Förlagets beskrivning
This book provides a comprehensive treatment of symmetry methods and
dimensional analysis. The authors discuss aspects of Lie groups of point
transformations, contact symmetries, and higher order symmetries that are
essential for solving differential equations. Emphasis is given to an
algorithmic, computational approach to finding integrating factors and first
integrals. Numerous examples including ordinary differential equations arising
in applied mathematics are used for illustration and exercise sets are included
throughout the text.This book is designed for advanced undergraduate or
beginning graduate students of mathematics and physics, as well as researchers
in mathematics, physics, and engineering. This title includes a comprehensive treatment of Lie groups of
transformations and thorough discussions of basic symmetry methods for solving
ordinary and partial differential equations. This second edition has added
sections on contact transformations and Lie-B cklund transformations and
more.
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Symmetry and Integration Methods for Differential Equations
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