Author Description

Theorie Der Transformationsgruppen..., by Sophus Lie and Friedrich Engel, is a seminal work on the theory of transformation groups. This treatise, originally published in 1893, delves into the intricacies of finite continuous groups relating to lines, planes, ordinary space, and projective spaces. The book is structured into sections that explore the finite continuous groups of the straight line and the plane, the finite continuous groups of ordinary space, and the projective groups of ordinary space. This detailed exploration provides a comprehensive understanding of the mathematical concepts developed by Sophus Lie, whose work laid the foundation for modern group theory and its applications in various fields of mathematics and physics. This historical text offers valuable insights into the mathematical thought of the late 19th century and remains relevant for mathematicians, physicists, and historians of science interested in the development of group theory and its profound impact on contemporary science. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally avai