Description
Book SynopsisThis book presents ordinary differential equations based on Lie group analysis and related invariance principles. The author provides students and teachers with a text for one-semester undergraduate and graduate courses that spans a variety of topics, from the basic theory through to applications.
Trade Review"…this is the first self-contained university text on ordinary differential equations…" (Zentralblatt Math, Vol.1047, No.22, 2004)
Table of ContentsIntroduction to Differential Equations.
Transformation Groups.
Lie Group Analysis of Ordinary Differential Equations.
Brief on Lie Algebras.
First Order Differential Equations.
Integration of Second Order Equations.
Basic Theory of Linear Equations.
Nonlinear Second Order Equations.
Integration of Third Order Equations.
Nonlinear Superposition Principle.
Index.
