Abstract
The intuitive picture of a smooth surface becomes analytic with the concept of a manifold. On the small scale a manifold looks like a Euclidean space, so that infinitesimal operations like differentiation may be defined on it.
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© 1997 Springer Science+Business Media New York
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Thirring, W. (1997). Analysis on Manifolds. In: Classical Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0681-1_2
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DOI: https://doi.org/10.1007/978-1-4612-0681-1_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-40615-2
Online ISBN: 978-1-4612-0681-1
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