An Introduction to the Lie Theory of One-Parameter Groups: With Applications to the Solution of Differential Equations

Description

Cantwell's first exposure to Lie symmetry methods (Introduction to Symmetry Analysis p. 3, PDF pp. 47)

I ran across the book by Abraham Cohen [1.3], first published in 1911. The first few chapters of this book give a very lucid description of the concept of a Lie group and the idea of invariance under a group. Cohen’s book makes interesting reading when one realizes that at the time it was written, Sophus Lie’s ideas were still a brand-new development, yet they were seen as important enough to warrant a full-blown textbook treatment.

AMS review

from Mathematics Genealogy Project:

Abraham Cohen

Ph.D. The Johns Hopkins University 1894

Dissertation: On a Certain Class of Functions Analogous to the Theta Functions