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Ask HN: How to self-learn math?

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Ask HN: How to self-learn math?

#1
I have a new found appreciation and fascination for maths and would love to study maths from the bottoms ups. I'd love to know the paths I should take and books I should read.

EDIT1: If the question is very broad, it'd be much helpful to know how did you learn math? What courses you took, books you read.

EDIT2: My current proficiency level is pre-high school mathematics as I didn't pay much attention in high school, learning effectively nothing.

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

#2
What do you know already? What kind of stuff do you want to learn about? What do you want to do with it? Maths is big, and cumulative.

Edit: Re your experience edit, I second the recommendation of Khan Academy. I'd also recommend the book Measurement by Paul Lockhart.

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

#5
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.

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

#6
haskell(common knowledge) -> category theory(compare it with set theory here you will read about math foundation crisis) -> type theory(curry howard correspondence or logic == program)

personal perspective

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

#7

3Blue1Brown

+1

And definitely follow through his "pause and ponder" sections. If you want to build up your maths skills, it is crucial to learn how to think in the maths way. Like becoming a good programmer involves writing lots of code yourself, or to become a good dancer you need to practice your steps. For maths it's abstract thinking. Appreciation of maths is one thing, having the discipline to self-study a whole other.

Edit. Regarding your 2nd Edit: His videos are made for the broadest audience possible. I'd recommend picking any video whose topic interests you the most at the moment. You will see what knowledge you lack (take notes of these!) and can expand from there. Be it to watch his maths fundamental ((1)) series [0],[1] or just rewatch.

((1)): As in any other things, knowing your fundamentals is significant to the understanding of a topic. It won't help you at all if you can apply (copy paste) some machine learning techniques if you don't know about linear algebra at all.

[0]: https://www.youtube.com/watch?v=kjBOesZCoqc&list=PLZHQObOWTQ...

[1]: https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQ...

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

#8
post #6

haskell(common knowledge) -> category theory(compare it with set theory here you will read about math foundation crisis) -> type theory(curry howard correspondence or logic == program) personal perspective

I highly recommend Bartosz Milewski series in category theory https://www.youtube.com/watch?v=I8LbkfSSR58
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