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by John M. Lee. Introduction to Smooth Manifolds. From the back cover: This book is an introductory graduate-level textbook on the theory of smooth manifolds. immersed and embedded submanifolds, tensors, differential forms, de RhamJeffrey Lee, Jeffrey Marc Lee. Chapter. 1. Differentiable. Manifolds. – Hermann Weyl In this chapter we introduce differentiable manifolds and smooth maps. No longer a specialized subject that is studied only by differential geometers, manifold theory is now one of the basic skills that all mathematics students should ?This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee's earlier book, Riemannian Manifolds: An Introduction to Curvature. Dec 31, 2000 - Nov 5, 2012 -