Discrete, Finite and Lie Groups: Comprehensive Group Theory in Geometry and Analysis

In  a self contained and exhaustive work the author covers Group Theory in  its multifaceted aspects, treating its conceptual foundations in a  proper logical order. First discrete and finite group theory, that  includes the entire chemical-physical field of crystallography is  developed self consistently, followed by the structural theory of Lie  Algebras with a complete exposition of the roots and Dynkin diagrams  lore. A primary on Fibre-Bundles, Connections and Gauge fields,  Riemannian Geometry and the theory of Homogeneous Spaces G/H is also  included and systematically developed.