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Noether's Theorems Applications in Mechanics and Field 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 conservat...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sardanashvily, Gennadi (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Paris : Atlantis Press : Imprint: Atlantis Press, 2016.
Edición:1st ed. 2016.
Colección:Atlantis Studies in Variational Geometry, 3
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.