Noether's Theorems

Applications in Mechanics and Field Theory

AvGennadi Sardanashvily

Inbunden, Engelska, 2016

Del 3 i serien Atlantis Studies in Variational Geometry

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2016-03-16
Mått:155 x 235 x 23 mm
Vikt:641 g
Format:Inbunden
Språk:Engelska
Serie:Atlantis Studies in Variational Geometry
Antal sidor:297
Upplaga:2016
Förlag:Atlantis Press (Zeger Karssen)
ISBN:9789462391703

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Recensioner i media

"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)

Innehållsförteckning

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.