Author Description

Sophus Lie had a tremendous impact in several areas of mathematics. His work centered on understanding continuous transformation groups and showing how these groups supply an organizing principle for different areas of mathematics, including geometry, mechanics, and partial differential equations. This is his main treatise on the theory of transformation groups. The Bible of transformation groups; a work of vast range and great originality. It is written with especial simplicity of language. There are frequent resumes throughout the work and an abundance of illustrations. The text is in German.