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Topology or logic or other start point?

  1. Oct 24, 2014 #1
    So i just recently had to drop two math courses, topology, math logic, because my math maturity wasn't up to the level needed to excel in them. I intend on taking them again, but not without first more preparation which leads to my question. Which order would i benefit more from in preparing for the courses? Topology first and then math logic? Or math logic first and then topology?

    The reason is that proofs tend to be my major weakness and it is coming to haunt me in these more advanced courses. Anyother suggestions would also be appreciated

    Thanks
     
  2. jcsd
  3. Oct 24, 2014 #2
    Have you taken an intro to proof course? The rest of your upper division courses will rely on that foundational course (unless you are focusing on numerical applied math.)
     
  4. Oct 24, 2014 #3
    The most my school offered when i took the courses was "concepts in abstract math" so there was no direct intro to proofs course, of course the school has now realized their mistake and created the course, but it is a first year course and i don't think i am eligible for it anymore considering i am in 3rd year. So it appears i will have to self prepare. Suggestions of any good proof books?
     
  5. Oct 24, 2014 #4
    I don't see any particular advantage to doing one or the other first. My own success with proofs, especially in something like topology, I attribute to reading Visual Complex Analysis and studying subjects like electricity and magnetism that boosted my intuition. In a subject like topology, my thought process was usually a matter of translating my intuition into a logical proof. Proof books may help, too, but they may not be the whole story.
     
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