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I think it's great that people are posting book links like this, however, what I've found most helpful is actually having someone to help guide you. I realize
by dorchadas 7y ago
I think it's great that people are posting book links like this, however, what I've found most helpful is actually having someone to help guide you.
I realize how lucky I was that I found a Discord server ran by a math PhD graduate who is willing to help us guide our learning. From this, I've started learning Algebra and Analysis (just starting with the latter). It's nice to have someone to discuss problems with when you get stuck and to guide you. Likewise, he can suggest exactly which problems I should do for a give chapter, that way I don't spend my time doing ones that just repeat the same simple things over and over and can focus on nice, conceptual ones. So, if you can, please try to find someone to help guide you, or be that guide for someone else! Having it has made me seriously consider going back for a mathematics masters (and maybe PhD), switching from my physics background.
- nubb 7y agoCould you share the discord server? Thank you.
- dorchadas 7y agoI'm not the owner, and it's a small server, so I don't feel comfortable. Sorry. I think I found the owner through /r/math, so you might be able to find his old post there though.
- mathgenius 7y agoI would say that learning mathematics is virtually impossible without a teacher. Like, would you try learning Karate without a teacher? How about if you get with a bunch of friends and you all try to learn it together? No way. Even the professionals try to find someone to learn a new concept from. There's something about mathematical writing that is too fragile/brittle for wetware. One other strategy: I've noticed the really smart (arrogant?) people just don't bother reading new mathematics, they re-invent it themselves. It's actually worth trying if you can stomach it.