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Ask HN: How to self-learn math?

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Re: Ask HN: How to self-learn math?

#211

Earlier quoted context omitted.

What is MICMAM? Whitepapers, lectures, and speech transcriptions are also good motivation, and useful resources. Sometimes overwhelming, especially if reading mathematical text is as a foreign language. And sometimes it takes you down a rabbit hole. My biggest block for learning math has really been all the unlearning. After a while ideas like negative numbers and zeros and processes like addition and subtraction sto…

> What is MICMAM? Check my [1] at root. > Where to go from there - philosophy or computation? For me, there's plenty of fun in mathematics without venturing even near the edges of it. Maybe one day I'll grow bored of it, who knows - it's a lifelong process.

I didn't mean to insinuate that the process I describe is one to be taken out of boredom. Let me try to explain what I am thinking:

I have been studying lisp and wanted to understand more about the origins. So I went back to the beginning of the language and read the various McCarthy papers. But what he was thinking is not entirely clear to me. So I wonder, what papers was he studying himself when he wrote this? That is easy to answer as he put the references right there in the back of the paper for me to track down. So I start reading papers written by Church and Godel. I repeat this process recursively while looking for shared references. That network of interconnected papers is a treasure trove of useful information. Reading the same papers an author was reading during their writing process is a valuable way to expand your understanding of their work.

Re: Ask HN: How to self-learn math?

#212

Earlier quoted context omitted.

> I disagree with the general statement that leaning maths is "pitifully slow without a teacher". How do you check your work then? I remember specific experiences in college math classes where I thought I understood something, took a test, and then got something wrong. And it was because of a misunderstanding of something I thought I understood. I have those misunderstandings occasionally in math. And that can make s…

By downloading question papers that have worked solutions. If you get something wrong, check your solution against the worked solution and then error in your understanding should become apparent. This works well up to about college level, after which it's harder to find resources.

That's a good solution, but college-level mathematics was specifically where I had issues learning the material myself. I remember taking an upper-level college class for my cs degree that focused heavily on proof-based mathematics. I decided I wanted a tutor. Online tutoring for the highschool/lower level college classes was easy to find. But not for upper-level proof based math classes that were TA'd by grad students. I finally found one company that was willing to tutor me. They advertised tutors from ivy-league grad schools and started billing at over 100/hr. Fortunately I found a grad student to to tutor me at my university for a much more reasonable price. But I definitely noticed a difference in the type of tutoring offered. I'm much less confident self-teaching myself mathematics if it involves proofs, or material that would show up in grad school or an upper-level undergrad class.

Re: Ask HN: How to self-learn math?

#215
post #34

The simplest approach I think would be to start with Khan Academy. Well spoken clear and concise. You can go from a Highschool level towards subjects from first year university. Once there, it should be easier to self teach from books.

I can recommend this path, studied almost all my pre-engineering math this way 2011 and were better equipped for initial engineering courses then most of my peers. However it kinda capped out at high-school level (or atleast Swedish equivalents).

Interesting. Truth be told, I remember when it was simply him on YouTube. I guess to carry on, one would have to go for 3Blue1Brown to get the fundamentals of university math.
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