The Geometry of Jet Bundles by D J Saunders

The Geometry of Jet Bundles by D J Saunders

The purpose of this book is to provide an introduction to the theory of jet bundles for mathematicians and physicists who wish to study differential equations, particularly those associated with the calculus of variations, in a modern geometric way. One of the themes of the book is that first-order jets may be considered as the natural generalisation of vector fields for studying variational problems in field theory, and so many of the constructions are introduced in the context of first- or second-order jets, before being described in their full generality. The book includes a proof of the local exactness of the variational bicomplex. A knowledge of differential geometry is assumed by the author, although introductory chapters include the necessary background of fibred manifolds, and on vector and affine bundles. Coordinate-free techniques are used throughout, although coordinate representations are often used in proofs and when considering applications.

SKU	Unavailable
ISBN 13	9780521369480
ISBN 10	0521369487
Title	The Geometry of Jet Bundles
Author	D J Saunders
Series	London Mathematical Society Lecture Note Series
Condition	Unavailable
Binding Type	Paperback
Publisher	Cambridge University Press
Year published	1989-03-09
Number of pages	304
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.