Wow! eBook
The Geometry of Jet Bundles 2nd Edition
Author(s): D. J. Saunders (Author)
- Publisher: Cambridge University Press
- Publication Date: 30 Jun. 2026
- Edition: 2nd
- Language: English
- Print length: 398 pages
- ISBN-10: 1009743074
- ISBN-13: 9781009743075
Book Description
Now in its second edition, this book provides a detailed introduction to the theory of jet bundles. It is written for mathematicians and physicists who wish to study differential equations, particularly those associated with the calculus of variations, in a modern geometric way. A knowledge of differential geometry is assumed, although introductory chapters include the necessary background of fibred manifolds, and on vector and affine bundles. The book explores how 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. It features a proof of the local exactness of the variational bicomplex. This edition includes new chapters on velocity bundles and bundles of contact elements, together with updated material on the calculus of variations.
