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Noether's theorems [[electronic resource] ] : applications in mechanics and field theory / / by Gennadi Sardanashvily



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Autore: Sardanashvily Gennadi Visualizza persona
Titolo: Noether's theorems [[electronic resource] ] : applications in mechanics and field theory / / by Gennadi Sardanashvily Visualizza cluster
Pubblicazione: Paris : , : Atlantis Press : , : Imprint : Atlantis Press, , 2016
Edizione: 1st ed. 2016.
Descrizione fisica: 1 online resource (304 p.)
Disciplina: 510
Soggetto topico: Global analysis (Mathematics)
Manifolds (Mathematics)
Mechanics
Mathematical physics
Global Analysis and Analysis on Manifolds
Classical Mechanics
Mathematical Applications in the Physical Sciences
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Noether's theorems  Visualizza cluster
ISBN: 94-6239-171-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910254068203321
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Serie: Atlantis Studies in Variational Geometry, . 2214-0700 ; ; 3