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Unformatted text preview: ourselves to manifolds of finite dimension. With somewhat more work, we could define infinite dimensional differentiable manifolds. 17 Exercises: Coordinate systems and manifolds 1. 18 Manifolds 19 Exercises: Manifolds 1. 20 To top References
 Auslander, Louis, and MacKenzie, Robert E., Introduction to Differentiable Manifolds, Dover Publications, New York, 1977.  Bishop, Richard L., and Goldberg, Samuel I., Tensor Analysis on Manifolds, Dover Publications, New York, 1980.  Warner, Frank W., Foundations of Differentiable Manifolds and Lie Groups, Scott, Foresman and Company, Glenview, Illinois, 1971. To top 21...
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