Introduction to Differentiable Manifolds

Introduction to Differentiable ManifoldsThe first book to treat manifold theory at an introductory level, this text surveys basic concepts in the modern approach to differential geometry. The first six chapters define and illustrate differentiable manifolds, and the final four chapters investigate the roles of differential structures in a variety of situations. Starting with an introduction to differentiable manifolds and their tangent spaces, the text examines Euclidean spaces, their

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