Applications of Lie groups to differential equations

Description

Symmetry methods have long been recognized to be of great importance for the study of the differential equations. This book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented so that graduate students and researchers can readily learn to use them. Following an exposition of the applications, the book develops the underlying theory. Many of the topics are presented in a novel way, with an emphasis on explicit examples and computations. Further examples, as well as new theoretical developments, appear in the exercises at the end of each chapter.

First Sentence

Roughly speaking, a Lie group is a "group" which is also a "manifold".

Subjects

Series Statement

• Graduate texts in mathematics ;
• 107

Other Editions

• Applications of Lie groups to differential equationsSpringer-Verlag1993-01-01
• Applications of Lie groups to differential equationsSpringer-Verlag1986-01-01
• Applications of Lie Groups to Differential EquationsSpringer2000-01-21
• Applications of Lie Groups to Differential EquationsSpringer London, Limited2012-01-01
• Applications of Lie Groups to Differential EquationsPaperbackSpringer2012-02-05
• Applications of Lie Groups to Differential EquationspaperbackSpringer2012-07-31