Solution of Ordinary Differential Equations by Continuous Groups (Hardcover)

BACKGROUND
Introduction
Continuous One-Parameter Group-I
Group Concept
Infinitesimal Transformation
Global Group Equations
Problems
Method of Characteristics
Theory
Examples
Problems
Continuous One-Parameter Group-II
Invariance
The Once-Extended Group
Higher-Order Extended Groups
Problems
ORDINARY DIFFERENTIAL EQUATIONS
First-Order ODEs
Invariance Under a One-Paramter Group
Canonical Coordinates
Special Procedures
Compendium
Examples
Problems
Higher-Order ODEs
Invariant Equations
Finding the Groups
System of First-Order ODEs
Compendium
Examples
Problems
Second-Order ODEs
Classification of Two-Parameter Groups
Invariance and Canonical Coordinates
Compendium
Examples
Problems
APPENDICES
Bibilography and References
The Rotation Group
Basic Relations
Tables'
Answers to Selected Problems