03392nam 22006615 450 991025406820332120220408163735.094-6239-171-810.2991/978-94-6239-171-0(CKB)3710000000621859(EBL)4454237(OCoLC)945367028(SSID)ssj0001654111(PQKBManifestationID)16433180(PQKBTitleCode)TC0001654111(PQKBWorkID)14982939(PQKB)10768815(DE-He213)978-94-6239-171-0(MiAaPQ)EBC4454237(PPN)192770365(EXLCZ)99371000000062185920160307d2016 u| 0engur|n|---|||||txtccrNoether's theorems applications in mechanics and field theory /by Gennadi Sardanashvily1st ed. 2016.Paris :Atlantis Press :Imprint: Atlantis Press,2016.1 online resource (304 p.)Atlantis Studies in Variational Geometry,2214-0700 ;3Description based upon print version of record.94-6239-170-X Includes bibliographical references and index.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.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.Atlantis Studies in Variational Geometry,2214-0700 ;3Global analysis (Mathematics)Manifolds (Mathematics)MechanicsMathematical physicsGlobal Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Global analysis (Mathematics).Manifolds (Mathematics).Mechanics.Mathematical physics.Global Analysis and Analysis on Manifolds.Classical Mechanics.Mathematical Applications in the Physical Sciences.510Sardanashvily Gennadiauthttp://id.loc.gov/vocabulary/relators/aut756008BOOK9910254068203321Noether's theorems1523504UNINA