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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	516.1
書名/作者:	Noether's theorems : applications in mechanics and field theory // by Gennadi Sardanashvily.
作者:	Sardanashvily, Gennadi.
出版者:	Paris : : Atlantis Press :, 2016.
面頁冊數:	xvii, 297 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Lagrange equations.
標題:	Noether's theorem.
標題:	Global Analysis and Analysis on Manifolds.
標題:	Mechanics.
標題:	Mathematical Applications in the Physical Sciences.
ISBN:	9789462391710
ISBN:	9789462391703
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.2991/978-94-6239-171-0

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

Noether's theoremsapplications in mechanics and field theory /[electronic resource] :by Gennadi Sardanashvily. - Paris :Atlantis Press :2016. - xvii, 297 p. :ill., digital ;24 cm. - Atlantis studies in variational geometry,v.32214-0700 ;. - Atlantis studies in variational geometry ;v.1..

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.

ISBN: 9789462391710

Standard No.: 10.2991/978-94-6239-171-0doiSubjects--Topical Terms:

490392
Lagrange equations.

LC Class. No.: QA614.8

Dewey Class. No.: 516.1

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