β Scribed by George W. Bluman, Sukeyuki Kumei (auth.)
No coin nor oath required. For personal study only.
This book provides a comprehensive treatment of symmetry methods and dimensional analysis. The authors discuss aspects of Lie groups of point transformations, contact symmetries, and higher order symmetries that are essential for solving differential equations. Emphasis is given to an algorithmic, computational approach to finding integrating factors and first integrals. Numerous examples including ordinary differential equations arising in applied mathematics are used for illustration and exercise sets are included throughout the text. This book is designed for advanced undergraduate or beginning graduate students of mathematics and physics, as well as researchers in mathematics, physics, and engineering.
Analysis
π SIMILAR VOLUMES
The present book includes a comprehensive treatment of Lie groups of transformations and thorough discussions of basic symmetry methods for solving ordinary and partial differential equations.
In this paper we discuss the package DESOLV written for the algebraic computing system MAPLE. DESOLV has routines which will systematically obtain with considerably flexibility, all resulting integrability conditions for any system of linear, coupled, partial differential equations. It also contains