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Advanced math courses for self-improvement (hexbear.net)
submitted 2 weeks ago* by to c/math@lemmy.ml
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I am looking for (free) resources for semi-advanced math.

I have always been extremely mathematically-inclined, working with material way ahead of my age, then I went on to study electrical engineering. I got a master's, but I feel like I stagnated severely during my studies. It was then that I first hit my first walls - particularly, I remember Bessel functions being beyond me back when I studied anthena theory. But I also breezed through all of calculus, including multivariate, vector and complex kinds. However, after graduation, I barely need any kind of math more advanced than Laplace tranforms done with a handy table, and even then I start to forget a lot of things.

I think I might have had more potential and would like to get deeper, but I don't really know where to start. I am in my thirties and I don't want to forget math, which has always brought me a lot of joy.

Where do I start?

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[–] 2 points 2 weeks ago* (last edited 2 weeks ago)

Bright Side of Maths for sure. Also, there are several universities that post full lectures from their academic coursework on YouTube. E.g. here's what Invidious brings up when I search for "analysis lecture". I strongly advise doing a real analysis course as soon as possible. (The "real" in "real analysis" pertains to the real numbers, i.e. it does not imply the existence of "fake" analysis courses, i.e. it's not an epithet.)

Really, real and complex analysis should be part of the electrical engineering curriculum IMO, but I'm biased as an EE grad student who is disappointed at there not being enough math 😆

Also I would be remiss not to mention that Library Genesis and Anna's Archive exist and are not unique (see Open SLUM for mirrors and their status). You can find almost any STEM textbook on these sites for free. Take as much as you can before the capitalists destroy this incredible resource. IMO videos are the most fun way to learn math, but books are by far the most efficient.

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