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Serves as an introduction for solving differential equations using Lie's theory and related results. This book covers Loewy's theory, Janet bases, the theory of continuous groups of a 2-D manifold, Lie's symmetry analysis, and equivalence problems.
As the most complete text on closed form solutions of linear partial differential equations, this book's coverage of the generalization of Loewy's decomposition includes more than fifty worked out examples and exercises in addition to their solutions.
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