Geometry of Jet Bundles by D.J. Saunders
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Geometry of Jet Bundles
By D.J. Saunders

The Geometry of Jet Bundles

By (author) See other recent books by D.J. Saunders
Series edited by N. J. Hitchin See other recent books by N. J. Hitchin
Format: Paperback

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Geometry of Jet Bundles by D.J. Saunders

Book Description

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.

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Book Details

ISBN: 9780521369480
ISBN-10: 0521369487
Format: Paperback
(228mm x 152mm x 17mm)
Pages: 304
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 9-Mar-1989
Country of Publication: United Kingdom

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