The Geometry of Jet Bundles (London Mathematical Society by D. J. Saunders

By D. J. Saunders

the aim of this e-book is to supply an advent to the speculation of jet bundles for mathematicians and physicists who desire to research differential equations, rather these linked to the calculus of diversifications, in a contemporary geometric method. one of many issues of the ebook is that first-order jets could be regarded as the usual generalisation of vector fields for learning variational difficulties in box concept, and such a lot of of the structures are brought within the context of first- or second-order jets, earlier than being defined of their complete generality. The booklet incorporates a facts of the neighborhood exactness of the variational bicomplex. an information of differential geometry is believed via the writer, even though introductory chapters contain the required historical past of fibred manifolds, and on vector and affine bundles. Coordinate-free ideas are used all through, even though coordinate representations are usually utilized in proofs and while contemplating applications.

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