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Paperback. Pub Date: 2010 Pages: 250 Language: English Publisher: World Book Publishing this book is an outgrowth of my introduction to differentiable manifolds (1962) and differential manifolds (1972). Both i and my publishers felt it worth while to keep available a ief introduction to differential manifolds. the book gives an introduction to the basic concepts which are used in differential topology. differential geometry. and differential equations. in differential topology. one studies for instance homotopy classes of maps and the possibility of finding suitable differentiable maps in them (immersions. embeddings. isomorphisms. etc.). one may also use differentiable structures on topological manifolds to determine the topological structure of the manifold (for example. a la smale [sm 67]). in differential geometry. one puts an additional structure on the differentiable...