Hi, I'm a professional (applied) mathematician and a website like that for mathematics is what I always dreamt of making ;) Even tried to apply to YC once with the idea but didn't really get very far with it. The need to provide a paycheck for my family unfortunately makes it quite hard to find enough free time to proceed with the plan but maybe if there are enough people here who are interested, we can do it together?
If interested, drop me a message at jerry at millionintegrals com.
I'm sure I read an article once, maybe about Andrew Wiles, where they said something like "there is no map of mathematics, you can trace the routes from point A to point B, but you'll never get a feel for the territory"...
I had the same thought as I clicked on this. I've thought about it before, too. I wish there was a Feynman Lectures equivalent for math (and other subjects, too). For someone who didn't take much math in undergrad (regrettably), I find it difficult to navigate on my own, especially as it's a very incremental subject in the beginning (i.e., you can't ignore the fundamentals, or you'll be lost/confused).
Although I like https://brilliant.org/, I find some of the lessons to be a little too thin for me.
Bill Shillito's lecture series for Project Polymath is by a mile, the best introduction to higher level mathematics. It requires absolutely no prerequisite knowledge.
But it's so great I think it bears bringing up in case anyone reading this comment has missed it. This channel animates math proofs, shows you the intuition behind fields of math, and constructs subjects in such a way as to make you feel like you could have invented them yourself. You'll still need a good textbook or something to go with the videos, but they cement the understanding in your mind very well and even open the door to more formal proofs.
My favorite video is https://www.youtube.com/watch?v=NaL_Cb42WyY . You'll have to take an additional step to get a complete proof (hint: read and work through the One Sentence Proof), but this is a beautiful piece of mathematics, shown in an understandable manner.
Too many users tried to connect simultaneously since it is now on the front page. It now works again, but possible will crash again soon. If you get an error, just try again in a few minutes or tommorow
Though, as a person who is teaching physics from time to time (http://p.migdal.pl/2016/08/15/quantum-mechanics-for-high-sch...), my approach is start small. Otherwise it would be discouraging to have dozens of book you need to learn "anything". It masks that the pleasure is in the journey.
"This YouTube channel contains a series of Physics videos which are intended to give a basic introduction to the subjects covered. They explain the essence of the subject in as simple as way as possible. They assume basic knowledge of algebra and calculus and some general physics."
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[ 3.1 ms ] story [ 63.6 ms ] threadIf interested, drop me a message at jerry at millionintegrals com.
Although I like https://brilliant.org/, I find some of the lessons to be a little too thin for me.
Introduction to Higher Mathematics: https://www.youtube.com/playlist?list=PLZzHxk_TPOStgPtqRZ6Kz...
If you find he talks a bit slow, change your playback speed to 1.5x. Enjoy! :-)
But it's so great I think it bears bringing up in case anyone reading this comment has missed it. This channel animates math proofs, shows you the intuition behind fields of math, and constructs subjects in such a way as to make you feel like you could have invented them yourself. You'll still need a good textbook or something to go with the videos, but they cement the understanding in your mind very well and even open the door to more formal proofs.
My favorite video is https://www.youtube.com/watch?v=NaL_Cb42WyY . You'll have to take an additional step to get a complete proof (hint: read and work through the One Sentence Proof), but this is a beautiful piece of mathematics, shown in an understandable manner.
Though, as a person who is teaching physics from time to time (http://p.migdal.pl/2016/08/15/quantum-mechanics-for-high-sch...), my approach is start small. Otherwise it would be discouraging to have dozens of book you need to learn "anything". It masks that the pleasure is in the journey.
This thread quickly went into my favourites.
Here's an archive link:
https://web.archive.org/web/20180214010113/https://physicstr...
https://www.youtube.com/user/DrPhysicsA/videos
"This YouTube channel contains a series of Physics videos which are intended to give a basic introduction to the subjects covered. They explain the essence of the subject in as simple as way as possible. They assume basic knowledge of algebra and calculus and some general physics."