Abstract
A course on manifolds differs from most other introductory graduate mathematics courses in that the subject matter is often completely unfamiliar. Most beginning graduate students have had undergraduate courses in algebra and analysis, so that graduate courses in those areas are continuations of subjects they have already begun to study. But it is possible to get through an entire undergraduate mathematics education, at least in the United States, without ever hearing the word “manifold.”
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© 2011 Springer Science and Business Media, LLC
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Lee, J.M. (2011). Introduction. In: Introduction to Topological Manifolds. Graduate Texts in Mathematics, vol 202. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7940-7_1
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DOI: https://doi.org/10.1007/978-1-4419-7940-7_1
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