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Favourite field of mathematics

  1. Jan 26, 2007 #1
    I myself love anything and everything to with algebra, particularly Galois theory. Number theory is a close second.
  2. jcsd
  3. Jan 26, 2007 #2
    Admittedly my mathematics background is extremely shallow (nothing higher than Calculus I), I have been working independently through a few modern abstract algebra books, I am enjoying this field of mathematics more than any other field I have been exposed to. I have just started learning group theory and will eventually move through fields, rings, Galois Theory, etc.

    How far can someone go into this field of mathematics, because I am really enjoying it a lot. Of course, I am reserving my selection of specilization until I am exposed to more mathematics. I really enjoy the abstractness that this field of maths develops. It is refreshing to do something, which to me, is a lot different than calculus.
  4. Jan 26, 2007 #3
    I will also admit that I do not truly have deep knowledge in any particular area of mathematics to really pick a favorite, but currently I would say my favorite is algebra(even with my limited experience in it), but of the subjects I have had classes in I find complex analysis, and partial differential equations very interesting as well.
  5. Jan 26, 2007 #4
    Differential topology...was like discovering sex.
  6. Jan 26, 2007 #5

    Gib Z

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    >.< Number Theory, But I wouldn't say it was like discovering sex...lol. Both things are equally beautiful :p. Thats a BIG compliment for Number Theory, trust me :)
  7. Jan 27, 2007 #6
    I was fascinated with the idea of studying functions of a complex variable. Later I found out I could study functions on n- dimensional complex space. I currently studying function theory of several complex variables. I also like differential geometry.

    So my hope is to study complex (differential) geometry (i.e., geometry of complex manifolds)
  8. Jan 27, 2007 #7


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    So far, the subject in math that was the most enthralling to me is functional analysis.
  9. Jan 27, 2007 #8
    You're only 15, how would you know?
  10. Jan 27, 2007 #9
    Haha, I was thinking the same thing.
  11. Jan 27, 2007 #10
    I'm somewhat partial to complex analysis and differential geometry. But I'm on an algebraic geometry kick at the moment, simply because I feel that Groebner bases are far cooler than they're given credit for.
  12. Jan 27, 2007 #11
    differential topology, differential geometry
  13. Jan 28, 2007 #12
    Differential topology and geometry are my current obsessions.
  14. Jan 28, 2007 #13
    dynamical systems (flow, collisionless or collisoin)

    edit: oh and graph theory and 3D engine mathematics.
    Last edited: Jan 28, 2007
  15. Jan 28, 2007 #14
    It's so hard to say. I like analysis, differential geometry, algebraic and point set topology, combinatorics, logic, algebraic geometry, group theory, representation theory and commutative algebra.

    But I hate non-commutative rings.
  16. Jan 28, 2007 #15


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    Number Theory.
  17. Jan 28, 2007 #16


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    I prefer addition.
  18. Jan 29, 2007 #17

    Gib Z

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    Rofl we got a comedian here!

    Quote theperthian (dunno if i spelled right): How would you know, your only 15?
    Quote d_leet : I was thinking the same thing

    I got lucky :p

    EDIT: I Spelled "Spelled" as "slept"...Im pretty bad at slepting :p
    Last edited: Jan 29, 2007
  19. Jan 29, 2007 #18

    Gib Z

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    That gives me an idea, ima start a thread in PF lounge on when people lost their..innocence, thatll be a nice thread :p

    Just need a mentor to tell me i wont be banned for doing so before i make it lol.

    Btw: Last post, i was kidding.

    Its like, f'(x)= d/dx (sex) and I don't know f(x), but Im using 10 Riemann Midpoint sums :P Im such a nerd
  20. Jan 31, 2007 #19


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    It's all you'll ever need :smile:
  21. Jan 31, 2007 #20
    Currently I'm doing some research in higher dimensional interior angles, which is a fun topic, dealing with the infamous gamma vector, but I particularly enjoy differential equations and am starting to develop a love for Complex Analysis.
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