Del 3 - Atlantis Studies in Variational Geometry

Noether's Theorems

Applications in Mechanics and Field Theory

Inbunden, Engelska, 2016

Av Gennadi Sardanashvily

1 349 kr

Beställningsvara. Skickas inom 7-10 vardagar

Fri frakt för medlemmar vid köp för minst 249 kr.

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

Utgivningsdatum2016-03-16
Mått155 x 235 x 23 mm
Vikt641 g
FormatInbunden
SpråkEngelska
SerieAtlantis Studies in Variational Geometry
Antal sidor297
Upplaga2016
FörlagAtlantis Press (Zeger Karssen)
ISBN9789462391703

Tillhör följande kategorier

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.

“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)