/wildcard/ - (STEM)

Mathematics are rad. I had a great time getting into dynamic programming by Richard Bellman. He found a method of solving hard problems by breaking them down into minor problems, solving them separately and trying to use the results of those for the final solution.

I still have to get into partial differential equations. They are everywhere and hate me.

Pic schematically shows the computational cost of a problem depending on its complexity and steps to cut down with dynamic programming, with the worst case scenario in the left back corner (complex problem, no interim results possible). Note that the growth is usually much steeper like f'=x² or x³ or even n to the power of x something.

I really like topology and interpolation and information theory.

I started to read pic related. What the fuck man, this book eats my brains like waffles. It basically is about algorithms with some sort of random decisions during their execution, which has the nice effect of cutting runtime in most cases down so it is shorter than that of any deterministic algorithm, given the same data to work with.

57
I remember my first algorithms professor getting really excited demonstrating that you could 'guarantee' average-case time for quicksort by selecting the pivot at random. But no implementation I've seen since then (either in or out of academia) bothered to do that, so I wonder if its benefits are context dependent.

number theory

I don't, in fact I'm totally inapt when it comes to mathematics, but I intend to start studying when I need to dabble in data sciences and analysis as soon as I will be done with my current academic choice. Math books are quite expensive though.

Just found this book. It's pretty good. Not too easy but not excessively difficult either.

>>68
what's your background? this is a good book but not really the place to learn Complex Analysis proper imo. however it is an excellent text to have once you've been through a conventional text like Ahlfors.

>>52
>what's your favorite field?
groups and their (modular) representations.
>what are you reading?
impossible to keep up with the literature now that i'm no longer in academic circles but the last maths book i read was Daniel Gorenstein's - Finite Simple Groups: An Introduction To Their Classification.

>>69
Im just starting out, I don't know how hard it gets later on, but the geometrical approach makes it pretty intuitive so far

>>71
any particular reason your interested? just curious. Complex Analysis is a pretty nice mathematical rabbit hole to fall down, it was my favourite class by far at grad school even though my interests were more algebraic.

aw yiss