图书介绍：This book provides the necessary foundation for students interested in any of the diverse areas of mathematics which require the notion of a differentiable manifold. It is designed as a beginning graduate-level textbook and presumes a good undergraduate training in algebra and analysis plus some knowledge of point set topology， covering spaces， and the fundamental group. It is also intended for use as a reference book since it includes a number of items which are difficult to ferret out of the l