Geometric mechanics and symmetry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York
Oxford University Press
2009
|
| Series: | Oxford texts in applied and engineering mathematics
12 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (pages 504-508) 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 -- Lie-Poisson reduction -- Pseudo-rigid bodies -- EPDiff -- EPDiff solution behavior -- Integrability of EPDiff in 1D -- EPDiff in n dimensions -- Computational anatomy : contour matching using EPDiff -- Computational anatomy : Euler-Poincaré image matching -- Continuum equations with advection -- Euler-Poincaré theorem for geophysical fluid dynamics Classical mechanics, one of the oldest branches of science, has undergone a long evolution, developing hand in hand with many areas of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of Lagrangian and Hamiltonian mechanics, in the coordinate-free language of differential geometry, are elegant and general. They provide a unifying framework for many seemingly disparate physical systems, such asn-particle systems, rigid bodies, fluids and other continua, and electromagnetic and quantum systems. Geometric Mechanics and S. |
| Physical Description: | 1 Online-Ressource (xvi, 515 pages) |
| ISBN: | 019154986X 9780191549861 |
Staff View
MARC
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Record in the Search Index
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| author | Holm, Darryl D. |
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| author_role | aut |
| author_sort | Holm, Darryl D. |
| author_variant | d d h dd ddh |
| building | Verbundindex |
| bvnumber | BV043130038 |
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| dewey-full | 531.01/516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531.01/516 |
| dewey-search | 531.01/516 |
| dewey-sort | 3531.01 3516 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043130038 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:21Z |
| institution | BVB |
| isbn | 019154986X 9780191549861 |
| language | English |
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| oclc_num | 489471462 |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xvi, 515 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Oxford University Press |
| record_format | marc |
| series2 | Oxford texts in applied and engineering mathematics |
| spelling | Holm, Darryl D. Verfasser aut Geometric mechanics and symmetry Darryl D. Holm, Tanya Schmah, Cristina Stoica ; with solutions to selected exercises by David C.P. Ellis New York Oxford University Press 2009 1 Online-Ressource (xvi, 515 pages) txt rdacontent c rdamedia cr rdacarrier Oxford texts in applied and engineering mathematics 12 Includes bibliographical references (pages 504-508) 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 -- Lie-Poisson reduction -- Pseudo-rigid bodies -- EPDiff -- EPDiff solution behavior -- Integrability of EPDiff in 1D -- EPDiff in n dimensions -- Computational anatomy : contour matching using EPDiff -- Computational anatomy : Euler-Poincaré image matching -- Continuum equations with advection -- Euler-Poincaré theorem for geophysical fluid dynamics Classical mechanics, one of the oldest branches of science, has undergone a long evolution, developing hand in hand with many areas of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of Lagrangian and Hamiltonian mechanics, in the coordinate-free language of differential geometry, are elegant and general. They provide a unifying framework for many seemingly disparate physical systems, such asn-particle systems, rigid bodies, fluids and other continua, and electromagnetic and quantum systems. Geometric Mechanics and S. SCIENCE / Mechanics / General bisacsh SCIENCE / Mechanics / Solids bisacsh Geometry fast Mechanics fast Symmetry (Mathematics) fast Mechanics Geometry Symmetry (Mathematics) Theoretische Mechanik (DE-588)4185100-6 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Theoretische Mechanik (DE-588)4185100-6 s Differentialgeometrie (DE-588)4012248-7 s 1\p DE-604 Schmah, Tanya Sonstige oth Stoica, Cristina Sonstige oth Erscheint auch als Druck-Ausgabe, Hardcover 978-0-19-921290-3 Erscheint auch als Druck-Ausgabe, Paperback 978-0-19-921291-0 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=298455 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Holm, Darryl D. Geometric mechanics and symmetry SCIENCE / Mechanics / General bisacsh SCIENCE / Mechanics / Solids bisacsh Geometry fast Mechanics fast Symmetry (Mathematics) fast Mechanics Geometry Symmetry (Mathematics) Theoretische Mechanik (DE-588)4185100-6 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4185100-6 (DE-588)4012248-7 |
| title | Geometric mechanics and symmetry |
| title_auth | Geometric mechanics and symmetry |
| title_exact_search | Geometric mechanics and symmetry |
| title_full | Geometric mechanics and symmetry Darryl D. Holm, Tanya Schmah, Cristina Stoica ; with solutions to selected exercises by David C.P. Ellis |
| title_fullStr | Geometric mechanics and symmetry Darryl D. Holm, Tanya Schmah, Cristina Stoica ; with solutions to selected exercises by David C.P. Ellis |
| title_full_unstemmed | Geometric mechanics and symmetry Darryl D. Holm, Tanya Schmah, Cristina Stoica ; with solutions to selected exercises by David C.P. Ellis |
| title_short | Geometric mechanics and symmetry |
| title_sort | geometric mechanics and symmetry |
| topic | SCIENCE / Mechanics / General bisacsh SCIENCE / Mechanics / Solids bisacsh Geometry fast Mechanics fast Symmetry (Mathematics) fast Mechanics Geometry Symmetry (Mathematics) Theoretische Mechanik (DE-588)4185100-6 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | SCIENCE / Mechanics / General SCIENCE / Mechanics / Solids Geometry Mechanics Symmetry (Mathematics) Theoretische Mechanik Differentialgeometrie |
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