Applications of Lie's Theory of Ordinary and Partial Differential Equations - Tapa dura

Reseña del editor

This introduction to the application of Lie's theory to the solution of differential equations includes worked examples and problems. The text shows how Lie's group theory of differential equations has applications to both ordinary and partial differential equations.

Reseña del editor

Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new ways to find solutions. The theory has applications to both ordinary and partial differential equations and is not restricted to linear equations.

This textbook provides a concise, simple introduction to the application of Lie's theory to the solution of differential equations. The author emphasises clarity and immediacy of understanding rather than encyclopaedic completeness, rigour and generality. This enables readers quickly to grasp the essentials and start applying the methods to find solutions. Worked examples and problems are drawn from differential equations met in a wide range of scientific and engineering fields.