Introductory Treatise on Lie’s Theory of Finite Continuous Transformation Groups (1903)

Introductory Treatise On Lie???????s Theory Of Finite Continuous Transformation Groups is a book written by John Edward Campbell in 1903. The book is a comprehensive introduction to the theory of finite continuous transformation groups, as developed by the German mathematician Sophus Lie. The book begins with an overview of the basic concepts of group theory, including the definition of a group, subgroups, and homomorphisms. It then goes on to discuss the theory of Lie groups, which are groups that have a continuous symmetry. The book covers the theory of Lie algebras, which are the infinitesimal generators of Lie groups, and Lie's theory of transformation groups, which are groups that act on a space of objects, such as a set of equations or a geometric object. The book also covers the classification of Lie groups and Lie algebras, as well as their representations. It concludes with a discussion of the applications of Lie's theory to various areas of mathematics and physics, including differential equations, geometry, and quantum mechanics.Overall, Introductory Treatise On Lie???????s Theory Of Finite Continuous Transformation Groups is a seminal work in the field of Lie theory and provides a thorough introduction to the subject for students and researchers alike.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.