This book, Dierential Geometry: Manifolds, Bundles and Characteristic Classes (Book I-A), is the First in a captivating series of four books presenting a choice of topics, among fundamental and more advanced, in dierential geometry (DG), such as manifolds and tensor calculus, dierentiable actions and principal bundles, parallel displacement and exponential mappings, holonomy, complex line bundles and characteristic classes. The inclusion of an appendix...