This book includes a comprehensive treatment of Lie groups of transformations and thorough discussions of basic symmetry methods for solving ordinary and partial differential equations. It is particulary suitable for physicists, applied mathematicians and engineers. In this second edition, the authors have added sections on contact transformations and Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order. References have also been updated.

Bluman was the first modern mathematician in the West to seriously investigate the applications of Lie Groups to differential equations and remains a well-recognized authority on the subject Includes lots of nice exercise sets

Inhalt
Dimensional Analysis, Modeling, and Invariance.- Lie Groups of Transformations and Infinitesimal Transformations.- Ordinary Differential Equations (ODEs).- Partial Differential Equations (PDEs).