I have done dual degree with bachelors in computer science. I am currently a software developer (India).
I always have had interest in mathematics. But once was I got into college I did not work towards making myself mathematically mature. In college I just used to participate in coding contests as I was interested in algorithms and data structures. I did have math courses on probability, complex analysis, calculus, linear programming, linear algebra (even some basic physics courses on quantum mechanics, statistical mechanics) etc. I passed them (some barely), as they were part of the curriculum, but did not bother exploring these topics on my own after the courses were completed.
Once I was out of college, I found out I am not so inclined towards software development. And as time went by I realized I wanted to always do something fundamental, but I lost the drive somewhere in my college days. I became lazy I guess.
I tried picking up things as hobby, like reading about complexity theory, options derivative pricing etc. But whatever I took up I gave up after few months, when I realized I had hit a limit and did not have grasp on the underlying mathematics. There were a lot of times when I could visualize/feel a concept hazily but couldn't put it in formal terms, even to make myself understand it. Somewhere it got ingrained in my mind that I am not mathematically mature, and I cannot understand something complex, and cannot build something of my own around it.
After realizing that I need a strong foundation in mathematics, and reading the broad view of things I have interest in I have realized I more inclined towards applied mathematics. And want to complete foundational courses in Linear algebra, real and complex analysis, differential equations, probability and statistics, measure theory etc. I am unsure I will be able to do it via self study, and will likely fail again. This time I want to try via a formal curriculum. I am unsure what path to take.
- Should I try to get into an applied math M.Sc. ? Am I even eligible ? Are there programs which give me an option to take extra credits to fill my gaps and brush up that I studied in college ?
- Should I try to get into a B.Sc applied math program ? Is it too late (I am in late 20s) ?
- Should I try abroad or in India itself ?