I am interested in learning the theory of Jet bundles, and am aware of the standard reference "The geometry of jet bundles" by D. J. Saunders. However this appears to be a detailed book, suitable for those who wish to specialise in this area. Can somebody recommend a relatively more introductory book (for a reader who knows the necessary differential geometric pre-requisites for learning this subject, but has never encountered Jet bundles) ? Thanks so much !
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5$\begingroup$ The book "Exterior differential systems" has a section on Jet bundles, but maybe less than you're looking for. link.springer.com/book/10.1007%2F978-1-4613-9714-4 $\endgroup$– Ian AgolCommented Dec 20, 2020 at 5:23
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Two articles by A.M. Vinogradov provide a gentle introduction:
"Local symmetries and conservation laws", Acta Applicandae Mathematica volume 2, pages 21–78(1984)
"An informal introduction to the geometry of jet spaces", available here.
