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Dive into the world of partial differential equations with “Lie’s Structural Approach to PDE Systems.” This groundbreaking volume, part of the Encyclopedia of Mathematics & Its Applications series, offers a clear and thorough introduction to the differential geometric study of PDEs. It uniquely bypasses power series, presenting a novel approach to general and nonlinear PDE systems based on the foundational work of Lie, Cartan, and Vessiot. Explore the power of singular vector field systems and their first integrals, leading to in-depth coverage of local Lie groups, Lie pseudogroups, and the equivalence problem. An essential resource for graduate students and researchers in partial differential equations, Lie groups, and related mathematical fields. Discover a new structural perspective on PDEs at The Bookish Owl.
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