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I am reading Road to Reality by Roger Penrose and I although I know about calculus, complex analysis, differential equations I do not know about manifolds, Riemann surfaces and so on. Which books can you recommend me in order to master the topics found on that book?

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    For learning about Riemann surfaces, I like Forster's book. As far as I recall, you shouldn't have to know about manifolds and differential geometry in order to start reading it.2011-11-18

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