/sci/ - Science & Math

bessel equations

also, manifolds are dope, for relativity

>>9248636
Always loved math since the beginning (mainly because I was always naturally gifted at math over everything else), but probably when I took a Trigonometry class in high school and saw the graphs for sine/cosine/tangent and their reciprocals.

>>9248636
It wasn't until abstract algebra that I really started having fun with math.
I spent years learning a bunch of different shit, and then algebra comes along and the entire course is about how all these things are similar to each other. Was a real DUDE moment for me.

>>9248647

Have you taken any courses on non-Euclidean geometry?

>>9248667
I loved Abstract Algebra for the reason. It's just so cool how there's actually a course where you study the underlying concepts of all mathematics such as groups, rings, fields, etc.

I studied chemistry as well so the symmetry stuff was absolutely fascinating.

>>9248636
The exact moment when I started learning about imaginary nymbers.

Normally I would finish my hw as quickly as possible so I could get to playing video games. But once I started getting into that part of math, I began to feel a deep curiosity. Video games no longer felt satisfying. I had to learn and understand more.

>>9248636
one identitity
>e^(iz)=cos(z)+isin(z)
and i was sold

>>9249483
also infinite series

>>9248636
>When did you fall in love with math
Never.

>>9248636
When learning calculating derivatives in high school (just the algebra, not with the definition yet) I suddenly got enlightened by the Truth of mathematics and finally understood all the rules I knew.

I just learned that a linear function between normed vector spaces is uniformly continuous iff it is continuous at 0

>>9248667
same. never found math interesting; only minored in it and stopped after diffey q. Bought an algebra book randomly senior year, and Sylow's theorems were presented early in it, and blew me away. Been hooked on algebra since.

>>9248636
>limit definition of a derivative
>such a (seemingly) bizarre concept

learn elementary linear algebra was a lot of fun

>>9249483
>meme answer
>>9249487
basic af
>>9249694
no you didn't. if high school entertained you then see >>9249942
>>9250026
Elementary as in only computations? Upper division linear algebra (at the undergrad level) is pretty cool. No more row reductions, and other nonsense, but instead you study it from a purely abstract point and will begin to think of different ways to express previous mathematics courses main concepts using the power of linear algebra.

For me it's the McShelah. pic related

When I was reading a philosophy book and encountered Gödel's stuff. I happened to be reading Logicomix at the same time, so I realized I want to be a mathemagician like the guys in that story.

>>9250466
>Logicomix

>>9250451
>still can't show why the hell it's 4

>>9250468
Russell's first encounter with Frege still gets me. He sees an old man doing garden stuff and the dialogue is something like:
>is this professor frege's house
>no this is his garden
>is professor home
>no he is in his garden
I've become like him, it seems. My mom sometimes complains about the precision of my replies when we are in touch.

>>9248636
When I was introduced to the love child of geometry and calculus during my high school calc class. The concept of revolving the integral of an equation around an axis to create a solid and vice versa, along with making 3D integrals blew me out of the water.

>>9249483
>e^(iz)=cos(z)+isin(z)
cute proof:

[math] \displaystyle
f(x) = e^{-ix}(\cos x + i \sin x)
\\
f^{\prime}(x) = e^{-i x}(i \cos x - \sin x) - i e^{-i x}(\cos x + i \sin x)
\\
f^{\prime}(x) = e^{-i x}(i \cos x - \sin x) - e^{-i x}(i \cos x + i^2 \sin x) \equiv 0
\\
f^{\prime}(x) = 0 \;\;\; \forall \; x \in \mathbb{R}\Rightarrow f(x) \text{ is a constant}
\\
f(0) = e^{0}(\cos 0 + i \sin 0) = 1 \cdot(1+0) = 1 \Rightarrow f(x) = 1 \;\;\; \forall \; x \in \mathbb{R}
\\ \\
1 = e^{-ix}(\cos x + i \sin x) \Rightarrow e^{ix}=\cos x + i \sin x \;\;\; \forall \; x \in \mathbb{R}
[/math]

>>9250493
That's a joke in a comic, not how a person should communicate, mathematician or not. You're embarrassing yourself.