Noether's Theorems: Applications in Mechanics and Field Theory
Gennadi Sardanashvily, "Noether's Theorems: Applications in Mechanics and Field Theory"
2016 | ISBN-10: 946239170X | 316 pages | EPUB | 5 MB
2016 | ISBN-10: 946239170X | 316 pages | EPUB | 5 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.