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Noether's Theorems : Applications in Mechanics and Field Theory / by Gennadi Sardanashvily.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Author/Creator:
- Sardanashvily, Gennadi., Author.
- Series:
- Atlantis Studies in Variational Geometry, 2214-0719 ; 3
- Language:
- English
- Subjects (All):
- Global analysis (Mathematics).
- Manifolds (Mathematics).
- Mechanics.
- Mathematical physics.
- Global Analysis and Analysis on Manifolds.
- Classical Mechanics.
- Mathematical Physics.
- Local Subjects:
- Global Analysis and Analysis on Manifolds.
- Classical Mechanics.
- Mathematical Physics.
- Physical Description:
- 1 online resource (304 p.)
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Paris : Atlantis Press : Imprint: Atlantis Press, 2016.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 94-6239-171-8
- OCLC:
- 945367028
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