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＜電子ブック＞
Noether's Theorems : Applications in Mechanics and Field Theory / by Gennadi Sardanashvily
(Atlantis Studies in Variational Geometry. ISSN:22140719 ; 3)

版	1st ed. 2016.
出版者	(Paris : Atlantis Press : Imprint: Atlantis Press)
出版年	2016
大きさ	XVII, 297 p : online resource
著者標目	*Sardanashvily, Gennadi author SpringerLink (Online service)
件　名	LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Mechanics LCSH:Mathematical physics FREE:Global Analysis and Analysis on Manifolds FREE:Classical Mechanics FREE:Mathematical Physics
一般注記	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 HTTP:URL=https://doi.org/10.2991/978-94-6239-171-0

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