Noether's Theorems
Applications in Mechanics and Field Theory
Published on 16. March 2016
Book
Hardback
XVII, 297 pages
978-94-6239-170-3 (ISBN)
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.
Reviews / Votes
"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)More details
Product info
Book
Series
Edition
1st ed. 2016
Language
English
Place of publication
Paris
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XVII, 297 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 23 mm
Weight
641 gr
ISBN-13
978-94-6239-170-3 (9789462391703)
DOI
10.2991/978-94-6239-171-0
Schweitzer Classification
Other editions
Additional editions
E-Book
03/2016
1st Edition
Atlantis Press
€96.29
Available for download
Content
Calculus of variations on ?bre bundles.- Noether's ?rst theorem.- Lagrangian and Hamiltonian ?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 ?eld theory.- Topological BF theory.