Based on lectures by a renowned educator, this book focuses on continuous groups, particularly in terms of applications in geometry and analysis. The author's unique perspectives are illustrated by numerous inventive geometric examples, many of which were inspired by footnotes among the work of Sophus Lie. 1971 edition. Reprint of The MIT Press, Cambridge, Massachusetts, 1971 edition.
Continuous Groups of Transformations by Luther Pfahler Eisenhart Intensive study of theory and geometrical applications of continuous groups of transformations features discussions of tensor analysis, Riemannian geometry, and applications of theory of continuous groups to modern physics. 1933 edition.
Lie Groups, Lie Algebras, and Some of Their Applications by Robert Gilmore This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.
