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Noether's theorems = applications in...

Sardanashvily, Gennadi.

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Noether's theorems = applications in mechanics and field theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Noether's theorems/ by Gennadi Sardanashvily.
Reminder of title:	applications in mechanics and field theory /
Author:	Sardanashvily, Gennadi.
Published:	Paris :Atlantis Press : : 2016.,
Description:	xvii, 297 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Lagrange equations. -
Online resource:	http://dx.doi.org/10.2991/978-94-6239-171-0
ISBN:	9789462391710

Noether's theorems = 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:

888591
Lagrange equations.

LC Class. No.: QA614.8

Dewey Class. No.: 516.1

Noether's theorems = applications in mechanics and field theory /
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100 1 $a Sardanashvily, Gennadi. $3 2186947
245 1 0 $a Noether's theorems $h [electronic resource] : $b applications in mechanics and field theory / $c by Gennadi Sardanashvily.
260 $a Paris : $b Atlantis Press : $b Imprint: Atlantis Press, $c 2016.
300 $a xvii, 297 p. : $b ill., digital ; $c 24 cm.
490 1 $a Atlantis studies in variational geometry, $x 2214-0700 ; $v v.3
505 0 $a 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.
520 $a 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.
650 0 $a Lagrange equations. $3 888591
650 0 $a Noether's theorem. $3 1531475
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 891107
650 2 4 $a Mechanics. $3 525881
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
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830 0 $a Atlantis studies in variational geometry ; $v v.1. $3 2134225
856 4 0 $u http://dx.doi.org/10.2991/978-94-6239-171-0
950 $a Mathematics and Statistics (Springer-11649)