Includes bibliographical references (pages 209-210) and index.
Introduction to symmetries -- Lie symmetries of first-order ODEs -- How to find Lie point symmetries of ODEs -- How to use a one-parameter Lie group -- Lie symmetries with several parameters -- Solution of ODEs with multiparameter Lie groups -- Techniques based on first integrals -- How to obtain Lie point symmetries of PEDs -- Methods for obtaining exact solutions of PEDs -- Classification of invariant solutions -- Discrete symmetries