Noether's Theorems: Applications In Mechanics And Field Theory by Gennadi SardanashvilyNoether's Theorems: Applications In Mechanics And Field Theory by Gennadi Sardanashvily

Noether's Theorems: Applications In Mechanics And Field Theory

byGennadi Sardanashvily

Hardcover | March 16, 2016

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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.
Title:Noether's Theorems: Applications In Mechanics And Field TheoryFormat:HardcoverDimensions:297 pages, 23.5 × 15.5 × 0.03 inPublished:March 16, 2016Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:946239170X

ISBN - 13:9789462391703


Table of Contents

Calculus of variations on ï¬bre bundles.- Noether's ï¬rst theorem.- Lagrangian and Hamiltonian ï¬eld 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 ï¬eld theory.- Topological BF theory.

Editorial Reviews

"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)