Favourite areas in mathematics

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I am not a mathematician, so I don't have a good overview over all fields of mathematics.
But I find complex analysis and the differential forms approach to multivariable calculus particulary beautiful.

There is an excellent lecture course by Theodore Shifrin covering multivariable calculus and differential forms:

http://www.youtube.com/channel/UCp9W-et2Zbx7u5_VMiXGtPQ

What kind of mathematics do you like?

The kind where you do plus and minus.

-Aspie with dyscalculia, massive depression because of it.

I like discrete mathematics (diophantine equations, recurrence relations, etc.).

NOT triple integrals.

They're the best at making me cry

Boolean Logic, and yes, I do still use it.

Example, simplify the expression X . Y + X (Y + Z) + Y (Y + Z)

Applying distributive property, we get
X . Y + X (Y + Z) + Y (Y + Z) = X . Y + X . Y + X . Z + Y . Y + Y . Z

We know B . B = B
= X . Y + X . Y + X . Z + Y + Y . Z

We know A . B + A . B = A . B
= X . Y + X . Z + Y + Y . Z
= X . Y + X . Z + Y [We know (B + BC = B)]
= Y + XZ

Boolean logic is fun, and brings back many memories from the first semester at the university.

I'm a A-Level (last year before uni) student and I really loved studying the Differential Equations module. I thought the methods for solving DE's were ingenious and they could be used for so many different situations.

DE's used to be my favorite (I used to sleep with my old 500 pg. DE text in the bed with me), but, having been a physics student, my horizons were limited to applied math. I'm far more interested in mathematical logic now.

applied mathematics probably, since it brings in the creativity as i write my own theories.

Yes i do those things.

I use applied mathematics when I see the theories being applied to. so it brings onto things that are not applied but I write them down in my own way. I probably should of said that differently.


I just recreate them in my own head to it does place onto into some creativity and its just a small hobby of mine.

I found discrete mathematics and game theory the most interesting.

Discrete mathematics was like taking a step back into algebra, and arithmetic after so much calculus and DE. Of discrete math, I particularly liked number theory, and set theory as well as the effort to focus on proving ideas.

Game theory was interesting in computing optimal strategies for hypothetical "games".

It seems like my ASD makes me have an affinity,or an appreciation of the order to math.

Topology, Differential Geometry, Theory of Manifolds, Category Theory, Mathematical Logic.

Definitely number theory. Prime numbers.