Noether's Theorems: Applications in Mechanics and Field Theory (Atlantis Studies in Variational Geometry
Gennadi Sardanashvily, "Noether's Theorems: Applications in Mechanics and Field Theory (Atlantis Studies in Variational Geometry "
English | ISBN: 946239170X | 2016 | 314 pages | PDF | 3 MB
English | ISBN: 946239170X | 2016 | 314 pages | PDF | 3 MB
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.