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OverviewThe 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. Full Product DetailsAuthor: Gennadi SardanashvilyPublisher: Atlantis Press (Zeger Karssen) Imprint: Atlantis Press (Zeger Karssen) Edition: 2016 ed. Volume: 3 Dimensions: Width: 15.50cm , Height: 1.90cm , Length: 23.50cm Weight: 5.974kg ISBN: 9789462391703ISBN 10: 946239170 Pages: 297 Publication Date: 16 March 2016 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsCalculus 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.ReviewsThis 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) “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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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