Please Tell Me The Differences, Please!

Colleges and Universities A-Z Massachusetts Institute of Technology
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<p>1) Research in Pure Mathematics
2) Research in Applied Mathematics
3) Research in Theoretical Computer Science
4) Research in Applied Computer Science (Engineering Research)</p>

<p>Could anyone tell me their different goals? Thank you.</p>

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<p>“Pure” mathematics is more abstract, whereas applied mathematics is applicable to the real world. Same with computer science.</p>