Hey, /sci/, I would like to ask you guys personal advice on something.
I'm currently studying a math degree in Spain, I'm on my second year (most degrees, such as mine, are four years long here, just fyi), and next year I have to choose a bunch of "optional" subjects. The thing is, I would like to learn something that isn't just useful in an abstract-mathematical sense, rather, I woud like to learn about something that I know will have some short/mid-term applications. Having said that, of course, I also want these subjects to be interesting for me. So, I'll make a brief summary of what my options are:
-I have a bunch of calculus optionals which, save for "Fourier analysis", don't really interest me that much. Though, that may change when I study them.
-There's also a bunch of algebra and algebraic topology optionals, like "simplicial homology", "commutative algebra and geometry", and one of my personal favorites, "algebra, combinatorics and computation". These kind of algebra-oriented subjects, as you can see, seen to attract me more, though, of course, this is just for the moment.
-Also, there are two purely "computation theory" optionals, that is, "mathematical logic" and "computation theory". I don't really know if I will pick any of these, because, even though computation theory has always been my personal favorite set of math subjects, I am not sure as of how abstract these optionals will be from a "doing something useful" perspective. Of course, maybe I'm wrong and they can be easily applied to real world problems, but I just didn't know about that (that is one of the reasons why I'm making this post).
-Finally there's also the more numerical analysis and statistics-like subjects, which, of course, are the easy answer from the "real world problem solving" perspective, but, in most cases, these don't interest me that much.
So, what would you guys recommend?
I'm currently studying a math degree in Spain, I'm on my second year (most degrees, such as mine, are four years long here, just fyi), and next year I have to choose a bunch of "optional" subjects. The thing is, I would like to learn something that isn't just useful in an abstract-mathematical sense, rather, I woud like to learn about something that I know will have some short/mid-term applications. Having said that, of course, I also want these subjects to be interesting for me. So, I'll make a brief summary of what my options are:
-I have a bunch of calculus optionals which, save for "Fourier analysis", don't really interest me that much. Though, that may change when I study them.
-There's also a bunch of algebra and algebraic topology optionals, like "simplicial homology", "commutative algebra and geometry", and one of my personal favorites, "algebra, combinatorics and computation". These kind of algebra-oriented subjects, as you can see, seen to attract me more, though, of course, this is just for the moment.
-Also, there are two purely "computation theory" optionals, that is, "mathematical logic" and "computation theory". I don't really know if I will pick any of these, because, even though computation theory has always been my personal favorite set of math subjects, I am not sure as of how abstract these optionals will be from a "doing something useful" perspective. Of course, maybe I'm wrong and they can be easily applied to real world problems, but I just didn't know about that (that is one of the reasons why I'm making this post).
-Finally there's also the more numerical analysis and statistics-like subjects, which, of course, are the easy answer from the "real world problem solving" perspective, but, in most cases, these don't interest me that much.
So, what would you guys recommend?
