The Geometry Of Jet Bundles by D. J. SaundersThe Geometry Of Jet Bundles by D. J. Saunders

The Geometry Of Jet Bundles

byD. J. Saunders

Paperback | March 31, 1989

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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.
Title:The Geometry Of Jet BundlesFormat:PaperbackDimensions:304 pages, 8.98 × 5.98 × 0.67 inPublished:March 31, 1989Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521369487

ISBN - 13:9780521369480

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Table of Contents

Introduction; 1. Bundles; 2. Linear bundles; 3. Linear operations on general bundles; 4. First-order jet bundles; 5. Second-order jet bundles; 6. Higher-order jet bundles; 7. Infinite jet bundles; Bibliography; Glossary of symbols; Index.