Noether's Theorems
Applications in Mechanics and Field Theory
Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Science, Physics, Mechanics
| Author: | Gennadi Sardanashvily | ISBN: | 9789462391710 |
| Publisher: | Atlantis Press | Publication: | March 18, 2016 |
| Imprint: | Atlantis Press | Language: | English |
| Author: | Gennadi Sardanashvily |
| ISBN: | 9789462391710 |
| Publisher: | Atlantis Press |
| Publication: | March 18, 2016 |
| Imprint: | Atlantis Press |
| Language: | English |
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.
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.
