The invertible element transformation is a strong software within the research of nonlinear differential and distinction questions. This booklet provides a finished creation to this system. usual and partial differential equations are studied with this process. The e-book additionally covers nonlinear distinction equations. The connections with Lie symmetries, the Painleve estate, first integrals and the Cartan equivalence strategy are mentioned intimately. lots of the reviews are checked with the pc language decrease; the ebook contains 30 lessen courses. a quick creation to the jet package formalism is given.

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