The Geometry of Jet Bundles
Book information
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.
Similar books
The Geometry of Jet Bundles
1989 · PDF
The geometry of jet bundles
1989 · DJVU
Cosmical Electrodynamics, 2nd Ed. (International Series of Monographs on Physics)
1963 · DJVU
Theory of Knowledge: An Introduction
1976 · DJVU
Introduction to Stochastic Processes with Special Reference to Methods and Applications
DJVU
Dynamical Theory of Crystal Lattices (The International series of monographs on physics)
1998 · DJVU
Communism and China: Ideology in Flux
1970 · DJVU
American Piety: The Nature of Religious Commitment (Patterns of Religious Commitment)
1970 · DJVU