Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Jet bundles (Mathematics) --- Geometry, Differential. --- Differential geometry --- Global analysis (Mathematics) --- Manifolds (Mathematics) --- Vector bundles --- Differential geometry. Global analysis --- Jet bundles (Mathematics). --- Géometrie différentielle --- Géometrie différentielle --- Variétés différentiables --- Jets

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This is a comprehensive exposition of topics covered by the American Mathematical Society's classification "Global Analysis?, dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and dif

Mathematical physics --- Global analysis (Mathematics) --- Mathematical physics.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Human medicine