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Differentialform
Yellow-bellied Woodpecker
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04 Jun 2014, 3:22 pm

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?



TheConfuzzledAspie
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04 Jun 2014, 3:55 pm

The kind where you do plus and minus.

-Aspie with dyscalculia, massive depression because of it.


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Kurgan
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04 Jun 2014, 5:07 pm

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


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Stargazer43
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04 Jun 2014, 6:25 pm

NOT triple integrals.



starkid
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04 Jun 2014, 8:32 pm

Stargazer43 wrote:
NOT triple integrals.


But those are the best! Especially in cylindrical coordinates!


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Stargazer43
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04 Jun 2014, 9:33 pm

They're the best at making me cry



Eccles_the_Mighty
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06 Jun 2014, 4:59 pm

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


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Kurgan
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06 Jun 2014, 6:55 pm

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


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tau628
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06 Jun 2014, 8:12 pm

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.



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07 Jun 2014, 2:50 pm

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.


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FautheralLoather
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09 Jun 2014, 5:51 pm

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

Yes i do those things.



starkid
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09 Jun 2014, 6:17 pm

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

Yes i do those things.


What do you mean? Theoretical work is the exact opposite of applied math.


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FautheralLoather
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10 Jun 2014, 4:49 pm

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.



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11 Jun 2014, 2:05 am

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.


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ruveyn
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11 Jun 2014, 12:37 pm

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



MathematicalOwl
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12 Jun 2014, 11:52 am

Definitely number theory. Prime numbers.