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So what after calculus 3

  1. Aug 12, 2013 #1
    Hey guys,

    So I am a physics and math major so far I am took Calculus I,II,III linear algebra and statistics
    I did really good in them almost acing all of them and aced vector calculus.

    I am taking complex analysis and introduction to probability in fall. I have holiday in the winter break for about 1 month and I want to self study some high level material, so what would you suggest studying ?

    I am planning to go into theortical physics PHD besides I really like math and started to like it even more than physics,so I want to improve myself even more than university so I need some suggestions.

    I don't know if this is the right section to post this but it seems like it.
     
  2. jcsd
  3. Aug 12, 2013 #2

    micromass

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    Was your calculus course very rigorous? If not, you might want to go through Spivak's calculus.

    There's really a lot you can do now: real analysis, abstract algebra, differential geometry, discrete mathematics, etc. Pick something you're really interested in.
     
  4. Aug 12, 2013 #3
    Yeh it was very rigorous course but I might also check Spivak . Our Professor for vector calculus said that calculus is a subset of real analysis so I think should I go into real analysis ? What do you think ?
     
  5. Aug 12, 2013 #4

    HallsofIvy

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    For a physics major, Linear Algebra and Differential Equations would be reasonable next courses. But why ask us? Your college catalog surely has a list of required courses and probably some "recommended" courses for physics majors. And your best possible source are your major professors.
     
  6. Aug 12, 2013 #5

    micromass

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    Yes, doing real analysis is a great thing to do next. Spivak actually is an intro to real analysis, so do take a look at that book.

    Are you comfortable with proofs?
     
  7. Aug 12, 2013 #6
    Yes I am comfortable with proofs @ micromass. @hallsYeh I am already taking DE and also I am asking here because I want to get ahead of university and do more self study.
     
  8. Aug 12, 2013 #7

    WannabeNewton

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    Differential topology/geometry and tensor calculus.
     
  9. Aug 12, 2013 #8

    chiro

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    If you are really keen, you might want to look on Spivaks Calculus on Manifolds book (not the same as the other Spivak titles that may be referenced).
     
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