Is Rudin's PMA enough before studying analysis on manifolds? Please let me know if there is more. I'd like to know if I can understand the book before buy it.
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Yeah I did that with a similar background (one intro level real analysis class). – twnly Feb 14 '19 at 17:27
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I highly recommend reading Pugh's Mathematical Analysis for an introductory course to mathematical analysis instead of Walter Rudin's. – stressed out Feb 14 '19 at 17:27
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@stressedout I've already studied Rudin's PMA but thank you for your recommendation. – Yun YJ Feb 14 '19 at 17:38
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It seems Munkres have answered your question in the preface.
Note that he have mentioned Rudin (among others) in second paragraph as a good source for a first course.
Pedro
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@YunYJ You are welcome. Sometimes we can because some parts of some books are available at Google books. – Pedro Feb 14 '19 at 17:45