/sci/ - Science & Math

>>11404184
>This board would become better if everyone made their own threads
>he still believes this board can be salvaged

>>11228549
You're welcome.
>>11228960
Ladies and Gentlemen, it's that simple.
>>11229264
>I used the limit on the definition and then proved that it was zero with epsilon-delta, is that ok?
Sounds about right.
>>11229997
>Is the way we extended our number system into 2 dimentions the only possible way of handling √-1?
It's the only well behaved way, yes.

But there are quite a few ways of constructing the complex numbers, even if they are the same object. See https://en.wikipedia.org/wiki/Complex_number#Matrix_representation_of_complex_numbers , for example.

>>11169396
Honestly, Riemann Surfaces will be a solid 90% of your intuition for algebraic geometry, Differential Geometry will be 5%, and Algebraic Topology is genuinely necessary for computations and the remaining 5% of intuition.
If the idea is superficial study, absolutely go for Riemann Surfaces. Donaldson is good.