Lie's group theory of differential equations unifies the many ad
hoc methods known for solving differential equations and provides
powerful new ways to find solutions. The theory has applications to
both ordinary and partial differential equations and is not
restricted to linear equations. Applications of Lie's Theory of
Ordinary and Partial Differential Equations provides a concise,
simple introduction to the application of Lie's theory to the
solution of differential equations. The author emphasizes clarity
and immediacy of understanding rather than encyclopedic
completeness, rigor, and generality. This enables readers to
quickly grasp the essentials and start applying the methods to find
solutions. The book includes worked examples and problems from a
wide range of scientific and engineering fields.
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