Lectures on selected topics in mathematical physics : introduction to lie theory with applications This book provides an introduction to Lie theory for first year graduate students and professional physicists who may not have come across the theory in their studies. It is an overview of the theory of finite groups a brief description of a manifold and an informal development of the theory of one parameter Lie groups. Interested readers should acquire a tool that is complete and that actually works to simplify or solve differential equations as well as moving them on to other topics.