Noether's Theorems

Applications in Mechanics and Field Theory

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Science, Physics, Mechanics
Cover of the book Noether's Theorems by Gennadi Sardanashvily, Atlantis Press
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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.

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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.

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