Geometry

Download E-books The Geometry of Jet Bundles (London Mathematical Society Lecture Note Series) PDF

By D. J. Saunders

The aim of this booklet is to supply an advent to the idea of jet bundles for mathematicians and physicists who desire to learn differential equations, relatively these linked to the calculus of diversifications, in a latest geometric approach. one of many subject matters of the publication is that first-order jets might be regarded as the average generalisation of vector fields for learning variational difficulties in box thought, and such a lot of of the structures are brought within the context of first- or second-order jets, ahead of being defined of their complete generality. The ebook contains a evidence of the neighborhood exactness of the variational bicomplex. a data of differential geometry is believed by means of the writer, even though introductory chapters contain the required historical past of fibred manifolds, and on vector and affine bundles. Coordinate-free innovations are used all through, even though coordinate representations are usually utilized in proofs and whilst contemplating functions.

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