Introduction to Smooth Manifolds

This work is an introductory graduate-level textbook on the theory of smooth manifolds, for students who already have a solid acquaintance with general topology... » 

This work is an introductory graduate-level textbook on the theory of smooth manifolds, for students who already have a solid acquaintance with general topology and linear algebra. It addresses what is often called differential geometry and moves beyond that to a range of topics. «