |
Oxford texts in applied and engineering mathematics ; 12 |
| Subjects: | |
| Carrier Form: | xvi, 515 p.: ill. (some col.) ; 24 cm. |
| ISBN: |
9780199212903 (hardback) 0199212902 (hardback) 9780199212910 (pbk.) 0199212910 (pbk.) |
| Index Number: | O302 |
| CLC: |
O302 O18 |
| Call Number: | O302/H747 |
| Contents: |
Includes bibliographical references and index. Lagrangian and Hamiltonian mechanics -- Manifolds -- Geometry on manifolds -- Mechanics on manifolds -- Lie groups and Lie algebras -- Group actions, symmetries, and reduction -- Euler-Poincaré reduction : rigid body and heavy top -- Momentum maps -- L After a summary of the necessary elements of calculus on smooth manifolds and basic Lie group threory, the main body of the text considers how symmetry reduction of Hamilton's principle allows one to derive and analyse the Euler-Poincaré equations. |