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Record Nr. |
UNINA9910254068203321 |
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Autore |
Sardanashvily Gennadi |
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Titolo |
Noether's theorems : applications in mechanics and field theory / / by Gennadi Sardanashvily |
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Pubbl/distr/stampa |
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Paris : , : Atlantis Press : , : Imprint : Atlantis Press, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (304 p.) |
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Collana |
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Atlantis Studies in Variational Geometry, , 2214-0700 ; ; 3 |
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Disciplina |
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Soggetti |
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Global analysis (Mathematics) |
Manifolds (Mathematics) |
Mechanics |
Mathematical physics |
Global Analysis and Analysis on Manifolds |
Classical Mechanics |
Mathematical Applications in the Physical Sciences |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Calculus of variations on fibre bundles -- Noether’s first theorem -- Lagrangian and Hamiltonian field theories -- Lagrangian and Hamiltonian nonrelativistic mechanics -- Global Kepler problem -- Calculus of variations on graded bundles -- Noether’s second theorems -- Yang–Mills gauge theory on principal bundles -- SUSY gauge theory on principal graded bundles -- Gauge gravitation theory on natural bundles -- Chern–Simons topological field theory -- Topological BF theory. |
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Sommario/riassunto |
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The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws. Within this general context the first and second Noether theorems are treated in the very general setting of reducible degenerate graded Lagrangian theory. |
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