The Map of Mathematics

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Recommends NiklasMort · 2018-03 · on “Ask HN: How to self-learn math?”

I'd start with this video to get an overview of all the topics and areas that mathematics entails (some might be unknown to you) [this video] . Then you go ahead and research a bit what sounds interesting to you and then you might google that topic and add "foundations" to that google search. It's just that most school/university math is heavily focused on analysis and algebra but there is so much more!

Recommends AareyBaba · 2019-10 · on “Ask HN: Are there books for mathematics like Feynman's lectures on physics?”

I suggest this "Map of mathematics" as a starting point that gives you a reasonable birds-eye view of the field. [this video]

Recommends AareyBaba · 2020-02 · on “A Map of Mathematics”

This is a much more entertaining map of mathematics in about 10 minutes [this video] For a history of mathematics NJ Wildberger's lectures are easy to listen to. [LINK]

Recommends mathnmusic · 2020-09 · on “Why books don't work (2019)”

> shift this burden to the medium This is beautifully expressed. Knowledge consists of connections across concepts but those connections are rarely shown explicitly in textbooks. Even wikipedia, while allowing you to traverse the connections back and forth easily, does not do a great job of giving you the bird's eye view of a subject or a field. Check out this "map" of mathematics: [this video] Every subject needs a similar map. Besides visualizing the connections, we'd also need interactivity to the topic that helps with forming new mental models - which is the core aspect of learning. Jupyter notebooks, ObservableHQ, Mathigon are some of the good projects working on this aspect. Disclaimer: I a

Recommends lcordier · 2022-05 · on “Ask HN: How to learn math from zero for adults?”

This is a good map of Mathematics to get an overview of where you can go... [this video] Then Giles McMullen-Klein has an awesome recommended list for data science (your mileage may vary). [LINK]

Cites RossBencina · 2018-03 · on “Ask HN: How to self-learn math?”

I agree with other comments that "learn maths" is too broad. You can take a university degree in maths and still be just at the beginning of "learning maths." I recommend refining your goal somehow: perhaps to learn math related to certain applications that you're interested in, or learn math in a certain area (e.g. high-school algebra, geometry, probability, discrete math, graph theory, calculus, pure math, abstract algebra, topology, etc). If you have not mastered high-school algebra and other pre-calculus subjects, you should start there; most other maths subjects will assume that you know these things. Calculus takes up a lot of space in upper high-school and early university courses --

Cites sigi45 · 2018-04 · on “Berkeley offers its data science course online for free”

This is a general issue i have seen as well. We live in 2018 and there is no open source course for everything. Instead there are probably 10-30k universities who have similar courses and professors who give the same lecture every year. They get paid often enough by countries to create and do those courses. In germany most of our unversities are paid by all of us germans anyway. And what do you find online? Always the starter verion like 101 computer science or videos with bad audio or video, no proper exercises, no solution helper etc. Nothing. You have to go to different sites to sometimes pay or sometimes not. there are no local locations to meet up with people. There should be a global i

Cites lamename · 2021-01 · on “A Map of Mathematics”

The educational youtube channel Domain of Science has a pretty wide-scope Map of Mathematics, depending on your background [this video]