What Should I Know Before Studying Differential Geometry and Topology?

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ice109
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it sounds interesting, what should i know before i try to study it and what would be a good intro book to read?

note this isn't just a book request
 
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I say this,

The classic text is DoCarmo's 'Differential geometry of curves and surfaces'.

You should know real analysis of several variables but of one variable is very viable.