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Noether's Theorems: Applications in Mechanics and Field Theory
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Catalogue Information
Field name
Details
Dewey Class
514.74
Title
Noether's Theorems ([EBook]) : Applications in Mechanics and Field Theory / by Gennadi Sardanashvily.
Author
Sardanashvily, Gennadi Aleksandrovitch , 1950-
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2016.
Publication
Paris : Atlantis Press , , 2016.
Physical Details
XVII, 297 pages : online resource.
Series
Atlantis Studies in Variational Geometry
2214-0700 ; ; 3
ISBN
9789462391710
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.2991/978-94-6239-171-0
Links to Related Works
Subject References:
Global Analysis and Analysis on Manifolds
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Global analysis (Mathematics)
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Manifolds (Mathematics)
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Mathematical Applications in the Physical Sciences
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Mathematical Physics
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Mathematics
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Mechanics
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Authors:
Sardanashvily, Gennadi Aleksandrovitch 1950-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Atlantis Studies in Variational Geometry
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Classification:
514.74
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