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A little of me, i used to study technical physics, then switched to pure mathematics, but cause of problem with structure and being consistent it did not end well. I was recently diagnosed with Asperger and is one of the reasons i never seem to be able to complete anything i do.

During my time at university i successfully completed:

calculus 1-3, linear algebra, discrete math and combinatorics.

Since then i been exposed to proof based courses but never finished, i started in the past

Proof based linear algebra, more focus on matrix theory. Advanced calculus, and real analysis.

I basically know how to do an epsilon limit proof, know how to construct the real numbers from the integers, know how to define euclidean space R^n.

I been at this for 10 years, and cause of my Asperger i have hard time focusing on math for a long time, i get bored and tomorrow i could start drawing again and be back at math within 2 months or half a year depending. I realize my fundamentals is lacking and i need to plow through what lies ahead, the rest of advanced algebra, the rest of proof based linear algebra etc.

Right now on top of studying the course material for these two courses, i am working my way through, linear algebra done right.

I realize i could have been done with the undergrad level by now if i just did it everyday, it is frustrating but i want to progress and keep developing, i am not ready to give up, but need help to get on the right track.

Since i want to push myself to develop, i am thinking of maybe i should have pet projects, "research" on my level, problems that forces me to learn new mathematics branches or even discover something new. Reading books and doing just the exercises get dull quickly, i need to apply my knowledge into math itself.

I asked this question at math.stackechange and people got really mad, they froze my post, so i thought i would try to reach out here. My goal is not to get a degree, but my goal is to understand enough at a graduate level, so i can do my own research. Maybe someday i will try to get through university, but today that is not an option. So i will be checking this site many times a day, and try to become a good part of this community, looking forward to many great conversations that illuminate the mind and ease the soul.