Noether’s Theorems: Applications in Mechanics and Field Theory (Atlantis Studies in Variational Geometry, 3) by Gennadi Sardanashvily (PDF)

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Ebook Info

  • Published: 2016
  • Number of pages: 314 pages
  • Format: PDF
  • File Size: 2.72 MB
  • Authors: Gennadi Sardanashvily

Description

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.

User’s Reviews

Editorial Reviews: Review “This book contains a systematic and detailed approach to Lagrangian systems through the variational bicomplex providing a very general geometric and algebraic view of the variational calculus. … The book is very well written in a clear and direct style containing very helpful cross references. In addition the book under review includes 4 appendices which make the presentation self contained.” (Miguel Paternain, zbMATH 1357.58002, 2017) From the Back Cover 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.

Keywords

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