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homeomorphism
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I completed a study of Michael Spivak's Calculus recently. If I want to broaden my mathematics knowledge to the point where I can take a rigorous differential geometry course at a nearby university (I think they are using a differential geometry book also by Spivak), what should I do over the next year?
What (preferably rigorous) texts should I study and do a few problems from?
I heard I should probably know some advanced calculus, what texts would you recommend to me for that?
What (preferably rigorous) texts should I study and do a few problems from?
I heard I should probably know some advanced calculus, what texts would you recommend to me for that?