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Do I need ODE and PDE for differential topology? 
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#1
Mar1010, 12:01 AM

P: 13

I am a senior in mathematics studying graduate pointset topoology atm. I am thinking I want to study differential topology in graduate school and maybe apply it to problems in cosmology. Do I need to take more ODE and PDE? I took intro to diff eq the one that all engineering undergrads take. Is that enough? I would assume not but I may be surprised. Thanks.



#2
Mar1010, 08:25 AM

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You don't need any special knowledge about diff equ. to study the basics of differential topology as in, say, the book by Hirsch or Guillemin & Pollack.



#3
Mar1010, 10:40 AM

P: 607

And even if you did, it would be a DE course for mathematics students (one that does proofs) and not a DE course for engineers (one that does "what is it useful for?").



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