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.